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BEGIN:VEVENT
SUMMARY:Welcome and Opening Remarks
DTSTART:20210222T145000Z
DTEND:20210222T150000Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-64@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Theo Johnson-Freyd (Perimeter Institute)\, Anne Taor
mina (Durham University)\, Sylvie Paycha (University of Potsdam)\, Katarzy
na Rejzner (University of York)\, Reiko Toriumi (Okinawa Institute of Scie
nce and Technology)\, Bianca Dittrich (Perimeter Institute)\n\nhttps://eve
nts.perimeterinstitute.ca/event/4/contributions/64/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:State sum models with defects
DTSTART:20210222T153000Z
DTEND:20210222T155500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-66@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Catherine Meusburger (University of Erlangen-Nürnbe
rg)\n\n"We explain how to construct a Turaev-Viro state sum model with def
ect planes\, defect lines and defect points. This is work in progress with
John Barrett."\n\nhttps://events.perimeterinstitute.ca/event/4/contributi
ons/66/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum information and black holes
DTSTART:20210222T160000Z
DTEND:20210222T162500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-67@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Johanna Erdmenger (Julius-Maximilians-Universität W
ürzburg)\n\n"The concepts of quantum information theory play an important
role in two seemingly distinct areas of physics: For studying the quantum
properties of black holes as well as for devising quantum computing algor
ithms. Quantum entanglement and computational complexity may be mapped to
geometric quantities. This is intimately related to the holographic pri
nciple\, according to which the information stored in a volume is encoded
on its surface\, as is the case for black holes. In the talk I will desc
ribe the essential new concepts that relate quantum information to geometr
y and gravity. Technically\, this involves generalising quantum informatio
n results to quantum field theories\, i.e. from finite to infinite-dimensi
onal Hilbert spaces. I will explain how the new relations may be used to
obtain both a further\nunderstanding of quantum black holes\, as well as
further advances for the theoretical foundations of quantum computing."\n\
nhttps://events.perimeterinstitute.ca/event/4/contributions/67/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On generalized hyperpolygons
DTSTART:20210223T153000Z
DTEND:20210223T155500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-69@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Laura Schaposnik (University of Illinois at Chicago)
\n\nIn this talk we will introduce generalized hyperpolygons\, which arise
as Nakajima-type representations of a comet-shaped quiver\, following rec
ent work joint with Steven Rayan. After showing how to identify these repr
esentations with pairs of polygons\, we shall associate to the data an exp
licit meromorphic Higgs bundle on a genus-g Riemann surface\, where g is t
he number of loops in the comet. We shall see that\, under certain assumpt
ions on flag types\, the moduli space of generalized hyperpolygons admits
the structure of a completely integrable Hamiltonian system.\n\nhttps://ev
ents.perimeterinstitute.ca/event/4/contributions/69/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:From gauge fields to direct connections on gauge groupoids
DTSTART:20210224T160000Z
DTEND:20210224T162500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-73@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Alessandra Frabetti (Université Claude Bernard Lyon
1)\n\n"Geometrically\, a gauge theory consists of a spinor bundle describ
ing the matter fields\, associated to some principal bundle whose gauge gr
oup rules the internal symmetries of the system. The gauge fields are the
local expressions of a principal connection inducing a covariant derivativ
e which settles the dynamics of the matter fields.\nPrincipal connections
can be seen as parallel displacements on the fibres of the principal bundl
e along curves on the base manifold. In this talk I shortly present a gene
ralisation of gauge fields given by direct connections on gauge groupoids\
, based on a work in progress with S. Azzali\, Y. Boutaib\, A. Garmendia a
nd S. Paycha."\n\nhttps://events.perimeterinstitute.ca/event/4/contributio
ns/73/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Change the coefficients of conditional entropies in extensivity
DTSTART:20210225T150000Z
DTEND:20210225T152500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-75@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Asuka Takatsu (Tokyo Metropolitan University)\n\nThe
Boltzmann--Gibbs entropy is a functional on the space of probability meas
ures. One characterization of the Boltzmann--Gibbs entropy is given by the
Shannon--Khinchin axioms\, which consist of continuity\, maximality\, exp
andability and extensivity. The extensivity is expressed in terms of the l
inear combinations of conditional probabilities. Replacing the coefficien
ts in the linear combinations with a power function provides a characteriz
ation of the Tsallis entropy. I talk about the impossibility to replace th
e coefficients with a non-power function.\n\nhttps://events.perimeterinsti
tute.ca/event/4/contributions/75/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A gentle introduction to (modular tensor) categories
DTSTART:20210224T150000Z
DTEND:20210224T152500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-71@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Ana Ros Camacho (Cardiff University)\n\nIn this tal
k we will introduce categories\, a notion that packages mathematical objec
ts of any kind and provides an abstract language to study them. We will bu
ild up our way towards so-called modular tensor categories\, which roughly
speaking are categories with a tensor product\, duals\, and quite a bit o
f extra categorical structure. They arise in (rational) conformal field th
eory and its study poses many interesting questions on their classificatio
n\, internal structure and generalizations. I will give an overview of the
se questions and some current lines of research in this topic.\n\nhttps://
events.perimeterinstitute.ca/event/4/contributions/71/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exploring spacetime beyond classicality
DTSTART:20210223T160000Z
DTEND:20210223T162500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-70@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Renate Loll (Radboud University Nijmegen)\n\nThe phy
sics of General Relativity is deeply intertwined with the mathematics of L
orentzian differentiable manifolds. The latter provide excellent models of
spacetime across a vast range of physical scales\, encoding gravitational
interactions into the curvature properties of smooth metric spaces. Howev
er\, describing geometry in terms of the infinitesimal line element "ds" d
oes not seem appropriate in the quantum regime near the Planck scale. -- C
oming from different perspectives\, geometers\, classical relativists and
quantum gravity researchers are actively investigating more general geomet
ric settings\, abandoning smoothness or even continuity of the metric spac
e. The crucial question is what aspects of standard (pseudo-)Riemannian ge
ometry survive\, and what this tells us about the "essence" of curvature a
nd geometry and about the ultimate nature of physical spacetime. Can we le
arn from each others' insights?\n\nhttps://events.perimeterinstitute.ca/ev
ent/4/contributions/70/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Division algebraic symmetry breaking
DTSTART:20210222T150000Z
DTEND:20210222T152500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-65@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Nichol Furey (Humboldt University of Berlin)\n\nCan
the 32C-dimensional algebra RCHO offer anything new for particle physics?
