Tuesday, July 6, 14:00

Florian Eisele (City, University of London)
Bijections of silting complexes and derived Picard groups.

Abstract:
I will explain how two large classes of finite-dimensional algebras, namely Brauer graph algebras and the weighted surface algebras introduced by Erdmann and Skowronski, have multiplicity-independent posets of silting complexes, and derived Picard groups sharing large multiplicity-independent subgroups. The key ingredient for this is the existence of lifts of these algebras to orders over formal power series rings, which are remarkably similar to orders over p-adic rings encountered in the modular representation theory of finite groups.