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Algebra and Geometry Seminar

Monday, February 28, 2022
4:00pm to 5:00pm
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Linde Hall 387
Sectorial descent for wrapped Fukaya categories and applications to mirror symmetry
Sheel Ganatra, Department of Mathematics, USC,

I will describe a package of structural results (joint with Pardon-Shende) for computing partially wrapped Fukaya categories of Weinstein manifolds and sectors, culminating in a descent formula for such categories with respect to so-called "(Weinstein) sectorial" coverings. I will also discuss what is known about finding such coverings from different types of input data, with an emphasis on examples. A particularly interesting case (based on works in progress with Auroux-Hanlon-Jeffs and Hanlon-Hicks-Ward) is when the relevant input data comes from a geometric mirror construction, in which case the associated coverings and descent formulae can be used to give a local-to-global understanding of mirror symmetry.

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