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BEGIN:VEVENT
SUMMARY:Urs Schreiber (Czech Academy of Sciences)
DTSTART;VALUE=DATE-TIME:20220208T113000Z
DTEND;VALUE=DATE-TIME:20220208T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/1
DESCRIPTION:Title: Higher and Equivariant Bundles\nby Urs Schreiber (Czech Acade
my of Sciences) as part of Feza Gursey Center for Physics and Mathematics
Higher Structures Seminars\n\n\nAbstract\nThe natural promotion of the cla
ssical concept of (principal) fiber\nbundles to "higher structures"\, name
ly to equivariant principal infinity-bundles\ninternal to a singular-cohes
ive infinity-topos\, turns out to be a natural foundation\nfor generalized
cohomology theory in the full beauty of "twisted\nequivariant differentia
l non-abelian cohomology of orbifolds"\, and as such for much of the highe
r homotopical mathematics needed at the interface of algebraic topology\,
geometry and mathematical quantum physics. This talk gives some introducti
on and overview\, based on joint work with H. Sati (arXiv:2008.01101\, arX
iv:2112.13654).\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masanori Morishita (Kyushu University)
DTSTART;VALUE=DATE-TIME:20220125T113000Z
DTEND;VALUE=DATE-TIME:20220125T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/2
DESCRIPTION:Title: Arithmetic topology and arithmetic TQFT\nby Masanori Morishit
a (Kyushu University) as part of Feza Gursey Center for Physics and Mathem
atics Higher Structures Seminars\n\n\nAbstract\nI will talk about some top
ics in arithmetic topology\, related withclass field theory\,\n and then a
n arithmetic analog of Dijkgraaf-Witten topological quantum field theory.\
n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kadri Ilker Berktav (Middle East Technical University)
DTSTART;VALUE=DATE-TIME:20220222T113000Z
DTEND;VALUE=DATE-TIME:20220222T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/3
DESCRIPTION:Title: Symplectic Structures on Derived Schemes\nby Kadri Ilker Berk
tav (Middle East Technical University) as part of Feza Gursey Center for P
hysics and Mathematics Higher Structures Seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Berkan Üze (Boğaziçi University)
DTSTART;VALUE=DATE-TIME:20220308T113000Z
DTEND;VALUE=DATE-TIME:20220308T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/4
DESCRIPTION:Title: A Glimpse of Noncommutative Motives\nby Berkan Üze (Boğazi
çi University) as part of Feza Gursey Center for Physics and Mathematics
Higher Structures Seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mehmet Akif Erdal (Yeditepe University)
DTSTART;VALUE=DATE-TIME:20220412T113000Z
DTEND;VALUE=DATE-TIME:20220412T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/5
DESCRIPTION:Title: Homotopy theory of monoid actions via group actions and an Elmend
orf style theorem\nby Mehmet Akif Erdal (Yeditepe University) as part
of Feza Gursey Center for Physics and Mathematics Higher Structures Semina
rs\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haldun Özgür Bayındır (City University of London)
DTSTART;VALUE=DATE-TIME:20220426T113000Z
DTEND;VALUE=DATE-TIME:20220426T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/6
DESCRIPTION:Title: Adjoining roots to ring spectra and algebraic K-theory\nby Ha
ldun Özgür Bayındır (City University of London) as part of Feza Gursey
Center for Physics and Mathematics Higher Structures Seminars\n\nAbstract
: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juan Orendain (Universidad Nacional Autónoma de México)
DTSTART;VALUE=DATE-TIME:20220510T160000Z
DTEND;VALUE=DATE-TIME:20220510T170000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/7
DESCRIPTION:Title: Higher lattice gauge fields and cubical $\\omega$-groupoids\n
by Juan Orendain (Universidad Nacional Autónoma de México) as part of Fe
za Gursey Center for Physics and Mathematics Higher Structures Seminars\n\
n\nAbstract\nGauge fields describe parallel transport of point particles\n
along curves\, with respect to connections on principal bundles. This\ndat
a is captured as a smooth functor from the smooth path groupoid of\nthe ba
se manifold into the delooping groupoid of the structure group\,\nplus glu
ing data. Lattice gauge fields do this for discretized versions\nof a base
manifold. A lattice gauge field is thus a functor from a\ndiscrete versio
n of the path groupoid to a delooping groupoid. Lattice\ngauge fields are
meant to serve as discrete approximations of regular\ngauge fields.\n\nHig
her gauge fields describe parallel transport of curves along\nsurfaces\, o
f surfaces along volumes\, etc. Several versions of\n2-dimensional gauge f
ield have appeared in the literature. I will\nexplain how to extend these
