A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3.

Title: Categorical resolutions of cuspidal singularities

Speaker: Céline Fietz

Abstract: In this talk I will explain that there exists a particularly small (“crepant”) categorical resolution of the derived category of a projective variety with an isolated A_2/cuspidal singularity.

More importantly, one can describe generators of its kernel in a very explicit way: in the case of an even dimensional variety with an isolated A_2 singularity, the kernel can be generated by two 2-spherical objects, which are related to spinor sheaves on a nodal quadric and induce autoequivalences on the categorical resolution.

Some snacks will be provided before and after the talk.

Go to the seminar main page.

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