In this talk, we introduce an elliptic analogue of hypertoric varieties defined using a procedure similar to holomorphic symplectic reduction. We will also introduce a version of Hikita’s isomorphism relating the torus fixed loci in the deformation space of an elliptic hypertoric variety and the equivariant elliptic cohomology of the dual additive hypertoric variety. If time permits, we will also discuss the 2d mirror symmetry between elliptic hypertoric varieties and Dolbeault hypertoric manifolds originally defined by Hausel and Proudfoot. These are based on joint works with Conan Leung, and Ziming Ma.

This seminar is held on zoom:
meeting ID: 864 4086 0937
passcode: 152734