Undoing toric degenerations: an analogue of Greene-Plesser mirror symmetry for the Grassmannian

Elana Kalashnikov (Harvard University)

02-Nov-2021, 17:00-18:00 (2 years ago)

Abstract: The most basic construction of mirror symmetry compares the Calabi–Yau hypersurfaces of projective space and projective space quotient a finite group G. There is a natural analogue of this finite group action on the Grassmannian Gr(n, r). In this talk, I'll explain how toric degenerations, blow-ups, variation of GIT and mirror symmetry relate the Calabi–Yau hypersurfaces of Gr(n,r) and Gr(n,r)/G. This is joint work with Tom Coates and Charles Doran.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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