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BEGIN:VEVENT
SUMMARY:Sergei Gukov (California Institute of Technology)
DTSTART:20211101T143000Z
DTEND:20211101T152000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/1
DESCRIPTION:by Sergei Gukov (California Institute of Technology) as part o
f BIRS workshop: Quantum Field Theories and Quantum Topology Beyond Semisi
mplicity\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Costantino (Toulouse University)
DTSTART:20211101T153000Z
DTEND:20211101T162000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/2
DESCRIPTION:Title: Conjectural relations on sl2 non-semisimple invariants and BPS series
\nby Francesco Costantino (Toulouse University) as part of BIRS worksh
op: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\n\n\
nAbstract\nIn this talk I will report on a recent collaboration joint with
Sergei Gukov and Pavel Putrov exploring some new relations between the no
n-semisimple invariants associated to the unrolled version of quantum $sl_
2$ at roots of unity and the BPS series invariants.\nI will first consider
the case of knots in the sphere and describe the conjectures on ADO polyn
omials and BPS series. Then I will pass to the case of invariants of close
d three manifolds and describe a conjectural relation we detailed in our p
aper and which we proved to hold in some infinite family of cases.\nIn the
last part of the talk I will speculate on an extension of these conjectur
es on the level of the associated TQFTs and describe some ideas to implem
ent this.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Wood (Cardiff University)
DTSTART:20211101T170000Z
DTEND:20211101T175000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/3
DESCRIPTION:Title: Grothendieck-Verdier duality in categories of VOA modules with exampl
es\nby Simon Wood (Cardiff University) as part of BIRS workshop: Quant
um Field Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract
\nArguably one of the most difficult steps in Huang's proof of\nthe Verlin
de conjecture was proving rigidity. One indicator of why this\nis a specia
l (hard to verify) property is that already within the class\nof c_2-cofin
ite yet non-semisimple theories there are known counter\nexamples to rigid
ity. In this talk I will present a weaker yet more\ntractable form of dual
ity\, which was recently shown to apply to\ncategories of VOA modules sati
sfying mild assumptions. For concreteness\,\nI will then illustrate this s
tructure using Heisenberg and lattice VOAs\n(aka free bosons).\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Drazen Adamovic (University of Zagreb\, Faculty of Science\,)
DTSTART:20211101T190000Z
DTEND:20211101T195000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/4
DESCRIPTION:Title: On indecomposable and logarithmic modules for affine vertex algebras<
/a>\nby Drazen Adamovic (University of Zagreb\, Faculty of Science\,) as p
art of BIRS workshop: Quantum Field Theories and Quantum Topology Beyond S
emisimplicity\n\n\nAbstract\nIn this talk we will be focused on non-semisi
mple categories of modules for affine vertex (super)algebras. If $g$ is
a\nLie algebra\, then the affine vertex algebra $L_k(g)$ admits non-semisi
mple modules only beyond the category $KL_k$. But if $g$ is a\nLie superal
gebra\, even the category $KL_k$ can contain indecomposable modules.\n\nWe
will first review certain general methods of constructing logarithmic (pr
ojective) modules. Then we will show how these methods\ncan be applied on
affine vertex algebras by using recent free field realizations\, which are
motivated by finding inverses of the\nQuantum Hamiltonian Reductions. We
will present new realizations of logarithmic modules of nilpotent rank thr
ee for affine vertex\nalgebra $L_k(sl_3)$ at (almost) arbitrary non-integr
al level $k$. (This part of the talk is a joint work with T. Creutzig and
N.\nGenra).\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Ridout (University of Melbourne)
DTSTART:20211101T200000Z
DTEND:20211101T205000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/5
DESCRIPTION:Title: Relaxed modules and logarithmic CFT\nby David Ridout (University
of Melbourne) as part of BIRS workshop: Quantum Field Theories and Quantum
Topology Beyond Semisimplicity\n\n\nAbstract\nThe paradigm of rational (o
r log-rational) conformal field\ntheory is intimately entwined with highes
t-weight theory for the\nassociated vertex operator algebras. However\, t
here are many natural\nexamples of VOAs for which the consistency conditio
ns of CFT require one\nto look beyond the highest-weight module category.
