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BEGIN:VEVENT
SUMMARY:Mathematical Puzzles from Causal Set Quantum Gravity
DTSTART;VALUE=DATE-TIME:20210223T150000Z
DTEND;VALUE=DATE-TIME:20210223T152500Z
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UID:indico-contribution-4-68@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Sumati Surya (Raman Research Institute)\nI will disc
uss some of the mathematical puzzles that arise from the causal set appr
oach to quantum gravity. In this approach\, any causal continuum spacetime
is said to be emergent from an underlying ensemble of locally finite po
sets which represents a discretisation of the causal structure. If the d
iscrete substructure is to capture continuum geometry to sufficient accura
cy\, then it must be "approximately" close to it. How can we quantify thi
s closeness? This discreteness\, while also preserving local Lorentz invar
iance\, leads to a fundamental non-locality. This is not only an obstacle
to a “traditional” initial value formulation\, but also to the geometr
ic interpretation of entanglement entropy. Is there an analytic way to q
uantify the remanent Planckian non-locality? These questions\, as well a
s others arising from the quantum dynamics of causal\, may be of potenti
al interest to mathematicians\, in particular Geometers and Combinatorists
.\n\nhttps://events.perimeterinstitute.ca/event/4/contributions/68/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On hidden quantum group symmetries in CFT
DTSTART;VALUE=DATE-TIME:20210225T153000Z
DTEND;VALUE=DATE-TIME:20210225T155500Z
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UID:indico-contribution-4-76@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Eveliina Peltola (Bonn University)\n"I discuss appli
cations of a hidden $U_q(\\mathfrak{sl}_2)$-symmetry in CFT with central c
harge $c \\leq 1$ (focusing on the generic\, semisimple case\, with $c$ ir
rational). This symmetry provides a systematic method for solving Belavin-
Polyakov-Zamolodchikov PDE systems\, and in particular for explicit calcul
ation of the asymptotics and monodromy properties of the solutions. Using
a quantum Schur-Weyl duality\, one can understand solution spaces of such
PDE systems in a detailed way. The solutions\, in turn\, are useful both f
or CFT questions and for rigorous understanding of the connections of 2D C
FT with critical models of statistical physics."\n\nhttps://events.perimet
erinstitute.ca/event/4/contributions/76/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Entropy and energy fluctuations in non-equilibrium quantum statis
tical mechanics
DTSTART;VALUE=DATE-TIME:20210225T160000Z
DTEND;VALUE=DATE-TIME:20210225T162500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-77@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Annalisa Panati (University of Toulon)\n"Non-equilib
rium statistical mechanics has seen some impressive developments in the la
st three decades\, thank to the pioneering works of Evans\, Cohen\, Morris
and Searles on the violation of the second law\, soon followed by the gro
und-breaking formulation of the Fluctuation Theorem by Gallavotti and Cohe
n for entropy fluctuation in the early nineties. Their work was by vast li
terature\, both theoretical and experimental\n\nThe extension of these res
ults to the quantum setting has turned out to be surprisingly challenging
and it is still an undergoing effort. Kurchan’s seminal work (2000) sho
wed the measurement role has to be taken in account\, leading to the intr
oduction of the so called two-time measurement statistics (also known as f
ull counting statistics). However in this context\, the lack of a trajecto
ry notion leads to both conceptual and technical problems\, or phenomena w
ith no classical counterpart\, as underlined by some of our recent results
.\n\nIn this talk I will review some of the key concept involved in the Fl
uctuation Theorem and its extensions to the quantum setting\; I will pres
ent some recent results exploring the role played by ultraviolet regula
rity 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:Change the coefficients of conditional entropies in extensivity
DTSTART;VALUE=DATE-TIME:20210225T150000Z
DTEND;VALUE=DATE-TIME:20210225T152500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-75@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Asuka Takatsu (Tokyo Metropolitan University)\nThe B
oltzmann--Gibbs entropy is a functional on the space of probability measur
es. One characterization of the Boltzmann--Gibbs entropy is given by the S
