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X-WR-CALNAME;VALUE=TEXT:Upcoming Events
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BEGIN:VEVENT
UID:news-1611@dmi.unibas.ch
DTSTAMP:20231107T040532
DTSTART;TZID=Europe/Zurich:20231213T151500
DTEND;TZID=Europe/Zurich:20231213T160000
SUMMARY:Seminar Analysis and Mathematical Physics: Theodore Drivas (Stony Brook University)
LOCATION:Online via Zoom
DESCRIPTION:We will discuss aspects of the global picture of 2D fluids. Ste
ady states, deterioration of regularity for time dependent solu
tions as well as for the Lagrangian flowmap, as well as conject
ural pictures about the weak-* attractor and generic behavior b
y Shnirelman and Sverak. \r\nNotice the special time!
END:VEVENT
BEGIN:VEVENT
UID:news-1550@dmi.unibas.ch
DTSTAMP:20231204T091610
DTSTART;TZID=Europe/Zurich:20231215T110000
DTEND;TZID=Europe/Zurich:20231215T120000
SUMMARY:Seminar in Numerical Analysis: Caroline Geiersbach (WIAS Berlin)
LOCATION:
DESCRIPTION:Many problems in shape optimization involve constraints in the
form of one or more partial differential equations. In practice
, the material properties of the underlying shape on which a PD
E is defined are not known exactly; it is natural to use a prob
ability distribution based on empirical measurements and incorp
orate this information when designing an optimal shape. Additio
nally, one might wish to obtain a shape that is robust in its r
esponse to certain external inputs, such as forces. It is helpf
ul to view shape optimization problems subject to uncertainty t
hrough the lens of stochastic optimization, where a wealth of t
heory and algorithms already exist for finite-dimensional probl
ems. The focus will be on the algorithmic handling of these pro
blems in the case of a high stochastic dimension. Stochastic ap
proximation, which dynamically samples from the stochastic spac
e over the course of iterations, is favored in this case, and w
e show how these methods can be applied to shape optimization.
We study the classical stochastic gradient method, which was in
troduced in 1951 by Robbins and Monro and is widely used in mac
hine learning. In particular, we investigate its application to
infinite-dimensional shape manifolds. Further, we present nume
rical examples showing the performance of the method, also in c
ombination with the augmented Lagrangian method for problems wi
th geometric constraints. \r\nJoint work with: Kathrin Welker,
Estefania Loayza-Romero, Tim Suchan\r\n \r\nFor further infor
mation about the seminar, please visit this webpage [https://dm
i.unibas.ch/en/research/mathematics/seminar-in-numerical-analys
is/].
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BEGIN:VEVENT
UID:news-1622@dmi.unibas.ch
DTSTAMP:20231208T101358
DTSTART;TZID=Europe/Zurich:20231215T160000
DTEND;TZID=Europe/Zurich:20231215T170000
SUMMARY:BZ Seminar in Analysis: Svitlana Mayboroda (ETH Zürich)
LOCATION:Uni Zürich Campus Irchel Y16 - G05
DESCRIPTION:We construct the harmonic measure associated to partially refle
ctive Brownian motion (that is, Robin boundary data) and demons
trate that its behavior is surprisingly different from the Diri
chlet analogue. In particular, contrary to the traditional sett
ing and to some predictions in physics literature, it is absolu
tely continuous with respect to the Hausdorff measure for a lar
ge class of operators and domains.
END:VEVENT
BEGIN:VEVENT
UID:news-1623@dmi.unibas.ch
DTSTAMP:20231208T101646
DTSTART;TZID=Europe/Zurich:20231215T173000
DTEND;TZID=Europe/Zurich:20231215T183000
SUMMARY:BZ Seminar in Analysis: Marcello Porta (SISSA Trieste)
LOCATION:Uni Zürich Campus Irchel Y16 - G05
DESCRIPTION:I will discuss the emergence of effective evolution equations f
or the dynamics of N interacting quantum particles, of fermioni
c type, starting from the many-body Schroedinger equation. In t
he last years, there has been a lot of progress in the derivati
on of the Hartree-Fock (HF) equation, a nonlinear evolution equ
ation for weakly correlated initial states, in the mean-field r
egime. There, one typically considers initially confined partic
les, with density that grows linearly with N. In this talk, I w
ill discuss the case of extended systems, at fixed particle den
sity. The HF dynamics arises after extracting the mean-field be
havior at the local scale, which is made possible thanks to the
propagation of a suitable local semiclassical structure of the
initial datum along the HF flow. In the second part of the tal
k I will adapt the strategy to the case of many-body systems wh
ere the number of particles is not fixed, in the mean-field reg
ime. I will present the rigorous derivation of the Hartree-Fock
-Bogoliubov equation, a nonlinear equation for the dynamics of
initial data characterized by a nonzero pairing density, releva
nt for the description of superconductors in BCS theory. Based
on joint works with L. Fresta and B. Schlein, and with S. Marca
ntoni and J. Sabin.
END:VEVENT
BEGIN:VEVENT
UID:news-1606@dmi.unibas.ch
DTSTAMP:20231127T180556
DTSTART;TZID=Europe/Zurich:20231218T121500
DTEND;TZID=Europe/Zurich:20231218T130000
SUMMARY:Bernoullis Tafelrunde: Jim Zhao (University of Basel)
LOCATION:Seminarraum 05.002
DESCRIPTION:tba
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