Algebra and Geometry Seminar

Series: Algebra & Geometry Seminar Series

Integrality of mirror maps and arithmetic homological mirror symmetry

Sheel Ganatra, Department of Mathematics, USC,

I will explain joint work with Hanlon-Hicks-Pomerleano-Sheridan which proves that the "integrality of Taylor coefficients of mirror maps" conjecture follows from an arithmetic refinement of homological mirror symmetry (HMS). Our work also establishes this latter arithmetic HMS statement - and thereby the integrality conjecture - for Greene-Plesser mirror pairs.

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