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TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20230326T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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DTSTART:20221030T020000
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BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1673524800@ist.ac.at
DTSTART:20230112T130000
DTEND:20230112T150000
DESCRIPTION:Speaker: Michel Brion\nhosted by Tamas Hausel
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Michel Brion:
URL:https://talks-calendar.ista.ac.at/events/3939
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1674661500@ist.ac.at
DTSTART:20230125T164500
DTEND:20230125T174000
DESCRIPTION:Speaker: Sarah Penington\nhosted by M. Beiglböck\, N. Berestyc
ki\, L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: We study
a particle system in which particles reproduce\, move randomly in space\,
and compete with each other. We prove global survival as well as a shape
theorem describing the asymptotic spread of the population\, when the popu
lation density is sufficiently large. In contrast to most previous work\,
we allow the competition kernel to have an arbitrary\, or even infinite ra
nge\, whence the term 'non-local competition'. This makes the particle sys
tem non-monotone and of infinite-range dependence\, meaning that the usual
comparison arguments break down and have to be replaced by a more hands-o
n approach. Based on joint work with Pascal Maillard.
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Sarah Penington: Branching random walk with non-local competition
URL:https://talks-calendar.ista.ac.at/events/3956
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1674665100@ist.ac.at
DTSTART:20230125T174500
DTEND:20230125T190000
DESCRIPTION:Speaker: Rhys Steele\nhosted by M. Beiglböck\, N. Berestycki\,
L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: A common thr
ead in modern approaches to providing a solution theory to singular stocha
stic PDEs is that the probabilistic aspects of the problem are encoded in
the construction of a random element of some nonlinear space of distributi
ons. Once a realisation of this data is fixed\, the remaining theory is th
en deterministic.In this talk\, we will discuss this probabilistic aspect
within the framework of regularity structures (where the nonlinear data is
known as a “model”). In this setting\, it is highly non-obvious that
typical driving noises for singular SPDEs yield suitable models and it is
typically the case that some renormalisation procedure is needed. The prim
ary purpose of this talk will be to discuss a new approach to obtaining th
e necessary stochastic estimates which leverages as a core probabilistic a
ssumption a spectral gap inequality for the driving noise of the equation.
(Based on a joint work with Martin Hairer)
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Rhys Steele: BPHZ Renormalisation in Regularity Structures via Spec
tral Gap
URL:https://talks-calendar.ista.ac.at/events/3957
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1674738000@ist.ac.at
DTSTART:20230126T140000
DTEND:20230126T160000
DESCRIPTION:Speaker: Oscar Garcia-Prada\nhosted by Tamas Hausel\nAbstract:
A finite order automorphism of a complex semisimple Lie group determines
a cyclic grading of its Lie algebra. Vinberg's theory is concerned with t
he geometric invariant theory associated to this grading. Important exampl
es include the case of involutions and representations of cyclic quivers.
After reviewing some basic facts about Vinberg's theory\, in this talk I w
ill discuss about its relation to the geometry of moduli spaces of Higgs
bundles over a compact Riemann surface.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:
SUMMARY:Oscar Garcia-Prada: Vinberg pairs and Higgs bundles
URL:https://talks-calendar.ista.ac.at/events/3962
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1674746100@ist.ac.at
DTSTART:20230126T161500
DTEND:20230126T171500
DESCRIPTION:Speaker: Blazej Ruba\nhosted by Robert Seiringer\nAbstract: Pau
li stabilizer code is a system of qubits (or 'qudits') whose ground state
vectors are characterized by invariance under the action of an abelian sub
group of a discrete Heisenberg group. Pauli stabilizer codes have been con
sidered by theorists as potential tools in achieving fault tolerance in qu
antum computation. It was observed that such systems of locally interactin
g qudits arranged on a lattice may exhibit surprising properties\, e.g. gr
ound state degeneracy depending on the topology or existence of excitation
s created at ends of line operators which can not be created locally. Afte
r describing basic examples\, I will outline the theory of translation inv
ariant Pauli stabilizer codes based on commutative algebra.
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Blazej Ruba: Pauli stabilizer codes
URL:https://talks-calendar.ista.ac.at/events/3955
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1675350900@ist.ac.at
DTSTART:20230202T161500
DTEND:20230202T171500
DESCRIPTION:Speaker: Giovanni Brigati\nhosted by Jan Maas\nAbstract: The in
terest for Sobolev's inequalites on the Euclidean space started in the 20t
h century\, after the works of Sobolev\, Gagliardo\, and Nirenberg. Optima
l constants and functions were computed by Aubin and Talenti in the 80's.
Then\, Brezis and Lieb conjectured that the deficit (say\, the difference
between the two sides) of the inequality could control some distance from
the set of optimisers. A first result for Sobolev's inequality\, due to Bi
anchi and Egnell\, appeared in the 90s. In the subsequent decades\, more a
nd more work has been devoted to stability issues\, and in particular to S
obolev's inequality. Sobolev's inequality rewrites equivalently on the sph
ere\, and the known stability results apply thoroughly. Much less was know
n about Gagliardo-Nirenberg inequalities on the sphere (i.e. the subcritic
al family interpolating between Sobolev's and Poincaré inequalities)\, un
til a recent paper by Rupert Frank.Inspired by the last contribution\, a r
ather complete theory - with constructive stability estimates - has been e
stabished by Dolbeault\, Simonov\, and the speaker. The main results and t
echniques of such theory will be the subject of my talk.
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:
SUMMARY:Giovanni Brigati: Constructive stability for subcritical inequaliti
es on the sphere and beyond
URL:https://talks-calendar.ista.ac.at/events/3968
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230201T121933Z
UID:1675354500@ist.ac.at
DTSTART:20230202T171500
DTEND:20230202T181500
DESCRIPTION:Speaker: Eric Thoma\nhosted by Laszlo Erdös\nAbstract: The Cou
lomb gas is a model of statistical physics appearing in a wide variety of
contexts\, from approximation theory to condensed matter physics. This tal
k will address several recent results\, including optimal Wegner estimates
\, the size of the minimal inter-particle distance\, and incompressibility
on large microscopic scales\, which all share one unifying and intuitive
idea. We will also discuss an application to the fractional quantum Hall e
ffect.
LOCATION:Mondi 2\, I01.01.008\, Central Building\, ISTA
ORGANIZER:
SUMMARY:Eric Thoma: Overcrowding Estimates for the Coulomb Gas
URL:https://talks-calendar.ista.ac.at/events/3967
END:VEVENT
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