BEGIN:VCALENDAR
VERSION:2.0
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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220207T162000Z
DTEND:20220207T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/1/">Overview of the program for the spring term - 1</a>\nby Gris
 ha Taroyan (HSE) as part of Study seminar on homotopy theory and applicati
 ons\n\n\nAbstract\nWe will talk about general plans for this term\, cover 
 some examples\, and time permitting will go through some material from Bae
 z's notes\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220209T162000Z
DTEND:20220209T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/2/">Yoga of higher categories - 1. Grothendieck dream</a>\nby Gr
 isha Taroyan (HSE) as part of Study seminar on homotopy theory and applica
 tions\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220214T162000Z
DTEND:20220214T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/3/">Yoga of higher categories - 2. Postnikov towers and group co
 homology</a>\nby Grisha Taroyan (HSE) as part of Study seminar on homotopy
  theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220216T162000Z
DTEND:20220216T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/4/">Yoga of higher categories - 3</a>\nby Grisha Taroyan (HSE) a
 s part of Study seminar on homotopy theory and applications\n\nAbstract: T
 BA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220223T162000Z
DTEND:20220223T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/6/">Categorical preliminaries of topos theory - 1. Classificatio
 n of subobjects</a>\nby Grisha Taroyan (HSE) as part of Study seminar on h
 omotopy theory and applications\n\n\nAbstract\nReview of basic categories 
 and categorical constructions we will use: pullbacks\, subobject classfier
 s. Based first 4 paragraphs of the first chapter of "Sheaves in Geometry a
 nd Logic"\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arseny Kryazhev
DTSTART:20220228T162000Z
DTEND:20220228T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/7/">Homotopical categories - 1. Kan extensions</a>\nby Arseny Kr
 yazhev as part of Study seminar on homotopy theory and applications\n\nAbs
 tract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220318T162000Z
DTEND:20220318T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/9/">Monoidal model categories - 1 (Monoidal categories)</a>\nby 
 Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and appli
 cations\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220321T162000Z
DTEND:20220321T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/10/">Categorical preliminaries of topos theory - 2</a>\nby Grish
 a Taroyan (HSE) as part of Study seminar on homotopy theory and applicatio
 ns\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220325T162000Z
DTEND:20220325T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/11/">Monoidal model categories - 2</a>\nby Grisha Taroyan (HSE) 
 as part of Study seminar on homotopy theory and applications\n\nAbstract: 
 TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220328T162000Z
DTEND:20220328T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/12/">Categorical preliminaries of topos theory - 3.</a>\nby Gris
 ha Taroyan (HSE) as part of Study seminar on homotopy theory and applicati
 ons\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220401T162000Z
DTEND:20220401T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/13/">Monoidal model categories - 3</a>\nby Grisha Taroyan (HSE) 
 as part of Study seminar on homotopy theory and applications\n\nAbstract: 
 TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220404T162000Z
DTEND:20220404T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/14/">Kan extensions. Additional topics</a>\nby Misha Kornev (MSU
 ) as part of Study seminar on homotopy theory and applications\n\nAbstract
 : TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220408T162000Z
DTEND:20220408T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/15/">Sheaves of sets - 1</a>\nby Misha Kornev (MSU) as part of S
 tudy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220411T162000Z
DTEND:20220411T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/16/">Sheaves of sets - 2</a>\nby Misha Kornev (MSU) as part of S
 tudy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220415T162000Z
DTEND:20220415T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/17/">Sheaves of sets - 3</a>\nby Misha Kornev (MSU) as part of S
 tudy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MSU)
DTSTART:20220418T162000Z
