BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Grisha Taroyan (HSE)
DTSTART;VALUE=DATE-TIME:20220207T162000Z
DTEND;VALUE=DATE-TIME:20220207T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/1
DESCRIPTION:Title: Overview of the program for the spring term - 1\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;VALUE=DATE-TIME:20220209T162000Z
DTEND;VALUE=DATE-TIME:20220209T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/2
DESCRIPTION:Title: Yoga of higher categories - 1. Grothendieck dream\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;VALUE=DATE-TIME:20220214T162000Z
DTEND;VALUE=DATE-TIME:20220214T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/3
DESCRIPTION:Title: Yoga of higher categories - 2. Postnikov towers and group co
homology\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;VALUE=DATE-TIME:20220216T162000Z
DTEND;VALUE=DATE-TIME:20220216T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/4
DESCRIPTION:Title: Yoga of higher categories - 3\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;VALUE=DATE-TIME:20220223T162000Z
DTEND;VALUE=DATE-TIME:20220223T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/6
DESCRIPTION:Title: Categorical preliminaries of topos theory - 1. Classificatio
n of subobjects\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;VALUE=DATE-TIME:20220228T162000Z
DTEND;VALUE=DATE-TIME:20220228T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/7
DESCRIPTION:Title: Homotopical categories - 1. Kan extensions\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;VALUE=DATE-TIME:20220318T162000Z
DTEND;VALUE=DATE-TIME:20220318T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/9
DESCRIPTION:Title: Monoidal model categories - 1 (Monoidal categories)\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;VALUE=DATE-TIME:20220321T162000Z
DTEND;VALUE=DATE-TIME:20220321T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/10
DESCRIPTION:Title: Categorical preliminaries of topos theory - 2\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;VALUE=DATE-TIME:20220325T162000Z
DTEND;VALUE=DATE-TIME:20220325T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/11
DESCRIPTION:Title: Monoidal model categories - 2\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;VALUE=DATE-TIME:20220328T162000Z
DTEND;VALUE=DATE-TIME:20220328T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/12
DESCRIPTION:Title: Categorical preliminaries of topos theory - 3.\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;VALUE=DATE-TIME:20220401T162000Z
DTEND;VALUE=DATE-TIME:20220401T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/13
DESCRIPTION:Title: Monoidal model categories - 3\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;VALUE=DATE-TIME:20220404T162000Z
DTEND;VALUE=DATE-TIME:20220404T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/14
DESCRIPTION:Title: Kan extensions. Additional topics\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;VALUE=DATE-TIME:20220408T162000Z
DTEND;VALUE=DATE-TIME:20220408T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/15
DESCRIPTION:Title: Sheaves of sets - 1\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;VALUE=DATE-TIME:20220411T162000Z
DTEND;VALUE=DATE-TIME:20220411T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/16
DESCRIPTION:Title: Sheaves of sets - 2\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;VALUE=DATE-TIME:20220415T162000Z
DTEND;VALUE=DATE-TIME:20220415T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/17
DESCRIPTION:Title: Sheaves of sets - 3\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;VALUE=DATE-TIME:20220418T162000Z
DTEND;VALUE=DATE-TIME:20220418T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/18
DESCRIPTION:Title: Sheaves of sets - 4\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;VALUE=DATE-TIME:20220422T162000Z
DTEND;VALUE=DATE-TIME:20220422T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/19
DESCRIPTION:Title: Quasicategories - 1\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;VALUE=DATE-TIME:20220425T162000Z
DTEND;VALUE=DATE-TIME:20220425T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/20
DESCRIPTION:Title: Quasicategories - 2\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;VALUE=DATE-TIME:20220429T162000Z
DTEND;VALUE=DATE-TIME:20220429T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/21
DESCRIPTION:Title: Grothendieck topologies - 1\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;VALUE=DATE-TIME:20220502T162000Z
DTEND;VALUE=DATE-TIME:20220502T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/22
