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.
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.