DTEND:20220418T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/18/">Sheaves of sets - 4</a>\nby Misha Kornev (MSU) as part of S
 tudy seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220422T162000Z
DTEND:20220422T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/19/">Quasicategories - 1</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220425T162000Z
DTEND:20220425T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/20/">Quasicategories - 2</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220429T162000Z
DTEND:20220429T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/21/">Grothendieck topologies - 1</a>\nby Grisha Taroyan (HSE) as
  part of Study seminar on homotopy theory and applications\n\nAbstract: TB
 A\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220502T162000Z
DTEND:20220502T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/22/">Quasicategories - 3</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220506T162000Z
DTEND:20220506T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/23/">Quasicategories - 4</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE\, UofT)
DTSTART:20220905T162000Z
DTEND:20220905T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/24/">Introduction to homotopical algebra (overview of the progra
 m for the Fall term)</a>\nby Grisha Taroyan (HSE\, UofT) as part of Study 
 seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220509T162000Z
DTEND:20220509T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/25/">Zariski site\, sheaves on sites</a>\nby Grisha Taroyan (HSE
 ) as part of Study seminar on homotopy theory and applications\n\nAbstract
 : TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220513T162000Z
DTEND:20220513T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/26/">Quasicategories - 5</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220516T162000Z
DTEND:20220516T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/27/">Associated sheaf functor on arbitrary sites</a>\nby Grisha 
 Taroyan (HSE) as part of Study seminar on homotopy theory and applications
 \n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220520T162000Z
DTEND:20220520T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/28/">Elementary properties of categories of sheaves on sites</a>
 \nby Grisha Taroyan (HSE) as part of Study seminar on homotopy theory and 
 applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20220523T162000Z
DTEND:20220523T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/29/">Quasicategories - 6</a>\nby Cyrill Barlasov as part of Stud
 y seminar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Teplyakov
DTSTART:20220527T162000Z
DTEND:20220527T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/30/">S - categories and simplicial localization</a>\nby Egor Tep
 lyakov as part of Study seminar on homotopy theory and applications\n\nAbs
 tract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART:20220530T162000Z
DTEND:20220530T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/31/">Conclusion</a>\nby Grisha Taroyan (HSE) as part of Study se
 minar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE\, UofT)
DTSTART:20220909T162000Z
DTEND:20220909T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/32/">Model categories and homotopical categories</a>\nby Grisha 
 Taroyan (HSE\, UofT) as part of Study seminar on homotopy theory and appli
 cations\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220912T162000Z
DTEND:20220912T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/33/">Homotopy category of a model category\, model categories ar
 e saturated</a>\nby Grisha Taroian (HSE\, UofT) as part of Study seminar o
 n homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220916T162000Z
DTEND:20220916T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/34/">Quillen functors and derived functors - 1</a>\nby Grisha Ta
 roian (HSE\, UofT) as part of Study seminar on homotopy theory and applica
 tions\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220919T162000Z
DTEND:20220919T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/35/">Quillen functors and derived functors - 2</a>\nby Grisha Ta
 roian (HSE\, UofT) as part of Study seminar on homotopy theory and applica
 tions\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220926T162000Z
DTEND:20220926T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/37/">Homotopical cocompleteness and completeness of model catego
 ries - 1</a>\nby Grisha Taroian (HSE\, UofT) as part of Study seminar on h
 omotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20220930T162000Z
DTEND:20220930T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/38/">Homotopical cocompleteness and completeness of model catego
 ries - 2</a>\nby Grisha Taroian (HSE\, UofT) as part of Study seminar on h
 omotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221003T162000Z
DTEND:20221003T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/39/">Homotopical cocompleteness and completeness of model catego
 ries - 3</a>\nby Grisha Taroian (HSE\, UofT) as part of Study seminar on h
 omotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20221014T162000Z
DTEND:20221014T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/40/">Henry Model Structure</a>\nby Amartya Shekhar Dubey (NISER)
  as part of Study seminar on homotopy theory and applications\n\nAbstract:
  TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221021T162000Z
DTEND:20221021T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/43/">Inconcretness of homotopy categories</a>\nby Misha Kornev (
 MIRAS) as part of Study seminar on homotopy theory and applications\n\nAbs
 tract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heiko Braun (University of Bonn)
DTSTART:20221031T162000Z
DTEND:20221031T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/44/">Joyal' Lifting Theorem</a>\nby Heiko Braun (University of B
 onn) as part of Study seminar on homotopy theory and applications\n\nAbstr
 act: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221107T162000Z
DTEND:20221107T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/45/">Nerve—realization adjunction and bar construction</a>\nby
  Misha Kornev (MIRAS) as part of Study seminar on homotopy theory and appl
 ications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Logan Hyslop (UCLA)
DTSTART:20221111T162000Z
DTEND:20221111T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/46/">Introduction to analytic geometry</a>\nby Logan Hyslop (UCL
 A) as part of Study seminar on homotopy theory and applications\n\nAbstrac
 t: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221114T162000Z
DTEND:20221114T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/47/">Homotopically final functors and examples of calculations w
 ith homotopy (co)limits</a>\nby Misha Kornev (MIRAS) as part of Study semi
 nar on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221121T162000Z
DTEND:20221121T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/48/">Weighted (co)limits\, Gambino's theorem\, Reedy models stru
 ctures</a>\nby Misha Kornev (MIRAS) as part of Study seminar on homotopy t
 heory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221128T162000Z
DTEND:20221128T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/49/">Reedy models structures - 2</a>\nby Misha Kornev (MIRAS) as
  part of Study seminar on homotopy theory and applications\n\nAbstract: TB
 A\n\nReferences (see https://sites.google.com/view/homotopy-basics-seminar
 /english-page/references) \n\n1) Emily Riehl. Categorical Homotopy Theory 
 (Chapter 14) \n\n2) Philip S. Hirschhorn. Model categories and their local
 izations (Chapter 15)\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20221202T162000Z
DTEND:20221202T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/50/">Applications of Reedy theory</a>\nby Misha Kornev (MIRAS) a
 s part of Study seminar on homotopy theory and applications\n\nAbstract: T
 BA\n\nComments: References (see sites.google.com/view/homotopy-basics-semi
 nar/english-page/references)\n\n1) Emily Riehl. Categorical Homotopy Theor
 y (Chapter 14)\n\n2) Philip S. Hirschhorn. Model categories and their loca
 lizations (Chapter 15)\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cyrill Barlasov
DTSTART:20221212T162000Z
DTEND:20221212T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/51/">Brown representability theorem and homotopy types</a>\nby C
 yrill Barlasov as part of Study seminar on homotopy theory and application
 s\n\n\nAbstract\nBrown theorem applies to functors from pointed CW-complex
 es to abelian groups.\nThere is a way to generalize it for arbitrary compl
 exes and groupoids.\nPart of the benefit is that it gives a categorical de
 scription of homotopy types without any choice of specific model structure
  or weak equivalences.\n\nwe are going to make use of the notion of a grou
 poids family\, or "category fibered in groupoids\,"\nconstruction similar 
 to a stack\nso you may want to refresh your knowledge\, and lookup for tha
 t\, maybe in stacksproject (link related)\n\nhttps://stacks.math.columbia.
