Tuesday, July 6, 14:00
Florian Eisele (City, University of London)
Bijections of silting complexes and derived Picard groups.
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.