I will review some\nrecent work on examples\, including the admissible-le
vel affine VOAs of\n$\\mathfrak{sl}_2$\, and describe the central role pla
yed by the so-called\nrelaxed highest-weight modules.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomoyuki Arakawa (RIMS\, Kyoto University)
DTSTART:20211102T140000Z
DTEND:20211102T145000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/6
DESCRIPTION:by Tomoyuki Arakawa (RIMS\, Kyoto University) as part of BIRS
workshop: Quantum Field Theories and Quantum Topology Beyond Semisimplicit
y\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boris Feigin (Higher School of Economics - Moscow)
DTSTART:20211102T150000Z
DTEND:20211102T155000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/7
DESCRIPTION:Title: Vertex algebras "with big center"\, logarithmic theories and bundles
of vertex algebras\nby Boris Feigin (Higher School of Economics - Mosc
ow) as part of BIRS workshop: Quantum Field Theories and Quantum Topology
Beyond Semisimplicity\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rinat Kashaev (Universite de Geneve)
DTSTART:20211102T163000Z
DTEND:20211102T172000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/8
DESCRIPTION:Title: The Alexander polynomial as a universal invariant\nby Rinat Kasha
ev (Universite de Geneve) as part of BIRS workshop: Quantum Field Theories
and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nI will explain
how the reciprocal of the Alexander polynomial of a knot can be viewed as
a universal quantum invariant associated to the Hopf algebra of regular fu
nctions on the group of affine linear transformations of the complex plane
. This is consistent with the Melvin--Morton--Rozansky conjecture proven b
y Bar-Nathan and Garoufalidis about the relation of the colored Jones poly
nomials to the reciprocal of the Alexander polynomial.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miroslav Rapcak (UC Berkeley)
DTSTART:20211102T173000Z
DTEND:20211102T182000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/9
DESCRIPTION:Title: W∞ modules and melted crystals of DT and PT\nby Miroslav Rapcak
(UC Berkeley) as part of BIRS workshop: Quantum Field Theories and Quantu
m Topology Beyond Semisimplicity\n\n\nAbstract\n$W_\\infty$ algebra is a v
ertex operator algebra extending the Virasoro algebra\nby fields of spin $
3\,4\,\\dots$. It is known to admit a nice class of modules\nlabelled by a
triple of partitions. $W_\\infty$ is also known to admit an\nalternative
description in terms of the affine Yangian of $gl_1$ admitting a\nvery c
oncrete definition of such modules. As we will see in this talk\, utilizin
g\nthe charge-conjugation automorphism of $W_\\infinity$ in the language o
f the\naffine Yangian leads to a new class of affine Yangian modules with
\nnon-diagonalizable action of Cartan generators and striking connection w
ith\nPandharipande-Thomas invariants.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Blanchet (Universite de Paris)
DTSTART:20211102T193000Z
DTEND:20211102T203000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/10
DESCRIPTION:Title: Discussion session: renormalized invariants and TQFT beyond semisimp
licity\nby Christian Blanchet (Universite de Paris) as part of BIRS wo
rkshop: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\
n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolai Resheth (University of California at Berkeley and Tsinghua
University\, Beijing)
DTSTART:20211103T140000Z
DTEND:20211103T145000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/11
DESCRIPTION:by Nicolai Resheth (University of California at Berkeley and T
singhua University\, Beijing) as part of BIRS workshop: Quantum Field Theo
ries and Quantum Topology Beyond Semisimplicity\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jürgen Fuchs (Karlstad University)
DTSTART:20211103T150000Z
DTEND:20211103T155000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/12
DESCRIPTION:Title: Bulk from boundary in finite conformal field theory\nby Jürgen
Fuchs (Karlstad University) as part of BIRS workshop: Quantum Field Theori
es and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nWe show that
pivotal module categories provide a source of symmetric\n Frobenius alge
bras. These are natural candidates for the bulk and\n boundary algebras
in full conformal field theories for which the\n chiral data are encoded
in a modular finite tensor category $\\mathcal C$. The\n bulk algebra\,
as well as more general defect fields\, can be expressed\n as certain c
oends. The structural morphisms of these coends give\n in particular a b
ulk-boundary map\, whereby the whole field content\n of the CFT can be r
econstructed from the boundary fields. Moreover\,\n there are natural ca
ndidates for operator products of bulk (as well as\n defect) fields\, wh
ich pass various consistency conditions\, including\n all genus-zero con
straints in Lewellen's list.\n In the special case of rational conformal
field theories\, for which $\\mathcal C$\n is semisimple\, the conjectu
red expressions reproduce known results.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Palmer-Anghel (Université de Genève)
DTSTART:20211103T163000Z
DTEND:20211103T172000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/13
DESCRIPTION:Title: Coloured Jones and coloured Alexander polynomials unified by a grade
d Lagrangian intersection\nby Cristina Palmer-Anghel (Université de G
enève) as part of BIRS workshop: Quantum Field Theories and Quantum Topol
ogy Beyond Semisimplicity\n\n\nAbstract\nThe theory of quantum invariants
started with the Jones polynomial and continued with the Reshetikhin-Turae
v algebraic construction of invariants. In this\ncontext\, the quantum gro
up $U_q(sl(2))$ leads to the sequence of coloured Jones polynomials\, and
the same quantum group at roots of unity gives the coloured Alexander poly
nomials.\n\nWe construct a unified topological model for these two sequenc
es of quantum invariants. \nMore specifically\, we define certain homology
classes given by Lagrangian\nsubmanifolds in configuration spaces. Then\,
we prove that the $N^{th}$ coloured Jones\nand $N^{th}$ coloured Alexande
r invariants come as different specialisations of a {\\em state\nsum (defi
ned over 3 variables) of Lagrangian intersections in configuration spaces.
