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On Lefschetz exceptional collections and quantum cohomology of Grassmannians

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Maxim Smirnov
Universität Augsburg/MPI
Thu, 2017-11-30 15:00 - 16:00
MPIM Lecture Hall

Given a Lefschetz exceptional collection on a variety $X$ one defines its residual subcategory as
the orthogonal to the rectangular part of the collection. In this talk we will discuss some conjectural
relations between the quantum cohomology of $X$ and the structure of the residual subcategory
motivated by homological mirror symmetry. We give examples of this relation when $X$ is an ordinary
or a symplectic isotropic Grassmannian.

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