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BEGIN:VEVENT
SUMMARY:Sergei Gukov (California Institute of Technology)
DTSTART:20211101T143000Z
DTEND:20211101T152000Z
DTSTAMP:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Costantino (Toulouse University)
DTSTART:20211101T153000Z
DTEND:20211101T162000Z
DTSTAMP:20260404T060946Z
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
workshop: Quantum Field Theories and Quantum Topology Beyond Semisimplici
ty\n\n\nAbstract\nIn this talk I will report on a recent collaboration joi
nt with Sergei Gukov and Pavel Putrov exploring some new relations between
the non-semisimple invariants associated to the unrolled version of quant
um $sl_2$ at roots of unity and the BPS series invariants.\nI will first c
onsider the case of knots in the sphere and describe the conjectures on AD
O polynomials and BPS series. Then I will pass to the case of invariants o
f closed three manifolds and describe a conjectural relation we detailed i
n our paper 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 co
njectures on the level of the associated TQFTs and describe some ideas to
implement this.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Wood (Cardiff University)
DTSTART:20211101T170000Z
DTEND:20211101T175000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/3
DESCRIPTION:Title: Grothendieck-Verdier duality in categories of VOA modules with
examples\nby Simon Wood (Cardiff University) as part of BIRS workshop
: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\n\n\nA
bstract\nArguably one of the most difficult steps in Huang's proof of\nthe
Verlinde conjecture was proving rigidity. One indicator of why this\nis a
special (hard to verify) property is that already within the class\nof c_
2-cofinite yet non-semisimple theories there are known counter\nexamples t
o rigidity. In this talk I will present a weaker yet more\ntractable form
of duality\, which was recently shown to apply to\ncategories of VOA modul
es satisfying mild assumptions. For concreteness\,\nI will then illustrate
this structure using Heisenberg and lattice VOAs\n(aka free bosons).\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Drazen Adamovic (University of Zagreb\, Faculty of Science\,)
DTSTART:20211101T190000Z
DTEND:20211101T195000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/4
DESCRIPTION:Title: On indecomposable and logarithmic modules for affine vertex al
gebras\nby Drazen Adamovic (University of Zagreb\, Faculty of Science\
,) as part of BIRS workshop: Quantum Field Theories and Quantum Topology B
eyond Semisimplicity\n\n\nAbstract\nIn this talk we will be focused on non
-semisimple categories of modules for affine vertex (super)algebras. If
$g$ is a\nLie algebra\, then the affine vertex algebra $L_k(g)$ admits non
-semisimple modules only beyond the category $KL_k$. But if $g$ is a\nLie
superalgebra\, even the category $KL_k$ can contain indecomposable modules
.\n\nWe will first review certain general methods of constructing logarith
mic (projective) modules. Then we will show how these methods\ncan be appl
ied on affine vertex algebras by using recent free field realizations\, wh
ich are motivated by finding inverses of the\nQuantum Hamiltonian Reductio
ns. We will present new realizations of logarithmic modules of nilpotent r
ank three for affine vertex\nalgebra $L_k(sl_3)$ at (almost) arbitrary non
-integral level $k$. (This part of the talk is a joint work with T. Creutz
ig and N.\nGenra).\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Ridout (University of Melbourne)
DTSTART:20211101T200000Z
DTEND:20211101T205000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/5
DESCRIPTION:Title: Relaxed modules and logarithmic CFT\nby David Ridout (Univ
ersity of Melbourne) as part of BIRS workshop: Quantum Field Theories and
Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nThe paradigm of rati
onal (or log-rational) conformal field\ntheory is intimately entwined with
highest-weight theory for the\nassociated vertex operator algebras. Howe
ver\, there are many natural\nexamples of VOAs for which the consistency c
onditions of CFT require one\nto look beyond the highest-weight module cat
egory. I will review some\nrecent work on examples\, including the admiss
ible-level affine VOAs of\n$\\mathfrak{sl}_2$\, and describe the central r
ole played by the so-called\nrelaxed highest-weight modules.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomoyuki Arakawa (RIMS\, Kyoto University)
DTSTART:20211102T140000Z
DTEND:20211102T145000Z
DTSTAMP:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boris Feigin (Higher School of Economics - Moscow)
DTSTART:20211102T150000Z
DTEND:20211102T155000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/7
DESCRIPTION:Title: Vertex algebras "with big center"\, logarithmic theories and b