 edu/tag/0266\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Teplyakov (IUM)
DTSTART:20221209T162000Z
DTEND:20221209T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/52/">Dold--Kan correspondence</a>\nby Egor Teplyakov (IUM) as pa
 rt of Study seminar on homotopy theory and applications\n\nAbstract: TBA\n
 \nReference (see https://drive.google.com/file/d/1in9hpDSE93-NjvCtesrkoeuN
 P7_nQsdz/view?usp=sharing)\n\nPaul G. Goerss and Rick Jardine. Simplicial 
 Homotopy Theory (Chapter III\, Section 2)\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221216T162000Z
DTEND:20221216T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/53/">Quillen's Rational Homotopy Theory</a>\nby Grisha Taroian (
 HSE\, UofT) as part of Study seminar on homotopy theory and applications\n
 \n\nAbstract\nThis talk is an overview of an integral part of Rational Hom
 otopy Theory: Quillen Models. Due to the format\, almost no proofs would b
 e given. We would\, however\, see some very material applications of model
  categories.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20221223T162000Z
DTEND:20221223T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/54/">Structures on homotopy category of a model category</a>\nby
  Grisha Taroian (HSE\, UofT) as part of Study seminar on homotopy theory a
 nd applications\n\n\nAbstract\nI will try to give a whirlwind tour of idea
 s and methods that allow to endow the category $\\operatorname{Ho}(M)$ wit
 h a structure of a closed $\\operatorname{Ho}(sSet)$-module in a canonical
  way. We will also discuss pre-triangulated structures on homotopy categor
 ies and see how a triangulation on the homotopy category makes a model cat
 egory stable.\n\nReference (see https://drive.google.com/file/d/1in9hpDSE9
 3-NjvCtesrkoeuNP7_nQsdz/view?usp=sharing)\n\nMark Hovey. Model Categories 
 (Chapters 5--7)\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230109T162000Z
DTEND:20230109T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/55/">Topoi\, Higher Topoi and some examples</a>\nby Grisha Taroi
 an (HSE\, UofT) as part of Study seminar on homotopy theory and applicatio
 ns\n\n\nAbstract\nIn this talk\, I will try to motivate our program for th
 is term. I will somewhat explain why a topos-theoretic perspective can be 
 beneficial for some concrete problems. I will also try to broadly explain 
 one technical aspect in constructing examples of higher topoi --- Jardine 
 model structure.\n\nThis talk is mainly based on two papers:\n\n1) "Hyperc
 overs and simplicial presheaves" Daniel Dugger\, Sharon Hollander\, Daniel
  C. Isaksen\, arXiv:math/0205027\n\n2) "Chern-Weil forms and abstract homo
 topy theory" Daniel S. Freed\, Michael J. Hopkins\,  arXiv:1301.5959\n\nIn
  the end\, the talk only covered the second paper in a meaningful way.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230113T162000Z
DTEND:20230113T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/56/">Jardin Model Structure on sPSh(C)</a>\nby Grisha Taroian (H
 SE\, UofT) as part of Study seminar on homotopy theory and applications\n\
 n\nAbstract\nJardine model structure on simplicial presheaves is an exampl
 e of a local model structure. This means that its weak equivalences are gi
 ven by local weak equivalences. It is constructed as a left Bousfield loca
 lization of the injective model structure on simplicial presheaves. As it 
 turns out\, it is possible to describe fibrant objects and fibration of th
 is model structure in terms of homotopical descent. That is a homotopical 
 version of the sheaf condition.\n\n\nThe talk will be primarily based on t
 he Dugger\, Hollander\, Isaksen paper arXiv:math/0205027v2.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230116T162000Z
DTEND:20230116T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/57/">Higher Prequantum Geometry</a>\nby Grisha Taroian (HSE\, Uo
 fT) as part of Study seminar on homotopy theory and applications\n\n\nAbst
 ract\nAs a result of this talk\, we will hopefully be able to answer an ag
 e-old question: are higher categories applicable in the soviet economy?\n\
 nIn particular\, I will try to explain why higher geometric structures are
  necessary to do physics. The presentation will be very informal in both p
 hysical and mathematical senses.\n\nThe primary source for this is (the ve
 ry beginning) of Urs Schreiber's book on Differential cohomology in higher
  cohesive topoi. (link: https://ncatlab.org/schreiber/files/dcct170811.pdf
 )\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230123T162000Z