DESCRIPTION:Title: Quasicategories - 3\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;VALUE=DATE-TIME:20220506T162000Z
DTEND;VALUE=DATE-TIME:20220506T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/23
DESCRIPTION:Title: Quasicategories - 4\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;VALUE=DATE-TIME:20220905T162000Z
DTEND;VALUE=DATE-TIME:20220905T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/24
DESCRIPTION:Title: Introduction to homotopical algebra (overview of the progra
m for the Fall term)\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;VALUE=DATE-TIME:20220509T162000Z
DTEND;VALUE=DATE-TIME:20220509T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/25
DESCRIPTION:Title: Zariski site\, sheaves on sites\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;VALUE=DATE-TIME:20220513T162000Z
DTEND;VALUE=DATE-TIME:20220513T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/26
DESCRIPTION:Title: Quasicategories - 5\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;VALUE=DATE-TIME:20220516T162000Z
DTEND;VALUE=DATE-TIME:20220516T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/27
DESCRIPTION:Title: Associated sheaf functor on arbitrary sites\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;VALUE=DATE-TIME:20220520T162000Z
DTEND;VALUE=DATE-TIME:20220520T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/28
DESCRIPTION:Title: Elementary properties of categories of sheaves on sites
\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;VALUE=DATE-TIME:20220523T162000Z
DTEND;VALUE=DATE-TIME:20220523T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/29
DESCRIPTION:Title: Quasicategories - 6\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;VALUE=DATE-TIME:20220527T162000Z
DTEND;VALUE=DATE-TIME:20220527T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/30
DESCRIPTION:Title: S - categories and simplicial localization\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;VALUE=DATE-TIME:20220530T162000Z
DTEND;VALUE=DATE-TIME:20220530T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/31
DESCRIPTION:Title: Conclusion\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;VALUE=DATE-TIME:20220909T162000Z
DTEND;VALUE=DATE-TIME:20220909T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/32
DESCRIPTION:Title: Model categories and homotopical categories\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;VALUE=DATE-TIME:20220912T162000Z
DTEND;VALUE=DATE-TIME:20220912T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/33
DESCRIPTION:Title: Homotopy category of a model category\, model categories ar
e saturated\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;VALUE=DATE-TIME:20220916T162000Z
DTEND;VALUE=DATE-TIME:20220916T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/34
DESCRIPTION:Title: Quillen functors and derived functors - 1\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;VALUE=DATE-TIME:20220919T162000Z
DTEND;VALUE=DATE-TIME:20220919T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/35
DESCRIPTION:Title: Quillen functors and derived functors - 2\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;VALUE=DATE-TIME:20220926T162000Z
DTEND;VALUE=DATE-TIME:20220926T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/37
DESCRIPTION:Title: Homotopical cocompleteness and completeness of model catego
ries - 1\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;VALUE=DATE-TIME:20220930T162000Z
DTEND;VALUE=DATE-TIME:20220930T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/38
DESCRIPTION:Title: Homotopical cocompleteness and completeness of model catego
ries - 2\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;VALUE=DATE-TIME:20221003T162000Z
DTEND;VALUE=DATE-TIME:20221003T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/39
DESCRIPTION:Title: Homotopical cocompleteness and completeness of model catego
ries - 3\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;VALUE=DATE-TIME:20221014T162000Z
DTEND;VALUE=DATE-TIME:20221014T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/40
DESCRIPTION:Title: Henry Model Structure\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;VALUE=DATE-TIME:20221021T162000Z
DTEND;VALUE=DATE-TIME:20221021T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/43
DESCRIPTION:Title: Inconcretness of homotopy categories\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;VALUE=DATE-TIME:20221031T162000Z
DTEND;VALUE=DATE-TIME:20221031T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/44
DESCRIPTION:Title: Joyal' Lifting Theorem\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;VALUE=DATE-TIME:20221107T162000Z