undles of vertex algebras\nby Boris Feigin (Higher School of Economics
- Moscow) as part of BIRS workshop: Quantum Field Theories and Quantum To
pology Beyond Semisimplicity\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rinat Kashaev (Universite de Geneve)
DTSTART:20211102T163000Z
DTEND:20211102T172000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/8
DESCRIPTION:Title: The Alexander polynomial as a universal invariant\nby Rina
t Kashaev (Universite de Geneve) as part of BIRS workshop: Quantum Field T
heories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nI will e
xplain how the reciprocal of the Alexander polynomial of a knot can be vie
wed as a universal quantum invariant associated to the Hopf algebra of reg
ular functions on the group of affine linear transformations of the comple
x plane. This is consistent with the Melvin--Morton--Rozansky conjecture p
roven by Bar-Nathan and Garoufalidis about the relation of the colored Jon
es polynomials to the reciprocal of the Alexander polynomial.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miroslav Rapcak (UC Berkeley)
DTSTART:20211102T173000Z
DTEND:20211102T182000Z
DTSTAMP:20260404T060946Z
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
Quantum Topology Beyond Semisimplicity\n\n\nAbstract\n$W_\\infty$ algebra
is a vertex operator algebra extending the Virasoro algebra\nby fields of
spin $3\,4\,\\dots$. It is known to admit a nice class of modules\nlabell
ed by a triple of partitions. $W_\\infty$ is also known to admit an\nalte
rnative description in terms of the affine Yangian of $gl_1$ admitting a\n
very concrete definition of such modules. As we will see in this talk\, u
tilizing\nthe charge-conjugation automorphism of $W_\\infinity$ in the lan
guage of the\naffine Yangian leads to a new class of affine Yangian modul
es with\nnon-diagonalizable action of Cartan generators and striking conne
ction with\nPandharipande-Thomas invariants.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Blanchet (Universite de Paris)
DTSTART:20211102T193000Z
DTEND:20211102T203000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/10
DESCRIPTION:Title: Discussion session: renormalized invariants and TQFT beyond s
emisimplicity\nby Christian Blanchet (Universite de Paris) as part of
BIRS workshop: Quantum Field Theories and Quantum Topology Beyond Semisimp
licity\n\nAbstract: TBA\n
LOCATION:https://stable.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:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jürgen Fuchs (Karlstad University)
DTSTART:20211103T150000Z
DTEND:20211103T155000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/12
DESCRIPTION:Title: Bulk from boundary in finite conformal field theory\nby J
ürgen Fuchs (Karlstad University) as part of BIRS workshop: Quantum Field
Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nWe sho
w that pivotal module categories provide a source of symmetric\n Frobeni
us algebras. These are natural candidates for the bulk and\n boundary al
gebras in full conformal field theories for which the\n chiral data are
encoded in a modular finite tensor category $\\mathcal C$. The\n bulk al
gebra\, as well as more general defect fields\, can be expressed\n as ce
rtain coends. The structural morphisms of these coends give\n in particu
lar a bulk-boundary map\, whereby the whole field content\n of the CFT c
an be reconstructed from the boundary fields. Moreover\,\n there are nat
ural candidates for operator products of bulk (as well as\n defect) fiel
ds\, which pass various consistency conditions\, including\n all genus-z
ero constraints in Lewellen's list.\n In the special case of rational co
nformal field theories\, for which $\\mathcal C$\n is semisimple\, the c
onjectured expressions reproduce known results.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Palmer-Anghel (Université de Genève)
DTSTART:20211103T163000Z
DTEND:20211103T172000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/13
DESCRIPTION:Title: Coloured Jones and coloured Alexander polynomials unified by
a graded Lagrangian intersection\nby Cristina Palmer-Anghel (Universit
é de Genève) as part of BIRS workshop: Quantum Field Theories and Quantu
m Topology Beyond Semisimplicity\n\n\nAbstract\nThe theory of quantum inva
riants started with the Jones polynomial and continued with the Reshetikhi
n-Turaev algebraic construction of invariants. In this\ncontext\, the quan
tum group $U_q(sl(2))$ leads to the sequence of coloured Jones polynomials
\, and the same quantum group at roots of unity gives the coloured Alexand
er polynomials.\n\nWe construct a unified topological model for these two
sequences of quantum invariants. \nMore specifically\, we define certain h
omology classes given by Lagrangian\nsubmanifolds in configuration spaces.
