|24/09/18||Seminario||14:30||15:30||1101 D'Antoni||Pramod N. ACHAR||Louisiana State University||
The Humphreys conjecture on support varieties of tilting modules
Let G be a reductive algebraic group over a field of positive characteristic. This talk is about geometric invariants of representations of G. Given a finite-dimensional G-representation V, classical results of Andersen-Jantzen and Friedlander-Parshall make it possible to associate to V a certain subset of the nilpotent elements in the Lie algebra of G, called the "support variety of V". About 20 years ago, Humphreys proposed a conjectural description of the support variety for an important class of modules called tilting modules. I will discuss recent progress on this conjecture. This is joint work with William Hardesty and Simon Riche.
N.B.: this talk is part of the activity of the MIUR Excellence Department Project CUP E83C18000100006
|11/09/18||Seminario||14:30||15:30||1201 Dal Passo||Gershon Wolansky||Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000, Israel ||From optimal transportation to optimal teleportation|
I will review basic concepts from optimal transportation theory, and introduce some limit theorems which reveal some connections between different metrics on measure spaces. Among possible application are new models for congested traffic.