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SUMMARY:Journée de l'équipe EDP-Analyse
DTSTART;VALUE=DATE-TIME:20210921T070000Z
DTEND;VALUE=DATE-TIME:20210921T143000Z
DTSTAMP;VALUE=DATE-TIME:20210920T174552Z
UID:indico-event-6916@indico.math.cnrs.fr
DESCRIPTION:Programme:\n\n09h00 - 10h00: Piotr Biler - Large self-similar
solutions of the parabolic-elliptic Keller-Segel model in higher dimension
s\;\n\nAbstract: We construct radial self-similar solutions of the\, so ca
lled\, minimal parabolic-elliptic Keller-Segel model in several space dime
nsions with radial\, nonnegative initial conditions which are below the Ch
andrasekhar solution - the singular stationary solution of this system.\n\
n10h00 - 11h00: Laurent Bétermin - Fekete points\, vortices and crystalli
zation problems\;\n\nAbstract: The main goal of this talk is to explain th
e connection between the discrete minimizers of the logarithmic energy on
the 2-sphere (i.e. Fekete points) with the so-called ‘Vortex Conjecture
’ (or Wigner/Abrikosov Conjecture) about the optimality of the triangula
r lattice at fixed density for a Coulombian two-dimensional renormalized e
nergy. Other strongly related crystallization problems will be discussed i
n two and higher dimensions: Universal Optimality (Cohn-Kumar)\, crystalli
zation for one-well potentials (e.g. Lennard-Jones type potentials) and mi
nimization of energies among Bravais lattices.\n\n11h00 - 11h15: pause caf
é\;\n\n11h15 - 12h15: Oscar Dominguez Bonilla - Sparse John--Nirenberg sp
aces\;\n\nAbstract: We introduce John--Nirenberg-type spaces where oscilla
tions of functions are controlled via sparse families of cubes. This const
ruction gives new surprising results and clarifies classical inequalities.
It is joint work with Mario Milman.\n\n(pause déjeuner)\n\n14h00 - 15h00
: Gauthier Clerc - Longtime behaviour of entropic interpolations\;\n\nAbst
ract: The Schrödinger problem is an entropy minimisation problem on the s
pace of probability measures. From a physical point of view\, it consist t
o find the most likely evolution of a cloud of Brownian particles\, given
the two endpoints. Optimal curves of this problem are called entropic inte
rpolations. In this talk I will introduce the Schrödinger problem\, then
I will present some new results about the longtime behaviour of entropic i
nterpolations.\n\n15h00 - 15h15: pause café\;\n\n15h15 - 16h15: Mickael D
e La Salle - Questions on the harmonic analysis on the sphere\;\n\nAbstrac
t: One of my long-term projects is to develop tools to perform analysis wi
th higher rank Lie and arithmetic groups (for example SL(3\,R) and SL(3\,Z
)). Thanks to amazing discoveries by Vincent Lafforgue and other later pro
gresses obtained by various authors\, many of the questions can be reduced
to simple-looking inequalities concerning vector-valued harmonic analysis
on the euclidean spheres. I will try to explain all that and some progres
ses that I have made so far.\n\nhttps://indico.math.cnrs.fr/event/6916/
LOCATION:ICJ Salle Fokko du Cloux
URL:https://indico.math.cnrs.fr/event/6916/
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