DTEND:20230123T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/58/">Higher Prequantum Geometry II</a>\nby Grisha Taroian (HSE\,
  UofT) as part of Study seminar on homotopy theory and applications\n\n\nA
 bstract\nToday we will cover the remaining motivational aspects of higher 
 geometry as presented in Schreiber's book. In particular\, we will see how
  to extend the ideas about local Lagrangians from the last talk to higher 
 gerbes. We will also give unreasonably high-brow proof of the fact that th
 e phase space has a canonical (pre)symplectic structure. Finally\, we will
  give a physical motivation for the notion of Lagrangian correspondence an
 d its prequantization.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230127T162000Z
DTEND:20230127T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/59/">The point of being pointless</a>\nby Grisha Taroian (HSE\, 
 UofT) as part of Study seminar on homotopy theory and applications\n\n\nAb
 stract\nThis talk will be a quick introductory survey of the main ideas of
  pointless topology. In particular\, we will discuss frames\, locales\, an
 d localic topoi. The main sources are Chapter IX of MacLane\, Moerdijk\, J
 ohnstone's paper "The Point of Pointless Topology\," and to a lesser exten
 t\, Johnstone's book on general topology\, "Stone Spaces".\n\nReference ca
 n be found here: https://sites.google.com/view/homotopy-basics-seminar/eng
 lish-page/references\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230130T162000Z
DTEND:20230130T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/60/">Elementary topoi</a>\nby Grisha Taroian (HSE\, UofT) as par
 t of Study seminar on homotopy theory and applications\n\n\nAbstract\nIn t
 his talk we will discuss elementary topoi\, a notion that we somewhat negl
 ected in the previous talks. An elementary topos is a direct generalizatio
 n of a Grothendieck topos due to Lawvere--Tierney. The exposition will clo
 sely follow Johnstone's classical book "Topos Theory."\n\nReferences can b
 e found here: https://sites.google.com/view/homotopy-basics-seminar/englis
 h-page/references\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230203T162000Z
DTEND:20230203T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/61
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/61/">Homological algebra in topoi</a>\nby Grisha Taroian (HSE\, 
 UofT) as part of Study seminar on homotopy theory and applications\n\n\nAb
 stract\nWe will discuss an abstract way to do homological algebra in an ar
 bitrary elementary topos. We will also see more "concrete" methods applica
 ble to Grothendieck topoi. The talk is based on Chapter 8 of Johnstone's "
 Topos Theory." A note of warning: some methods discussed there are a bit o
 ld-fashioned\, and we will see how to modernize them in later talks.\n\n\n
 References can be found here: https://sites.google.com/view/homotopy-basic
 s-seminar/english-page/references\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230206T162000Z
DTEND:20230206T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/62/">Homological algebra in topoi II</a>\nby Grisha Taroian (HSE
 \, UofT) as part of Study seminar on homotopy theory and applications\n\n\
 nAbstract\nWe will continue to discuss homological algebra (mostly in Grot
 hendieck topoi) with the aim of more concrete calculations. In particular\
 , we will describe abstract Cech methods and see how to interpret cohomolo
 gy in lower dimensions in terms of torsors. We will also define fundamenta
 l groups of topoi and do some elementary calculations with them. The talk 
 is still based on Chapter 8 in Johnstone's "Topos Theory"\n\nReferences ca
 n be found here: https://sites.google.com/view/homotopy-basics-seminar/eng
 lish-page/references\n\nWe were only able to cover functoriality of topos 
 cohomology and the definition of Cech cohomology.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230210T162000Z
DTEND:20230210T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/63/">Homological algebra in topoi III</a>\nby Grisha Taroian (HS
 E\, UofT) as part of Study seminar on homotopy theory and applications\n\n
 \nAbstract\nThis is the continuation of the previous 2 talks. We will (fin
 ally) define the Chech cohomology for objects in (Grothendieck) topoi. Als
 o\, we will start discussing the presentation of $H^1(\\mathcal{E}\;G)$ as
  a group of $G$-torsors on $\\mathcal{E}.$\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230213T162000Z
DTEND:20230213T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/64/">Elementary Higher Topoi. Why should the Topologist Care?</a
