IMS Inner Seminar 3: Buildings and block decompositions for p-adic classical groups

Seminarj| Institute of Mathematical Sciences

Time: Thursday, October 10th, 2024 , 14:30-15:20

Speaker: Daniel Skodlerack, ShanghaiTech

Abstract: (Joint work with Robert Kurinczuk, Shaun Stevens, David Helm) In this talk we present how to get the block decompositions for the category of smooth representations of a p-adic classical group with coefficients in a very general integral domain in which p is invertible. It is done in two steps: First in decomposing via endo-parameters and then decomposing for an endo-parameter the subcategory into blocks along block-decompositions for finite groups passing through the vertexes of a chamber of a building associated to the end-parameter.