Then\, we prove that the $N^{th}$ coloured Jones\nand $N^{th}$ coloured A
lexander invariants come as different specialisations of a {\\em state\nsu
m (defined over 3 variables) of Lagrangian intersections in configuration
spaces.}\nAs a particular case\, we see both Jones and Alexander polynomia
ls from the same\nintersection pairing in a configuration space.\n\nSecond
ly\, we present a {\\em globalised model without state sums} from recent w
ork. We\nshow that one can read o both coloured Jones and coloured Alex
ander polynomials of colour $N$ \nfrom a {\\em graded intersection between
two explicit Lagrangians in a\nsymmetric power} of the punctured disk.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Beliakova (niversity of Zurich)
DTSTART:20211103T173000Z
DTEND:20211103T182000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/14
DESCRIPTION:Title: 4-manifold invariants from unimodular ribbon categories\n
by Anna Beliakova (niversity of Zurich) as part of BIRS workshop: Quantum
Field Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstract\nI
n this talk we explain our recent construction of\nquantum invariants of
smooth 4-dimensional 2-handlebodies (i.e. 4-balls with finitely many 1- a
nd\n2-handles attached) \nbased on a (possibly non-semisimple) unimodu
lar ribbon category C. \nWhenever C is factorizable\, the underlying i
nvariant only depends on the boundary and signature of\nthe 4-dimensional
2-handlebody. \nOn the other hand\, in the example provided by the categ
ory of finite-dimensional representations of\nthe small quantum sl2 at a
root of unity q of order r ≡ 0 mod 8\, \nour invariant does depend on t
he interior of the handlebody\,\nand it might even be useful to resolve a
deep open problem in combinatorial group theory known as\nAndrews–Curtis
conjecture. This is a joint work with Marco De Renzi.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joerg Teschner (University of Hamburg and DESY)
DTSTART:20211103T193000Z
DTEND:20211103T203000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/15
DESCRIPTION:Title: Discussion session: interplay of QFT and quantum topology
\nby Joerg Teschner (University of Hamburg and DESY) as part of BIRS works
hop: Quantum Field Theories and Quantum Topology Beyond Semisimplicity\n\n
Abstract: TBA\n
LOCATION:https://stable.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:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Lentner (University of Hamburg)
DTSTART:20211104T150000Z
DTEND:20211104T154000Z
DTSTAMP:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Rupert (Utah State University)
DTSTART:20211104T154500Z
DTEND:20211104T162500Z
DTSTAMP:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Azat Gainutdinov (CNRS\, Universite de Tours)
DTSTART:20211104T170000Z
DTEND:20211104T174000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/19
DESCRIPTION:Title: Non-semisimple TQFT and mapping class group actions\nby A
zat Gainutdinov (CNRS\, Universite de Tours) as part of BIRS workshop: Qua
ntum Field Theories and Quantum Topology Beyond Semisimplicity\n\n\nAbstra
ct\nThe famous Reshetikhin-Turaev-Witten construction of 3d Topological QF
Ts\nhas as an input data a modular tensor category that is assumed to be\n
semi-simple. In middle of 90's Lyubashenko has proposed a reasonable\nnon-
semisimple version of modular tensor categories and it was later\nshown th
at they produce mapping class group representations with new\nfeatures not
present in the RTW construction\, e.g. infinite order of\nDehn twists act
ion. Many important examples of such categories come from\ntwo-dimensional
Logarithmic Conformal Field Theories and as\nrepresentation categories of
small quantum groups. However\, a proper\nTQFT construction for Lyubashen
ko's theory was missing. In this talk\, I\nwill show that our non-semisimp
le TQFT (from Ingo’s talk) provides\nmapping class group representations
that (projectively) agree with those\ndefined by Lyubashenko. This is a j
oint work with M. De Renzi\, N. Geer\,\nB. Patureau-Mirand\, and I. Runkel
