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] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/YRSM2017
[4] https://www.mpim-bonn.mpg.de/node/158