Indeed it can. Here we identify a sequence of complex structures within
RCHO which sets in motion a cascade of breaking symmetries: Spin(10) -> P
ati-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and p
ost-Higgs-mechanism). These complex structures derive from the octonions\,
then from the quaternions\, then from the complex numbers. It should be
noted that this pattern would not have been obvious within the standard fo
rmalism.\n\nhttps://events.perimeterinstitute.ca/event/4/contributions/65/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Why women leave: Model women and models of discrimination
DTSTART:20210224T180000Z
DTEND:20210224T191500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-74@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Susama Agarwala (Johns Hopkins University )\n\n"In t
his talk\, I posit two concepts from the economics literature as hypothese
s for the observed data on women in academia. This talk includes time for
discussion about how these concepts can inform our approach to mentoring j
unior women.\n"\n\nhttps://events.perimeterinstitute.ca/event/4/contributi
ons/74/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal correlators and AdS2/CFT1
DTSTART:20210224T153000Z
DTEND:20210224T155500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-72@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Valentina Forini (City University of London)\n\nhttp
s://events.perimeterinstitute.ca/event/4/contributions/72/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Entropy and energy fluctuations in non-equilibrium quantum statis
tical mechanics
DTSTART:20210225T160000Z
DTEND:20210225T162500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-77@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Annalisa Panati (University of Toulon)\n\n"Non-equil
ibrium statistical mechanics has seen some impressive developments in the
last three decades\, thank to the pioneering works of Evans\, Cohen\, Morr
is and Searles on the violation of the second law\, soon followed by the g
round-breaking formulation of the Fluctuation Theorem by Gallavotti and Co
hen for entropy fluctuation in the early nineties. Their work was by vast
literature\, both theoretical and experimental\n\nThe extension of these r
esults to the quantum setting has turned out to be surprisingly challengin
g and it is still an undergoing effort. Kurchan’s seminal work (2000) s
howed the measurement role has to be taken in account\, leading to the in
troduction of the so called two-time measurement statistics (also known as
full counting statistics). However in this context\, the lack of a trajec
tory notion leads to both conceptual and technical problems\, or phenomena
with no classical counterpart\, as underlined by some of our recent resul
ts.\n\nIn this talk I will review some of the key concept involved in the
Fluctuation Theorem and its extensions to the quantum setting\; I will pr
esent some recent results exploring the role played by ultraviolet regu
larity conditions (joint work with R.Raquépas and T.Benoist )."\n\nhttps:
//events.perimeterinstitute.ca/event/4/contributions/77/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On hidden quantum group symmetries in CFT
DTSTART:20210225T153000Z
DTEND:20210225T155500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-76@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Eveliina Peltola (Bonn University)\n\n"I discuss app
lications of a hidden $U_q(\\mathfrak{sl}_2)$-symmetry in CFT with central
charge $c \\leq 1$ (focusing on the generic\, semisimple case\, with $c$
irrational). This symmetry provides a systematic method for solving Belavi
n-Polyakov-Zamolodchikov PDE systems\, and in particular for explicit calc
ulation of the asymptotics and monodromy properties of the solutions. Usin
g a quantum Schur-Weyl duality\, one can understand solution spaces of suc
h PDE systems in a detailed way. The solutions\, in turn\, are useful both
for CFT questions and for rigorous understanding of the connections of 2D
CFT with critical models of statistical physics."\n\nhttps://events.perim
eterinstitute.ca/event/4/contributions/76/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mathematical Puzzles from Causal Set Quantum Gravity
DTSTART:20210223T150000Z
DTEND:20210223T152500Z
DTSTAMP:20240418T220700Z
UID:indico-contribution-68@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Sumati Surya (Raman Research Institute)\n\nI will di
scuss some of the mathematical puzzles that arise from the causal set ap
proach to quantum gravity. In this approach\, any causal continuum spaceti
me is said to be emergent from an underlying ensemble of locally finite
posets which represents a discretisation of the causal structure. If the
discrete substructure is to capture continuum geometry to sufficient accu
racy\, then it must be "approximately" close to it. How can we quantify t
his closeness? This discreteness\, while also preserving local Lorentz inv
ariance\, leads to a fundamental non-locality. This is not only an obstacl
e to a “traditional” initial value formulation\, but also to the geome
tric interpretation of entanglement entropy. Is there an analytic way to
quantify the remanent Planckian non-locality? These questions\, as well
as others arising from the quantum dynamics of causal\, may be of poten
tial interest to mathematicians\, in particular Geometers and Combinatoris
ts.\n\nhttps://events.perimeterinstitute.ca/event/4/contributions/68/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/68/
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