| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente Prochaine révisionLes deux révisions suivantes |
| mega:seminaire [2019/01/28 16:25] – [Calendrier 2018-2019] male | mega:seminaire [2019/02/19 14:14] – Laure DUMAZ |
|---|
| {{ :mega:20141121_153039.jpg?400 |}} | {{ :mega:20141121_153039.jpg?400 |}} |
| ===== Prochaine séance ===== | ===== Prochaine séance ===== |
| * 10h30-12h00: mini cours par **[[https://www.math.u-psud.fr/~emaurel/|Édouard Maurel-Segala]]** // //\\ | * Vendredi **15 Mars** salle 421 |
| * 14h00-15h00: **[[https://sites.google.com/view/franck-gabriel-en/home|Franck Gabriel]]** ////\\ | * mini cours par **[[https://www.di.ens.fr/~lelarge/|Marc Lelarge]]** ////\\ |
| * 15h00-16h30: **[[https://www.math.uni-sb.de/ag/speicher/weber.html|Moritz Weber]]** //Quantum symmetries of finite graphs and of noncommutative notions of independence//\\ | * 14h00-15h00: **[[http://math.univ-lyon1.fr/~lancien/|Cécilia Lancien]]** ////\\ |
| | * 15h30-16h30: **[[http://pub.ist.ac.at/~dschroed/|Dominik Schröder]]** //Cusp Universality for Wigner-type Random Matrices.// For Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are universal and form a Pearcey process. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner-Dyson-Mehta universality conjecture for the last remaining universality type.\\ |
| | |
| * Vendredi **8 Février, salle 201** | |
| * 10h30-12h00: mini cours par **[[https://www.math.u-psud.fr/~emaurel/|Édouard Maurel-Segala]]** // //\\ | |
| * 14h00-15h00: **[[https://sites.google.com/view/franck-gabriel-en/home|Franck Gabriel]]** //Schur-Weyl-Jones duality and permutation-invariant random matrices.// Symmetries and independence of large random matrices induce an interesting asymptotic behavior: freeness in the unitary framework, traffic freeness in the symmetric framework. Using Schur-Weyl-Jones duality and defining a new order on partitions allows one to unify the two formalisms. In particular, this makes it possible to define cumulants for the theory of traffics and to generalize the notion of freeness for any easy orthogonal groups. We will use these results to study the asymptotic limit of matrix Lévy processes, such as unitary Brownian motion or random walks on the symmetric group: the limit of the latter defines a multiplicative traffic-free Lévy process which is not a free Lévy process. \\ | |
| * 15h30-16h30: **[[https://www.math.uni-sb.de/ag/speicher/weber.html|Moritz Weber]]** //Quantum symmetries of finite graphs and of noncommutative notions of independence.// In mathematics, symmetries are usually modeled by groups; in modern theories however, we sometimes need to go beyond groups in order to capture symmetry: We need quantum groups. In this talk, I will briefly motivate and introduce the concept of compact matrix quantum groups by Woronowicz from the 1980's based on C*-algebras. I will then focus on two aspects. Firstly, I will survey recent developments in the theory of quantum automorphism groups of graphs. This is a very young but promising field initiated by Bichon and Banica about fifteen years ago. Together with my PhD student Simon Schmidt, we showed that the quantum symmetry group of a graph C*-algebra is exactly the quantum automorphism group of the graph, hence the graph C*-algebra preserves the quantum symmetries of the underlying graph. A second focus of my talk will be on distributional symmetries for noncommutative independence concepts such as Voiculescu's free independence, Boolean independence or bi-free independence. For all these notions, we have a de Finetti type theorem characterizing iid sequences by distributional symmetries. The technical details of the talk will be mostly algebraic and no knowledge on C*-algebras or quantum groups is assumed.\\ | |
| ===== Calendrier 2018-2019 ===== | ===== Calendrier 2018-2019 ===== |
| * Vendredi **12 Octobre**, salle 201 | * Vendredi **12 Octobre**, salle 201 |
| * 15h30-16h30: **[[https://people.kth.se/~holcomb/|Diane Holcomb]]** //On the centered maximum of the Sine beta process//\\ | * 15h30-16h30: **[[https://people.kth.se/~holcomb/|Diane Holcomb]]** //On the centered maximum of the Sine beta process//\\ |
| * Vendredi **8 Février**, salle 201 | * Vendredi **8 Février**, salle 201 |
| * 10h30-12h00: mini cours par **[[https://www.math.u-psud.fr/~emaurel/|Édouard Maurel-Segala]]** // //\\ | * 10h30-12h00: mini cours par **[[https://www.math.u-psud.fr/~emaurel/|Édouard Maurel-Segala]]** //Étude de modèles de matrices par la méthode des cumulants libres//\\ |
| * 14h00-15h00: **[[https://sites.google.com/view/franck-gabriel-en/home|Franck Gabriel]]** //Schur-Weyl-Jones duality and permutation-invariant random matrices//\\ | * 14h00-15h00: **[[https://sites.google.com/view/franck-gabriel-en/home|Franck Gabriel]]** //Schur-Weyl-Jones duality and permutation-invariant random matrices//\\ |
| * 15h30-16h30: **[[https://www.math.uni-sb.de/ag/speicher/weber.html|Moritz Weber]]** //Quantum symmetries of finite graphs and of noncommutative notions of independence//\\ | * 15h30-16h30: **[[https://www.math.uni-sb.de/ag/speicher/weber.html|Moritz Weber]]** //Quantum symmetries of finite graphs and of noncommutative notions of independence//\\ |
| * mini cours par **[[https://www.di.ens.fr/~lelarge/|Marc Lelarge]]** ////\\ | * mini cours par **[[https://www.di.ens.fr/~lelarge/|Marc Lelarge]]** ////\\ |
| * 14h00-15h00: **[[http://math.univ-lyon1.fr/~lancien/|Cécilia Lancien]]** ////\\ | * 14h00-15h00: **[[http://math.univ-lyon1.fr/~lancien/|Cécilia Lancien]]** ////\\ |
| * 15h30-14h30: **[[http://pub.ist.ac.at/~dschroed/|Dominik Schröder]]** ////\\ | * 15h30-16h30: **[[http://pub.ist.ac.at/~dschroed/|Dominik Schröder]]** ////\\ |
| * pas de séance en **Avril** car Conférence du 15 au 19 à Luminy | * pas de séance en **Avril** car Conférence du 15 au 19 à Luminy |
| * Vendredi **10 Mai**, salle 314 | * Vendredi **10 Mai**, salle 314 |
| | * 14h00-15h00: **[[https://davidgarciaz.wixsite.com/math|David Garcia Zelada]]** ////\\ |
| | * 15h30-16h30: **[[https://www-m7.ma.tum.de/bin/view/Analysis/SimoneWarzel|Simone Warzel]]** ////\\ |
| * Vendredi **14 Juin**, salle 201 | * Vendredi **14 Juin**, salle 201 |
| * 14h00-15h00: **[[https://cims.nyu.edu/~dubach/|Guillaume Dubach]]** ////\\ | * 14h00-15h00: **[[https://cims.nyu.edu/~dubach/|Guillaume Dubach]]** ////\\ |