Seminar in Real and Complex Geometry

Tuesday, February 18, 2020, 15:00-17:00, Schreiber building, room 209




Andriy Regeta (University of Jena)

Is an affine spherical variety determined by its automorphism group?


Abstract
             

In this talk I will show that ''many" affine spherical varieties are determined by their automorphism groups seen as ind-groups (in the category of irreducible affine normal varieties). If the automorphism group is considered only as an abstract group, the problem becomes much more complicated. I will show that affine spherical surfaces and the affine n-space are determined by their automorphism groups seen as abstract groups. (This talk is based the following papers: https://arxiv.org/abs/1911.10896 https://arxiv.org/abs/1805.03991 https://arxiv.org/abs/1912.01567).