hannon--Khinchin axioms\, which consist of continuity\, maximality\, expan
dability and extensivity. The extensivity is expressed in terms of the lin
ear combinations of conditional probabilities. Replacing the coefficients
in the linear combinations with a power function provides a characterizat
ion of the Tsallis entropy. I talk about the impossibility to replace the
coefficients with a non-power function.\n\nhttps://events.perimeterinstitu
te.ca/event/4/contributions/75/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Why women leave: Model women and models of discrimination
DTSTART;VALUE=DATE-TIME:20210224T180000Z
DTEND;VALUE=DATE-TIME:20210224T191500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-74@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Susama Agarwala (Johns Hopkins University )\n"In thi
s talk\, I posit two concepts from the economics literature as hypotheses
for the observed data on women in academia. This talk includes time for di
scussion about how these concepts can inform our approach to mentoring jun
ior women.\n"\n\nhttps://events.perimeterinstitute.ca/event/4/contribution
s/74/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:From gauge fields to direct connections on gauge groupoids
DTSTART;VALUE=DATE-TIME:20210224T160000Z
DTEND;VALUE=DATE-TIME:20210224T162500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-73@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Alessandra Frabetti (Université Claude Bernard Lyon
1)\n"Geometrically\, a gauge theory consists of a spinor bundle describin
g the matter fields\, associated to some principal bundle whose gauge grou
p rules the internal symmetries of the system. The gauge fields are the lo
cal expressions of a principal connection inducing a covariant derivative
which settles the dynamics of the matter fields.\nPrincipal connections ca
n be seen as parallel displacements on the fibres of the principal bundle
along curves on the base manifold. In this talk I shortly present a genera
lisation of gauge fields given by direct connections on gauge groupoids\,
based on a work in progress with S. Azzali\, Y. Boutaib\, A. Garmendia and
S. Paycha."\n\nhttps://events.perimeterinstitute.ca/event/4/contributions
/73/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal correlators and AdS2/CFT1
DTSTART;VALUE=DATE-TIME:20210224T153000Z
DTEND;VALUE=DATE-TIME:20210224T155500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-72@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Valentina Forini (City University of London)\nhttps:
//events.perimeterinstitute.ca/event/4/contributions/72/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A gentle introduction to (modular tensor) categories
DTSTART;VALUE=DATE-TIME:20210224T150000Z
DTEND;VALUE=DATE-TIME:20210224T152500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-71@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Ana Ros Camacho (Cardiff University)\nIn this talk
we will introduce categories\, a notion that packages mathematical objects
of any kind and provides an abstract language to study them. We will buil
d up our way towards so-called modular tensor categories\, which roughly s
peaking are categories with a tensor product\, duals\, and quite a bit of
extra categorical structure. They arise in (rational) conformal field theo
ry and its study poses many interesting questions on their classification\
, internal structure and generalizations. I will give an overview of these
questions and some current lines of research in this topic.\n\nhttps://ev
ents.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;VALUE=DATE-TIME:20210223T160000Z
DTEND;VALUE=DATE-TIME:20210223T162500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-70@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Renate Loll (Radboud University Nijmegen)\nThe physi
cs of General Relativity is deeply intertwined with the mathematics of Lor
entzian differentiable manifolds. The latter provide excellent models of s
pacetime across a vast range of physical scales\, encoding gravitational i
nteractions into the curvature properties of smooth metric spaces. However
\, describing geometry in terms of the infinitesimal line element "ds" doe
s not seem appropriate in the quantum regime near the Planck scale. -- Com
ing from different perspectives\, geometers\, classical relativists and qu
antum gravity researchers are actively investigating more general geometri
c settings\, abandoning smoothness or even continuity of the metric space.