ideas to lattice gauge fields on all\ndimensions\, using Brown's cubical h
omotopy \\omega-groupoid construction\nassociated to filtered spaces\, imp
lementing a discrete notion of thin\nhomotopy along the way.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tatsuki Kuwagaki (Kyoto University)
DTSTART;VALUE=DATE-TIME:20220524T113000Z
DTEND;VALUE=DATE-TIME:20220524T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/8
DESCRIPTION:Title: An introduction to perverse schober\nby Tatsuki Kuwagaki (Kyo
to University) as part of Feza Gursey Center for Physics and Mathematics H
igher Structures Seminars\n\n\nAbstract\nA perverse sheaf is the topologic
al counterpart of a differential equation with (regular) singularities. A
perverse schober is "a category-valued perverse sheaf". It consists of mon
odromy of categories and their behaviors around singularities. The notion
of perverse schober quite naturally appears in many contexts e.g.\, mirror
symmetry. In this talk\, I'll give an introduction to a very elementary p
art of perverse schober and related topics.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aaron Mazel-Gee (California Institute of Technology)
DTSTART;VALUE=DATE-TIME:20221108T150000Z
DTEND;VALUE=DATE-TIME:20221108T160000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/10
DESCRIPTION:Title: Towards knot homology for 3-manifolds\nby Aaron Mazel-Gee (C
alifornia Institute of Technology) as part of Feza Gursey Center for Physi
cs and Mathematics Higher Structures Seminars\n\n\nAbstract\nThe Jones pol
ynomial is an invariant of knots in $\\mathbb R^3$. Following a proposal o
f Witten\, it was extended to knots in 3-manifolds by Reshetikhin-Turaev u
sing quantum groups.\nKhovanov homology is a categorification of the Jones
polynomial of a knot in $\\mathbb R^3$\, analogously to how ordinary homo
logy is a categorification of the Euler characteristic of a space. It is a
major open problem to extend Khovanov homology to knots in 3-manifolds.\n
In this talk\, I will explain forthcoming work towards solving this proble
m\, joint with Leon Liu\,\nDavid Reutter\, Catharina Stroppel\, and Paul W
edrich. Roughly speaking\, our contribution amounts\nto the first instance
of a braiding on 2-representations of a categorified quantum group. More\
nprecisely\, we construct a braided (∞\,2)-category that simultaneously
incorporates all of Rouquier's\nbraid group actions on Hecke categories in
type A\, articulating a novel compatibility among them.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Can Yaylalı (Technische Universität Darmstadt)
DTSTART;VALUE=DATE-TIME:20221122T140000Z
DTEND;VALUE=DATE-TIME:20221122T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/11
DESCRIPTION:Title: Derived F-zips\nby Can Yaylalı (Technische Universität Dar
mstadt) as part of Feza Gursey Center for Physics and Mathematics Higher S
tructures Seminars\n\n\nAbstract\nThe theory of F-zips is a positive chara
cteristic analog of the theory of integral Hodge-structures. As shown by M
oonen and Wedhorn\, one can associate to any proper smooth scheme with deg
enerating Hodge-de Rham spectral sequence and ﬁnite locally free Hodge c
ohomologies an F-zips\, via its n-th de Rham cohomology.\nUsing the theory
of derived algebraic geometry\, we can work with the de Rham hypercohomol
ogy and show that it has a derived analog of an F-zip structure. We call t
hese structures derived F-zips. We can attach to any proper smooth morphis
m a derived F-zip and analyze families of proper smooth morphisms via thei
r underlying derived F-zip.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kürşat Sözer (McMaster University)
DTSTART;VALUE=DATE-TIME:20221206T140000Z
DTEND;VALUE=DATE-TIME:20221206T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/12
DESCRIPTION:Title: Crossed module graded categories and state-sum homotopy invarian
ts of maps\nby Kürşat Sözer (McMaster University) as part of Feza G
ursey Center for Physics and Mathematics Higher Structures Seminars\n\n\nA
bstract\nA well-known fact is that groups are algebraic models for 1-types
. Generalizing groups\, crossed modules model 2-types. In this talk\, I wi
ll introduce the notion of a crossed module graded fusion category which g
eneralizes that of a fusion category graded by a group. Then\,using such c
ategories\, I will construct a 3-dimensional state-sum homotopy quantum fi
eld theory (HQFT) with a 2-type target. Such an HQFT associates a scalar t
o a map from a closed oriented 3-manifold to the fixed 2-type. Moreover\,
this scalar is invariant under homotopies. This HQFT generalizes the state
-sum Turaev-Virelizier HQFT with an aspherical target. This is joint work