 >\nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homotopy t
 heory and applications\n\n\nAbstract\nElementary $\\infty$-topoi were intr
 oduced by Shulman as $\\infty$-categorical analogs of elementary topoi\, w
 ith many further developments due to Rasekh. In fact\, one of the primary 
 motivations for the development of Elementary $\\infty$-topos theory is to
  have a model of Homotopy Type Theory (which we now know to be true due to
  recent work by Cherradi). In this talk\, I will introduce elementary $\\i
 nfty$-topoi and talk about some algebraic topology we can do in an element
 ary $\\infty$-topos.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Everybody
DTSTART:20230217T162000Z
DTEND:20230217T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/65/">Free discussion</a>\nby Everybody as part of Study seminar 
 on homotopy theory and applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230220T162000Z
DTEND:20230220T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/66/">∞-cosmoi I</a>\nby Misha Kornev (MIRAS) as part of Study 
 seminar on homotopy theory and applications\n\n\nAbstract\nIn this series 
 of talks\, we will learn about $\\infty$-cosmoi in the sense of Emily Rieh
 l and Dominic Verity.\nThe first talk will be on quasi-categorical prelimi
 naries since constructions appearing here motivate the general theory.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Taroian (HSE\, UofT)
DTSTART:20230224T162000Z
DTEND:20230224T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/67/">Homological algebra in topoi IV</a>\nby Grisha Taroian (HSE
 \, UofT) as part of Study seminar on homotopy theory and applications\n\n\
 nAbstract\nIn this talk\, we will cover the remaining details about presen
 ting low-degree cohomology classes by torsors. I also hope to say somethin
 g about profinite/etale fundamental groups of topoi.\n\nReferences can be 
 found here: https://sites.google.com/view/homotopy-basics-seminar/english-
 page/references\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230227T162000Z
DTEND:20230227T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/69/">$\\infty$-cosmoi II. Simplicial Categories and Homotopy Coh
 erence</a>\nby Misha Kornev (MIRAS) as part of Study seminar on homotopy t
 heory and applications\n\n\nAbstract\nIn this talk\, we will discuss how o
 ne can produce quasi-categories from simplicial model categories. To do th
 is\, we will consider the fruitful notion of simplicial computads and thei
 r connection with Bergner’s model structure on simplicial categories.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Heiko Braun (University of Bonn)
DTSTART:20230303T162000Z
DTEND:20230303T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/70/">$\\Theta_n$ — Trees and Disks</a>\nby Heiko Braun (Univer
 sity of Bonn) as part of Study seminar on homotopy theory and applications
 \n\n\nAbstract\nThe category $\\Theta_n$ is a certain dense subcategory of
  nCat. We will explain the construction of $\\Theta_n$ as iterated wreath 
 product as well as via combinatorial disks and explain their relationship 
 to higher categories.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230306T162000Z
DTEND:20230306T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/71/">$\\infty$-cosmoi III</a>\nby Misha Kornev (MIRAS) as part o
 f Study seminar on homotopy theory and applications\n\n\nAbstract\nWe will
  talk about the 2-category of quasi-categories. After that\, we will give 
 the definition of $\\infty$-cosmoi and consider some general properties.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230310T165000Z
DTEND:20230310T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/72/">Extended Reflection Positivity for Invertible TQFTs</a>\nby
  Amartya Shekhar Dubey (NISER) as part of Study seminar on homotopy theory
  and applications\n\n\nAbstract\nOut of unitarity and locality in QFTs\, u
 nitarity is the one that hasn't been treated often in purely mathematical 
 contexts. In this talk\, I'll talk about the extended notion of reflection
  positivity\, the Wick-rotated manifestation of unitarity in field theory\
 , that goes with extended locality by talking about the special case of in
 vertible topological field theories. We'll see how stable homotopy theoret
 ical tools can be used to study such theories. This is work by Freed-Hopki
 ns.\n\nOne other source used during the talk is https://arxiv.org/abs/math
 /0605249\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230317T165000Z