The crucial question is what aspects of standard (pseudo-)Riemannian geom
etry survive\, and what this tells us about the "essence" of curvature and
geometry and about the ultimate nature of physical spacetime. Can we lear
n from each others' insights?\n\nhttps://events.perimeterinstitute.ca/even
t/4/contributions/70/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On generalized hyperpolygons
DTSTART;VALUE=DATE-TIME:20210223T153000Z
DTEND;VALUE=DATE-TIME:20210223T155500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-69@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Laura Schaposnik (University of Illinois at Chicago)
\nIn this talk we will introduce generalized hyperpolygons\, which arise a
s Nakajima-type representations of a comet-shaped quiver\, following recen
t work joint with Steven Rayan. After showing how to identify these repres
entations with pairs of polygons\, we shall associate to the data an expli
cit meromorphic Higgs bundle on a genus-g Riemann surface\, where g is the
number of loops in the comet. We shall see that\, under certain assumptio
ns on flag types\, the moduli space of generalized hyperpolygons admits th
e structure of a completely integrable Hamiltonian system.\n\nhttps://even
ts.perimeterinstitute.ca/event/4/contributions/69/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum information and black holes
DTSTART;VALUE=DATE-TIME:20210222T160000Z
DTEND;VALUE=DATE-TIME:20210222T162500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-67@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Johanna Erdmenger (Julius-Maximilians-Universität W
ürzburg)\n"The concepts of quantum information theory play an important r
ole in two seemingly distinct areas of physics: For studying the quantum p
roperties of black holes as well as for devising quantum computing algorit
hms. Quantum entanglement and computational complexity may be mapped to
geometric quantities. This is intimately related to the holographic princi
ple\, 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 describ
e the essential new concepts that relate quantum information to geometry a
nd gravity. Technically\, this involves generalising quantum information r
esults to quantum field theories\, i.e. from finite to infinite-dimensiona
l Hilbert spaces. I will explain how the new relations may be used to ob
tain both a further\nunderstanding of quantum black holes\, as well as fur
ther advances for the theoretical foundations of quantum computing."\n\nht
tps://events.perimeterinstitute.ca/event/4/contributions/67/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:State sum models with defects
DTSTART;VALUE=DATE-TIME:20210222T153000Z
DTEND;VALUE=DATE-TIME:20210222T155500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-66@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Catherine Meusburger (University of Erlangen-Nürnbe
rg)\n"We explain how to construct a Turaev-Viro state sum model with defec
t planes\, defect lines and defect points. This is work in progress with J
ohn Barrett."\n\nhttps://events.perimeterinstitute.ca/event/4/contribution
s/66/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Division algebraic symmetry breaking
DTSTART;VALUE=DATE-TIME:20210222T150000Z
DTEND;VALUE=DATE-TIME:20210222T152500Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-65@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Nichol Furey (Humboldt University of Berlin)\nCan th
e 32C-dimensional algebra RCHO offer anything new for particle physics? I
ndeed it can. Here we identify a sequence of complex structures within RC
HO which sets in motion a cascade of breaking symmetries: Spin(10) -> Pat
i-Salam -> Left-Right symmetric -> Standard model + B-L (both pre- and pos
t-Higgs-mechanism). These complex structures derive from the octonions\, t
hen from the quaternions\, then from the complex numbers. It should be no
ted that this pattern would not have been obvious within the standard form
alism.\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:Welcome and Opening Remarks
DTSTART;VALUE=DATE-TIME:20210222T145000Z
DTEND;VALUE=DATE-TIME:20210222T150000Z
DTSTAMP;VALUE=DATE-TIME:20210731T100313Z
UID:indico-contribution-4-64@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Anne Taormina (Durham University)\, Bianca Dittrich
(Perimeter Institute)\, Katarzyna Rejzner (University of York)\, Reiko Tor
iumi (Okinawa Institute of Science and Technology)\, Sylvie Paycha (Univer
sity of Potsdam)\, Theo Johnson-Freyd (Perimeter Institute)\nhttps://event
s.perimeterinstitute.ca/event/4/contributions/64/
LOCATION:Perimeter Institute
URL:https://events.perimeterinstitute.ca/event/4/contributions/64/
END:VEVENT
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