DTEND;VALUE=DATE-TIME:20221107T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/45
DESCRIPTION:Title: Nerve—realization adjunction and bar construction\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;VALUE=DATE-TIME:20221111T162000Z
DTEND;VALUE=DATE-TIME:20221111T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/46
DESCRIPTION:Title: Introduction to analytic geometry\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;VALUE=DATE-TIME:20221114T162000Z
DTEND;VALUE=DATE-TIME:20221114T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/47
DESCRIPTION:Title: Homotopically final functors and examples of calculations w
ith homotopy (co)limits\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;VALUE=DATE-TIME:20221121T162000Z
DTEND;VALUE=DATE-TIME:20221121T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/48
DESCRIPTION:Title: Weighted (co)limits\, Gambino's theorem\, Reedy models stru
ctures\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;VALUE=DATE-TIME:20221128T162000Z
DTEND;VALUE=DATE-TIME:20221128T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/49
DESCRIPTION:Title: Reedy models structures - 2\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;VALUE=DATE-TIME:20221202T162000Z
DTEND;VALUE=DATE-TIME:20221202T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/50
DESCRIPTION:Title: Applications of Reedy theory\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;VALUE=DATE-TIME:20221212T162000Z
DTEND;VALUE=DATE-TIME:20221212T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/51
DESCRIPTION:Title: Brown representability theorem and homotopy types\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;VALUE=DATE-TIME:20221209T162000Z
DTEND;VALUE=DATE-TIME:20221209T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/52
DESCRIPTION:Title: Dold--Kan correspondence\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;VALUE=DATE-TIME:20221216T162000Z
DTEND;VALUE=DATE-TIME:20221216T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/53
DESCRIPTION:Title: Quillen's Rational Homotopy Theory\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;VALUE=DATE-TIME:20221223T162000Z
DTEND;VALUE=DATE-TIME:20221223T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/54
DESCRIPTION:Title: Structures on homotopy category of a model category\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;VALUE=DATE-TIME:20230109T162000Z
DTEND;VALUE=DATE-TIME:20230109T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/55
DESCRIPTION:Title: Topoi\, Higher Topoi and some examples\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;VALUE=DATE-TIME:20230113T162000Z
DTEND;VALUE=DATE-TIME:20230113T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/56
DESCRIPTION:Title: Jardin Model Structure on sPSh(C)\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;VALUE=DATE-TIME:20230116T162000Z
DTEND;VALUE=DATE-TIME:20230116T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/57
DESCRIPTION:Title: Higher Prequantum Geometry\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;VALUE=DATE-TIME:20230123T162000Z
DTEND;VALUE=DATE-TIME:20230123T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/58
DESCRIPTION:Title: Higher Prequantum Geometry II\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;VALUE=DATE-TIME:20230127T162000Z
DTEND;VALUE=DATE-TIME:20230127T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/59
DESCRIPTION:Title: The point of being pointless\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;VALUE=DATE-TIME:20230130T162000Z
DTEND;VALUE=DATE-TIME:20230130T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/60
DESCRIPTION:Title: Elementary topoi\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;VALUE=DATE-TIME:20230203T162000Z
DTEND;VALUE=DATE-TIME:20230203T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/61
DESCRIPTION:Title: Homological algebra in topoi\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;VALUE=DATE-TIME:20230206T162000Z
DTEND;VALUE=DATE-TIME:20230206T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/62
DESCRIPTION:Title: Homological algebra in topoi II\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;VALUE=DATE-TIME:20230210T162000Z
DTEND;VALUE=DATE-TIME:20230210T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/63
DESCRIPTION:Title: Homological algebra in topoi III\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;VALUE=DATE-TIME:20230213T162000Z
DTEND;VALUE=DATE-TIME:20230213T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/64