}\nAs a particular case\, we see both Jones and Alexander polynomials from
the same\nintersection pairing in a configuration space.\n\nSecondly\, we
present a {\\em globalised model without state sums} from recent work. We
\nshow that one can read o both coloured Jones and coloured Alexander p
olynomials of colour $N$ \nfrom a {\\em graded intersection between two ex
plicit Lagrangians in a\nsymmetric power} of the punctured disk.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Beliakova (niversity of Zurich)
DTSTART:20211103T173000Z
DTEND:20211103T182000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/14
DESCRIPTION:Title: 4-manifold invariants from unimodular ribbon categories\nby Anna
Beliakova (niversity of Zurich) as part of BIRS workshop: Quantum Field T
heories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nIn this
talk we explain our recent construction of\nquantum invariants of smooth
4-dimensional 2-handlebodies (i.e. 4-balls with finitely many 1- and\n2-
handles attached) \nbased on a (possibly non-semisimple) unimodular r
ibbon category C. \nWhenever C is factorizable\, the underlying invaria
nt only depends on the boundary and signature of\nthe 4-dimensional 2-han
dlebody. \nOn the other hand\, in the example provided by the category of
finite-dimensional representations of\nthe small quantum sl2 at a root o
f unity q of order r ≡ 0 mod 8\, \nour invariant does depend on the int
erior of the handlebody\,\nand it might even be useful to resolve a deep o
pen problem in combinatorial group theory known as\nAndrews–Curtis conje
cture. This is a joint work with Marco De Renzi.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joerg Teschner (University of Hamburg and DESY)
DTSTART:20211103T193000Z
DTEND:20211103T203000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/15
DESCRIPTION:Title: Discussion session: interplay of QFT and quantum topology\nby Jo
erg Teschner (University of Hamburg and DESY) as part of BIRS workshop: Qu
antum Field Theories and Quantum Topology Beyond Semisimplicity\n\nAbstrac
t: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tudor Dimofte (University of Edinburgh\, on leave from University
of California Davis)
DTSTART:20211104T140000Z
DTEND:20211104T145000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/16
DESCRIPTION:by Tudor Dimofte (University of Edinburgh\, on leave from Univ
ersity of California Davis) as part of BIRS workshop: Quantum Field Theori
es and Quantum Topology Beyond Semisimplicity\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Lentner (University of Hamburg)
DTSTART:20211104T150000Z
DTEND:20211104T154000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/17
DESCRIPTION:by Simon Lentner (University of Hamburg) as part of BIRS works
hop: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\n\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Rupert (Utah State University)
DTSTART:20211104T154500Z
DTEND:20211104T162500Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/18
DESCRIPTION:by Matthew Rupert (Utah State University) as part of BIRS work
shop: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Azat Gainutdinov (CNRS\, Universite de Tours)
DTSTART:20211104T170000Z
DTEND:20211104T174000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/19
DESCRIPTION:Title: Non-semisimple TQFT and mapping class group actions\nby Azat Gai
nutdinov (CNRS\, Universite de Tours) as part of BIRS workshop: Quantum Fi
eld Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nThe
famous Reshetikhin-Turaev-Witten construction of 3d Topological QFTs\nhas
as an input data a modular tensor category that is assumed to be\nsemi-si
mple. In middle of 90's Lyubashenko has proposed a reasonable\nnon-semisim
ple version of modular tensor categories and it was later\nshown that they
produce mapping class group representations with new\nfeatures not presen
t in the RTW construction\, e.g. infinite order of\nDehn twists action. Ma
ny important examples of such categories come from\ntwo-dimensional Logari
thmic Conformal Field Theories and as\nrepresentation categories of small
quantum groups. However\, a proper\nTQFT construction for Lyubashenko's th
eory was missing. In this talk\, I\nwill show that our non-semisimple TQFT
(from Ingo’s talk) provides\nmapping class group representations that (
projectively) agree with those\ndefined by Lyubashenko. This is a joint wo
rk with M. De Renzi\, N. Geer\,\nB. Patureau-Mirand\, and I. Runkel.\nI wi
