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: The crepant resolution conjecture

Speaker: Bogdan Simeonov

Abstract: It was observed by physicists in the late 90s that the geometry of some slightly singular spaces, for example global quotients by a finite group, is related to the geometry of a minimal resolution called a crepant resolution. These singular spaces are referred to as orbifolds and the crepant resolution conjecture predicts that the Gromov-Witten invariants of orbifolds and their resolutions agree. Throughout the talk, I will explain how to define quantum cohomology of orbifolds and give some examples, as well as some perspectives coming from symplectic geometry.

Some snacks will be provided before and after the talk.

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