with Alexis Virelizier.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ödül Tetik (University of Zurich)
DTSTART;VALUE=DATE-TIME:20221220T140000Z
DTEND;VALUE=DATE-TIME:20221220T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/13
DESCRIPTION:Title: Field theory from [and] homology via [are] “duals”\nby
Ödül Tetik (University of Zurich) as part of Feza Gursey Center for Phys
ics and Mathematics Higher Structures Seminars\n\n\nAbstract\nI will intro
duce the notion of the 'Poincaré' or 'Koszul' dual of a stratified space
with tangential structure (TS)\, whose construction in general is as yet a
n open problem. Then I will outline (the finished part of) ongoing work on
defining a functorial field theory\, given\, as input\, a disk-algebra wi
th TS. This recovers the framed case\, which was proposed by Lurie (later
picked up by Calaque and Scheimbauer): duals of stably-framed bordisms are
euclidean spaces with flag-like stratifications. In particular\, this not
ion explains the 'shape' of the higher Morita category of En-algebras when
expressed in terms of factorization algebras\, and gives a natural defini
tion of Morita categories of disk-algebras with any TS. If time permits\,
I will propose a simple Poisson-structured version of this procedure which
should construct\, using Poisson additivity\, extended classical gauge th
eories given only the 1-shifted Poisson algebra of bulk observables.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kadri İlker Berktav (University of Zurich)
DTSTART;VALUE=DATE-TIME:20221025T113000Z
DTEND;VALUE=DATE-TIME:20221025T123000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/14
DESCRIPTION:Title: Geometric structures as stacks and geometric field theories\
nby Kadri İlker Berktav (University of Zurich) as part of Feza Gursey Cen
ter for Physics and Mathematics Higher Structures Seminars\n\n\nAbstract\n
In this talk\, we outline a general framework for geometric field theories
formulated by Ludewig and Stoffel. In brief\, functorial field theories (
FFTs) can be formalized as certain functors from an appropriate bordism ca
tegory Bord to a suitable target category. Atiyah's topological field the
ories and Segal's conformal field theories are the two important examples
of such formulation. Given an FFT\, one can also require the source catego
ry to endow with a ''geometric structure''. Of course\, the meaning of ''g
eometry'' must be clarified in this new context. To introduce geometric fi
eld theories in an appropriate way\, therefore\, we first explain how to d
efine ''geometries'' using the language of stacks\, and then we provide th
e so-called geometric bordism category GBord. Finally\, we give the defini
tion of a geometric field theory as a suitable functor on GBord.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neslihan Güğümcü (İzmir Institute of Technology)
DTSTART;VALUE=DATE-TIME:20230117T140000Z
DTEND;VALUE=DATE-TIME:20230117T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/15
DESCRIPTION:Title: On a quantum invariant of multi-knotoids\nby Neslihan Güğ
ümcü (İzmir Institute of Technology) as part of Feza Gursey Center for
Physics and Mathematics Higher Structures Seminars\n\n\nAbstract\nKnotoids
are immersed arcs in surfaces\, introduced by Vladimir Turaev.\nKnotoids
in the 2-sphere can be considered as open knot diagrams with\ntwo endpoint
s that can lie anywhere in S2. In this sense\, the theory of\nspherical kn
otoids extends the theory of knots in the Euclidean 3-space\,\nand the cla
ssification problem of knots generalizes to knotoids in an\ninteresting wa
y with the existence of open ends. In this talk we will\npresent multi-kno
toids and an Alexander polynomial type invariant for\nthem by utilizing a
partition function involving a solution of the\nYang-Baxter equation. This
talk is a joint work with Louis Kauffman.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Roberts (University of Adelaide)
DTSTART;VALUE=DATE-TIME:20230131T070000Z
DTEND;VALUE=DATE-TIME:20230131T080000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/16
DESCRIPTION:Title: Low-dimensional higher geometry: a case study\nby David Robe
rts (University of Adelaide) as part of Feza Gursey Center for Physics and
Mathematics Higher Structures Seminars\n\n\nAbstract\nConsiderations from
several different areas of mathematics have prompted\nthe development of
so- called higher geometry: the study of categorified\nanalogues of geomet
ric structures. Despite being studied for nearly two\ndecades\, few exampl
es that capture non-abelian phenomena have been\nconstructed. And here by
"constructed"\, we mean to the level that would\nsatisfy traditional diffe
rential geometers\, as opposed to the kind of\nconstruction that category
