Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Maxim Smirnov
Affiliation:

Universität Augsburg/MPI
Date:

Thu, 2017-11-30 15:00 - 16:00 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017