SMS scnews item created by Kevin Coulembier at Fri 9 Aug 2019 0818
Type: Seminar
Distribution: World
Expiry: 20 Sep 2019
Calendar1: 16 Aug 2019 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: Building bridges between geometry and algebra
Auth: (kcou7211) in SMS-WASM

Algebra Seminar: Schwer -- Building bridges between geometry and algebra

Petra Schwer (Otto von Guericke Universitat Magdeburg) 

Friday 16 August, 12-1pm, Place: Carslaw 375 

Title: Building bridges between geometry and algebra 

Abstract: Reductive groups, like GL_n, SL_n, SP_n, play an important role in many areas
of mathematics.  In this talk I will explain how much of the subgroup structure of a
reductive group over a non-Archimedian local field can be explained via the geometry of
an (affine) Bruhat-Tits building, its apartments and retractions.  The building for
example simultaneously encodes the (affine) flag variety and (affine) Grassmannian
associated to the group.  But it also permits to explain more complicated structures
such as representation theoretic data or other associated varieties (e.g.  the affine
Deligne-Lusztig varieties) in purely combinatorial terms.