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Caltech

Algebra and Geometry Seminar

Thursday, February 15, 2024
3:45pm to 5:00pm
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Linde Hall 187
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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].