Friday, May 25, 11:30, 7.527

Martin Kalck (Edinburgh)
Ringel duality for certain ultra strongly quasi-hereditary algebras inspired by Knörrer-type equivalences for two-dimensional cyclic quotient singularities.

Abstract:
Inspired by an observation of Dong Yang, we construct triangle equivalences between singularity categories of two-dimensional cyclic quotient singularities and singularity categories of a new class of finite dimensional local algebras, which we call Knörrer invariant algebras. In the hypersurface case, we recover a special case of Knörrer's equivalence for (stable) categories of matrix factorisations. We'll then explain how this led us to study Ringel duality for certain (ultra strongly) quasi-hereditary algebras. This is similar to recent work of Conde. The talk is based on joint work with Joe Karmazyn.