.\nI will further present very recent results on actions of another\nfunda
mental group\, the group of ribbon auto-equivalences of the input\nmodular
category. In the non-semisimple case\, these groups are typically\nnon-di
screte\, e.g. Lie groups. In an ongoing project with M. De Renzi\nand I. R
unkel\, we have shown that their action on TQFT spaces commutes\nwith the
action of the mapping class groups.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ingo Runkel (U Hamburg)
DTSTART:20211104T174500Z
DTEND:20211104T182500Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/20
DESCRIPTION:Title: Non-semisimple TQFT and manifold invariants\nby Ingo Runk
el (U Hamburg) as part of BIRS workshop: Quantum Field Theories and Quantu
m Topology Beyond Semisimplicity\n\n\nAbstract\nIn this talk I will descri
be three-manifold invariants defined via\nsurgery presentations and show t
hat in certain cases one obtains a TQFT\nvia the universal construction. T
he algebraic input is a possibly\nnon-semisimple ribbon category together
with a modified trace on a\ntensor ideal. We will see in examples how the
invariants 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 that of\nprojective objects\, the universal construction defines a TQF
T on\nso-called admissible bordisms. If the input category is in addition\
nsemisimple\, this produces the Reshetikhin-Turaev TQFT.\n\nThis is joint
work with J. Berger\, M. De Renzi\, A. Gainutdinov\, N. Geer\,\nand B. Pat
ureau-Mirand\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert McRae (Tsinghua University)
DTSTART:20211105T140000Z
DTEND:20211105T145000Z
DTSTAMP:20260404T060946Z
UID:BIRS-21w5121/21
DESCRIPTION:Title: Obtaining non-semisimple modular tensor categories from verte
x operator algebras\nby Robert McRae (Tsinghua University) as part of
BIRS workshop: Quantum Field Theories and Quantum Topology Beyond Semisimp
licity\n\n\nAbstract\nOne of the most important results in vertex operator
algebras is Huang's theorem that if the module category of a vertex opera
tor algebra satisfying $C_2$-cofiniteness (plus a few relatively minor con
ditions) is semisimple\, then it is a semisimple modular tensor category.
Huang also showed that the module category of any $\\mathbb{N}$-graded $C_
2$-cofinite vertex operator algebra $V$ is at least a braided tensor categ
ory. In this talk\, I will discuss my recent result that if this tensor ca
tegory of $V$-modules is rigid\, with duals given by contragredient module
s\, then its braiding is non-degenerate\, that is\, $V$-modules form a not
-necessarily-semisimple modular tensor category. I will also discuss the p
rospects of proving rigidity for the $V$-module category in general\, as w
ell as the possibility that rigidity is preserved under vertex operator al
gebra constructions that are known to preserve $C_2$-cofiniteness\, such a
s tensor products\, extensions\, and finite solvable orbifolds. This leads
potentially to many non-semisimple modular tensor categories obtained via
standard constructions applied to the triplet vertex operator algebras $\
\mathcal{W}(p)$\, $p\\in\\mathbb{Z}_{\\geq 2}$.\n
LOCATION:https://stable.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:20260404T060946Z
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\nAbs
tract\nI'll discuss various properties of characters of several types of r
ational and non-rational vertex algebras. These characters in some cases a
gree with Schur indices of certain Argyres-Douglas theories and with Z-hat
invariants of plumbed 3-manifolds. We will also discuss so called graph s
chemes and associated graph series. A new link between graph schemes and m
ultiple zeta values will be presented.\n
LOCATION:https://stable.researchseminars.org/talk/BIRS-21w5121/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Du Pei (Harvard University)
DTSTART:20211105T173000Z
DTEND:20211105T182000Z
DTSTAMP:20260404T060946Z
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://stable.researchseminars.org/talk/BIRS-21w5121/23/
END:VEVENT
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