Tuesday, May 25, 14:00
Martin Kalck, A surface and a threefold with equivalent singularity
We start with an introduction to singularity categories and
equivalences between them.
In particular, we recall known results about singular
equivalences between commutative rings, which go back
to Knörrer, Yang, Kawamata and a joint work with Karmazyn.
Then we explain a new singular equivalence
between an affine surface and an affine threefold. This
seems to be the first (non-trivial) example of such an equivalence involving
rings of even and odd Krull dimension.