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Mathematics Colloquium
2014 - 2015

Thursday, January 22, 2015
3:00 p.m.  //  151 Sloan
Mohammed Abouzaid (Columbia) - Family Floer cohomology and mirror symmetry

Abstract: The idea of studying Floer cohomology for families of Lagrangians was suggested by Kontsevich and Fukaya as a strategy for unifying the homological and geometric approaches to mirror symmetry.

I will explain the heuristics, the major technical problems that have prevented progress, and some recent results resolving these problems.

Finally, with generalisations to the non-commutative setting in mind, I will explain a new approach to the study of Family Floer cohomology which focuses on functions instead of points.

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