DESCRIPTION:Title: Elementary Higher Topoi. Why should the Topologist Care?\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;VALUE=DATE-TIME:20230217T162000Z
DTEND;VALUE=DATE-TIME:20230217T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/65
DESCRIPTION:Title: Free discussion\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;VALUE=DATE-TIME:20230220T162000Z
DTEND;VALUE=DATE-TIME:20230220T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/66
DESCRIPTION:Title: ∞-cosmoi I\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;VALUE=DATE-TIME:20230224T162000Z
DTEND;VALUE=DATE-TIME:20230224T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/67
DESCRIPTION:Title: Homological algebra in topoi IV\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;VALUE=DATE-TIME:20230227T162000Z
DTEND;VALUE=DATE-TIME:20230227T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/69
DESCRIPTION:Title: $\\infty$-cosmoi II. Simplicial Categories and Homotopy Coh
erence\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;VALUE=DATE-TIME:20230303T162000Z
DTEND;VALUE=DATE-TIME:20230303T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/70
DESCRIPTION:Title: $\\Theta_n$ — Trees and Disks\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;VALUE=DATE-TIME:20230306T162000Z
DTEND;VALUE=DATE-TIME:20230306T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/71
DESCRIPTION:Title: $\\infty$-cosmoi III\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;VALUE=DATE-TIME:20230310T165000Z
DTEND;VALUE=DATE-TIME:20230310T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/72
DESCRIPTION:Title: Extended Reflection Positivity for Invertible TQFTs\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;VALUE=DATE-TIME:20230317T165000Z
DTEND;VALUE=DATE-TIME:20230317T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/73
DESCRIPTION:Title: Extended Reflection Positivity for Invertible TQFTs II\
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;VALUE=DATE-TIME:20230320T162000Z
DTEND;VALUE=DATE-TIME:20230320T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/74
DESCRIPTION:Title: $\\infty$-cosmoi IV. Adjunctions\, limits and colimits in $
\\infty$-cosmoi\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;VALUE=DATE-TIME:20230331T165000Z
DTEND;VALUE=DATE-TIME:20230331T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/75
DESCRIPTION:Title: Extended Reflection Positivity for Invertible TQFTs III
\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;VALUE=DATE-TIME:20230327T155000Z
DTEND;VALUE=DATE-TIME:20230327T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/76
DESCRIPTION:Title: Comma $\\infty$-categories\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;VALUE=DATE-TIME:20230403T162000Z
DTEND;VALUE=DATE-TIME:20230403T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/77
DESCRIPTION:Title: $\\infty$-cosmoi IV. Representable Comma ∞-Categories & M
odel Independence\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;VALUE=DATE-TIME:20230414T162000Z
DTEND;VALUE=DATE-TIME:20230414T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/78
DESCRIPTION:Title: Cotangent complex: definition\, properties\, and basic appl
ications\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;VALUE=DATE-TIME:20230421T162000Z
DTEND;VALUE=DATE-TIME:20230421T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/79
DESCRIPTION:Title: Formal moduli problems and Lie algebras\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;VALUE=DATE-TIME:20230424T162000Z
DTEND;VALUE=DATE-TIME:20230424T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/80
DESCRIPTION:Title: Elements of unstable motivic homotopy theory\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;VALUE=DATE-TIME:20230508T162000Z
DTEND;VALUE=DATE-TIME:20230508T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/82
DESCRIPTION:Title: ∞-Category of Motivic Coarse Spaces\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;VALUE=DATE-TIME:20230512T162000Z
DTEND;VALUE=DATE-TIME:20230512T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/83
DESCRIPTION:Title: ∞-Category of Motivic Coarse Spaces II\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;VALUE=DATE-TIME:20230515T162000Z
DTEND;VALUE=DATE-TIME:20230515T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/84
DESCRIPTION:Title: ∞-Category of Motivic Coarse Spaces. Part III\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;VALUE=DATE-TIME:20230522T162000Z
DTEND;VALUE=DATE-TIME:20230522T180000Z
DTSTAMP;VALUE=DATE-TIME:20240224T063045Z
UID:HomotopyTheoryAndApps/85
DESCRIPTION:Title: Examples of coarse homology theories\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