ll further present very recent results on actions of another\nfundamental
group\, the group of ribbon auto-equivalences of the input\nmodular catego
ry. In the non-semisimple case\, these groups are typically\nnon-discrete\
, e.g. Lie groups. In an ongoing project with M. De Renzi\nand I. Runkel\,
we have shown that their action on TQFT spaces commutes\nwith the action
of the mapping class groups.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingo Runkel (U Hamburg)
DTSTART:20211104T174500Z
DTEND:20211104T182500Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/20
DESCRIPTION:Title: Non-semisimple TQFT and manifold invariants\nby Ingo Runkel (U H
amburg) as part of BIRS workshop: Quantum Field Theories and Quantum Topol
ogy Beyond Semisimplicity\n\n\nAbstract\nIn this talk I will describe thre
e-manifold invariants defined via\nsurgery presentations and show that in
certain cases one obtains a TQFT\nvia the universal construction. The alge
braic input is a possibly\nnon-semisimple ribbon category together with a
modified trace on a\ntensor ideal. We will see in examples how the invaria
nts can pick up\ndifferent properties of the ribbon category as one varies
the tensor\nideal. If the ribbon category is modular and the ideal is tha
t of\nprojective objects\, the universal construction defines a TQFT on\ns
o-called admissible bordisms. If the input category is in addition\nsemisi
mple\, this produces the Reshetikhin-Turaev TQFT.\n\nThis is joint work wi
th J. Berger\, M. De Renzi\, A. Gainutdinov\, N. Geer\,\nand B. Patureau-M
irand\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert McRae (Tsinghua University)
DTSTART:20211105T140000Z
DTEND:20211105T145000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/21
DESCRIPTION:Title: Obtaining non-semisimple modular tensor categories from vertex opera
tor algebras\nby Robert McRae (Tsinghua University) as part of BIRS wo
rkshop: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\
n\n\nAbstract\nOne of the most important results in vertex operator algebr
as is Huang's theorem that if the module category of a vertex operator alg
ebra satisfying $C_2$-cofiniteness (plus a few relatively minor conditions
) is semisimple\, then it is a semisimple modular tensor category. Huang a
lso showed that the module category of any $\\mathbb{N}$-graded $C_2$-cofi
nite vertex operator algebra $V$ is at least a braided tensor category. In
this talk\, I will discuss my recent result that if this tensor category
of $V$-modules is rigid\, with duals given by contragredient modules\, the
n its braiding is non-degenerate\, that is\, $V$-modules form a not-necess
arily-semisimple modular tensor category. I will also discuss the prospect
s of proving rigidity for the $V$-module category in general\, as well as
the possibility that rigidity is preserved under vertex operator algebra c
onstructions that are known to preserve $C_2$-cofiniteness\, such as tenso
r products\, extensions\, and finite solvable orbifolds. This leads potent
ially to many non-semisimple modular tensor categories obtained via standa
rd constructions applied to the triplet vertex operator algebras $\\mathca
l{W}(p)$\, $p\\in\\mathbb{Z}_{\\geq 2}$.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antun Milas (State University of New York at Albany)
DTSTART:20211105T163000Z
DTEND:20211105T172000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/22
DESCRIPTION:Title: Characters of vertex algebras and Schur indices\nby Antun Milas
(State University of New York at Albany) as part of BIRS workshop: Quantum
Field Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\n
I'll discuss various properties of characters of several types of rational
and non-rational vertex algebras. These characters in some cases agree wi
th Schur indices of certain Argyres-Douglas theories and with Z-hat invari
ants of plumbed 3-manifolds. We will also discuss so called graph schemes
and associated graph series. A new link between graph schemes and multiple
zeta values will be presented.\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Du Pei (Harvard University)
DTSTART:20211105T173000Z
DTEND:20211105T182000Z
DTSTAMP:20260422T185239Z
UID:BIRS-21w5121/23
DESCRIPTION:by Du Pei (Harvard University) as part of BIRS workshop: Quant
um Field Theories and Quantum Topology Beyond Semisimplicity\n\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/BIRS-21w5121/23/
END:VEVENT
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