theorists are comfortable with.\nTo this end\, I will describe a new frame
work to work with bundle\n2-gerbes\, which from a higher- category point o
f view are certain types\nof truncated descent data for $\\infty$-stacks o
n a manifold. The\ndescription is sufficient to undertake concrete computa
tions more\nsatisfying to traditional differential geometers and mathemati
cal\nphysicists. I also describe explicit geometric examples that can be\n
constructed using our framework\, including infinite families of explicit\
ngeometric string structures.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julia Plavnik (Indiana University\, Bloomington)
DTSTART;VALUE=DATE-TIME:20230228T140000Z
DTEND;VALUE=DATE-TIME:20230228T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/17
DESCRIPTION:by Julia Plavnik (Indiana University\, Bloomington) as part of
Feza Gursey Center for Physics and Mathematics Higher Structures Seminars
\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olivia Caramello (Institut des Hautes Études Scientifiques)
DTSTART;VALUE=DATE-TIME:20230314T140000Z
DTEND;VALUE=DATE-TIME:20230314T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/18
DESCRIPTION:Title: Gröthendieck toposes as unifying “bridges” in mathematics.<
/a>\nby Olivia Caramello (Institut des Hautes Études Scientifiques) as pa
rt of Feza Gursey Center for Physics and Mathematics Higher Structures Sem
inars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theo Johnson-Freyd (Perimeter Institute for Theoretical Physics)
DTSTART;VALUE=DATE-TIME:20230425T140000Z
DTEND;VALUE=DATE-TIME:20230425T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/19
DESCRIPTION:by Theo Johnson-Freyd (Perimeter Institute for Theoretical Phy
sics) as part of Feza Gursey Center for Physics and Mathematics Higher Str
uctures Seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudia Scheimbauer (Technische Universität München)
DTSTART;VALUE=DATE-TIME:20230509T140000Z
DTEND;VALUE=DATE-TIME:20230509T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/20
DESCRIPTION:by Claudia Scheimbauer (Technische Universität München) as p
art of Feza Gursey Center for Physics and Mathematics Higher Structures Se
minars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emre Özel (Eskişehir Osmangazi University)
DTSTART;VALUE=DATE-TIME:20230523T140000Z
DTEND;VALUE=DATE-TIME:20230523T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/21
DESCRIPTION:by Emre Özel (Eskişehir Osmangazi University) as part of Fez
a Gursey Center for Physics and Mathematics Higher Structures Seminars\n\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:K. İlhan İkeda (Feza Gürsey Center for Physics and Mathematics)
DTSTART;VALUE=DATE-TIME:20230606T140000Z
DTEND;VALUE=DATE-TIME:20230606T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/22
DESCRIPTION:by K. İlhan İkeda (Feza Gürsey Center for Physics and Mathe
matics) as part of Feza Gursey Center for Physics and Mathematics Higher S
tructures Seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Redi Haderi (Bilkent University)
DTSTART;VALUE=DATE-TIME:20230328T140000Z
DTEND;VALUE=DATE-TIME:20230328T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/23
DESCRIPTION:by Redi Haderi (Bilkent University) as part of Feza Gursey Cen
ter for Physics and Mathematics Higher Structures Seminars\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Barış Kartal (University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20230214T140000Z
DTEND;VALUE=DATE-TIME:20230214T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T071655Z
UID:FezaGurseyHigher/24
DESCRIPTION:Title: Frobenius operators in symplectic topology\nby Yusuf Barış
Kartal (University of Edinburgh) as part of Feza Gursey Center for Physic
s and Mathematics Higher Structures Seminars\n\n\nAbstract\nOne can define
the Frobenius operator on a commutative ring of characteristic p as the p
th power operation\, and this has generalizations to a larger class of co
mmutative rings\, and even to topological spaces and spectra. Spectra with
circle actions and Frobenius operators are called cyclotomic spectra. The
simplest example is the free loop space\, and important examples arise in
algebraic and arithmetic geometry as topological Hochschild homology of r
ings and categories. By topological reasons and mirror symmetry\, it is na
tural to expect such a structure to arise in symplectic topology-- more pr
ecisely in ``closed string Floer theory''. In this talk\, we will explain
how to construct such spectra using Hamiltonian Floer theory\, i.e. by usi
ng holomorphic cylinders in symplectic manifolds. Joint work in progress w
ith Laurent Cote.\n
LOCATION:https://researchseminars.org/talk/FezaGurseyHigher/24/
END:VEVENT
END:VCALENDAR