Séminaire Doctorants
organisé par l'équipe DOCT
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Aurélien Minguella
A brief introduction to stochastic partial differential equations
13 mars 2025 - 16:30Salle de conférences IRMA
Stochastic partial differential equations (SPDEs) are the mathematical objects used to describe the random dynamics of infinite-dimensional objects. They take applications in a broad range of areas, from statistical and theoretical physics, to fluid mechanics. These objects display very rich mathematical behaviour and have known a gain of interest since Martin Hairer was awarded the Fields medal in 2014 for constructing a solution theory for a very broad class of singular equations.
In this talk, we will try to give a very quick overview of some simple SPDEs, but where some essential phenomena already arise. Some emphasis will be given on the invariant measures for such equations. We will first give a review of basic stochastic calculus and continue with an example of a linear SPDE: the stochastic heat equation. If time permits, we will give a more advanced example where a non-linear SPDE shows up as the scaling limit of the dynamics of a particle system. We will finish with an informal overview of the most recent theories and current challenges in the field.
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Taichi Katayama
An Introduction to elliptic multiple zeta values and regularization
20 mars 2025 - 16:30Salle de conférences IRMA
In 2016, Enriquez introduced elliptic multiple zeta values (eMZVs) as analogues of multiple zeta values in genus 1 curves. In this talk, I will first give a brief introduction to eMZVs. Then, I will present my result showing that eMZVs with non-admissible indices can be expressed as polynomial combinations of eMZVs with admissible indices and eMZVs with specific indices consisting of 0 and 1. -
William Sarem
TBA
27 mars 2025 - 16:30Salle de conférences IRMA
TBA -
Jean-Pierre Noot
TBA
3 avril 2025 - 16:30Salle de conférences IRMA
TBA -
Hassan Ballout
TBA
10 avril 2025 - 16:30None
Salle C41 -
Lucas Noël
TBA
24 avril 2025 - 16:30Salle de conférences IRMA
TBA -
Ludovic Felder
TBA
15 mai 2025 - 16:30Salle de conférences IRMA
TBA -
Nicolas Pailliez
TBA
22 mai 2025 - 16:30Salle de séminaires IRMA
TBA -
Lucas Bourgoin
TBA
5 juin 2025 - 16:30Salle de séminaires IRMA
TBA -
Anaïs Meunier
TBA
12 juin 2025 - 16:30Salle de séminaires IRMA
TBA -
Livia Grammatica
TBA
19 juin 2025 - 16:30Salle de conférences IRMA
TBA