DTEND:20230317T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/73/">Extended Reflection Positivity for Invertible TQFTs II</a>\
 nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homotopy the
 ory and applications\n\n\nAbstract\nOut of unitarity and locality in QFTs\
 , unitarity is the one that hasn't been treated often in purely mathematic
 al contexts. In this talk\, I'll talk about the extended notion of reflect
 ion positivity\, the Wick-rotated manifestation of unitarity in field theo
 ry\, that goes with extended locality by talking about the special case of
  invertible topological field theories. We'll see how stable homotopy theo
 retical tools can be used to study such theories. This is work by Freed-Ho
 pkins.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230320T162000Z
DTEND:20230320T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/74/">$\\infty$-cosmoi IV. Adjunctions\, limits and colimits in $
 \\infty$-cosmoi</a>\nby Misha Kornev (MIRAS) as part of Study seminar on h
 omotopy theory and applications\n\n\nAbstract\nFirst\, I will recall some 
 fruitful definitions and constructions from the previous talk. After that\
 , we will discuss adjunction\, limits\, colimits in $\\infty$-cosmoi\, and
  their properties.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amartya Shekhar Dubey (NISER)
DTSTART:20230331T165000Z
DTEND:20230331T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/75/">Extended Reflection Positivity for Invertible TQFTs III</a>
 \nby Amartya Shekhar Dubey (NISER) as part of Study seminar on homotopy th
 eory and applications\n\n\nAbstract\nOut of unitarity and locality in QFTs
 \, unitarity is the one that hasn't been treated often in purely mathemati
 cal contexts. In this talk\, I'll talk about the extended notion of reflec
 tion positivity\, the Wick-rotated manifestation of unitarity in field the
 ory\, that goes with extended locality by talking about the special case o
 f invertible topological field theories. We'll see how stable homotopy the
 oretical tools can be used to study such theories. This is work by Freed-H
 opkins.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230327T155000Z
DTEND:20230327T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/76/">Comma $\\infty$-categories</a>\nby Misha Kornev (MIRAS) as 
 part of Study seminar on homotopy theory and applications\n\n\nAbstract\nW
 e will talk about comma ∞-categories\, their properties and applications
 .\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230403T162000Z
DTEND:20230403T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/77/">$\\infty$-cosmoi IV. Representable Comma ∞-Categories & M
 odel Independence</a>\nby Misha Kornev (MIRAS) as part of Study seminar on
  homotopy theory and applications\n\n\nAbstract\nWe will talk about the ch
 aracterization of an absolute right lifting property in comma terms. As an
  application\, we will derive the model independence of limits\, colimits 
 and adjunctions in ∞-cosmoi\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Konovalov (HSE)
DTSTART:20230414T162000Z
DTEND:20230414T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/78/">Cotangent complex: definition\, properties\, and basic appl
 ications</a>\nby Grisha Konovalov (HSE) as part of Study seminar on homoto
 py theory and applications\n\n\nAbstract\nRecall that in classical algebra
 ic geometry Kahler differentials are used to linearize some sufficiently s
 mooth deformation problems. However\, when non-smoothness or stakiness is 
 present\, one has to use a derived version of the Kahler differentials -- 
 the cotangent complex. In this talk\, we will construct the cotangent comp
 lex of a commutative dg algebra\, prove its basic properties\, and study s
 ome simple deformation problems where it comes up naturally.\n\nSome usefu
 l references:\n\n1) In case you want to recall what the Kahler differentia
 ls are\, you may use any book on commutative algebra or scheme theory. For
  example\, you would find the material in Section 21.2 of $\\href{http://m
 ath.stanford.edu/~vakil/216blog/FOAGapr0123public.pdf}{\\text{R. Vakil's b
 ook}}.$\n\n2) Useful references for the cotangent complex: Section 1.2.1 o
 f $\\href{https://arxiv.org/abs/math/0404373}{\\text{arXiv:math/0404373}}$
 \; Chapter 1 of the 2nd volume of the book on derived algebraic geometry b
 y D. Gaitsgory and N. Rozenblyum\; Section 2 of $\\href{https://arxiv.org/
 abs/1305.6302}{\\text{arXiv:1305.6302}}$.\n\n3) References for the derived
  deformation theory: $\\href{https://www.math.ias.edu/~lurie/papers/DAG-X.
 pdf}{\\text{DAG-X}}$ by J. Lurie and Chapters 5-7 of the 2nd volume of the
  book by D. Gaitsgory and N. Rozenblyum.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Grisha Konovalov (HSE)
DTSTART:20230421T162000Z
DTEND:20230421T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/79/">Formal moduli problems and Lie algebras</a>\nby Grisha Kono
 valov (HSE) as part of Study seminar on homotopy theory and applications\n
 \n\nAbstract\nI will sketch a proof of the theorem saying that a deformati
 on problem over a point is controlled by a dg Lie algebra. Original refere
 nces are: $\\href{https://arxiv.org/abs/0705.0344}{\\text{arXiv:0705.0344}
 }$ by J. Pridham and $\\href{https://www.math.ias.edu/~lurie/papers/DAG-X.
 pdf}{\\text{DAG-X}}$ by J. Lurie. I will be mostly following the latter.\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MIRAS)
DTSTART:20230424T162000Z
DTEND:20230424T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/80/">Elements of unstable motivic homotopy theory</a>\nby Misha 
 Kornev (MIRAS) as part of Study seminar on homotopy theory and application
 s\n\n\nAbstract\nWe will talk about the $\\mathbb{A}^1$-homotopy theory of
  quasi-compact and quasi-separated schemes and discuss homotopy invariant 
 presheaves with transfers\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230508T162000Z
DTEND:20230508T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/82
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/82/">∞-Category of Motivic Coarse Spaces</a>\nby Misha Kornev 
 (MI RAS) as part of Study seminar on homotopy theory and applications\n\nA
 bstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230512T162000Z
DTEND:20230512T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/83/">∞-Category of Motivic Coarse Spaces II</a>\nby Misha Korn
 ev (MI RAS) as part of Study seminar on homotopy theory and applications\n
 \n\nAbstract\nLast time\, we introduced the category BornCoarse of bornolo
 gical coarse spaces. In this talk\, we will discuss products and coproduct
 s\, coarse equivalences\, flasque spaces and define the category of motivi
 c coarse spaces Spc(X) ⊂ PSh(BornCoarse).\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230515T162000Z
DTEND:20230515T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/84/">∞-Category of Motivic Coarse Spaces. Part III</a>\nby Mis
 ha Kornev (MI RAS) as part of Study seminar on homotopy theory and applica
 tions\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Misha Kornev (MI RAS)
DTSTART:20230522T162000Z
DTEND:20230522T180000Z
DTSTAMP:20260422T225827Z
UID:HomotopyTheoryAndApps/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HomotopyTheo
 ryAndApps/85/">Examples of coarse homology theories</a>\nby Misha Kornev (
 MI RAS) as part of Study seminar on homotopy theory and applications\n\n\n
 Abstract\nWe will consider some examples of coarse homology theories\, inc
 luding coarse ordinary homology\, equivariant ordinary homology and equiva
 riant coarse topological K-theory. We will also talk about connections wit
 h index theory.\n\nReferences:\n\n1. U. Bunke\, "Coarse geometry\," arXiv 
 (https://arxiv.org/abs/2305.09203)\n\n2.  Ulrich Bunke\, Alexander Engel\,
  "Homotopy Theory with Bornological Coarse Spaces"\n
LOCATION:https://researchseminars.org/talk/HomotopyTheoryAndApps/85/
END:VEVENT
END:VCALENDAR