Wintersemester 2022

13:15 - 14:00 Luca Remke „Ko-Higgsbündel auf projektiven Räumen“

15:45 - 16:30 Anda Degeratu „Geometrical McKay Correspondence“
16:45 - 17:30 Linda Hoyer (RWTH Aachen) „Orthogonal determinants “

10:00 - 11:00 Maxim Smirnov (Universität Augsburg) „Residual categories for Grassmannians“

Exceptional collections in derived categories of coherent sheaves have a long history going back to the pioneering work of A. Beilinson. After recalling the general setup, I will concentrate on some recent developments inspired by the homological mirror symmetry. Namely, I will define residual categories of Lefschetz decompositions and discuss a conjectural relation between the structure of quantum cohomology and residual categories. I will illustrate this relationship in the case of some isotropic Grassmannians. The talk is based on the joint work with Alexander Kuznetsov.

16:15-17:45 Maxim Smirnov (Universität Augsburg) „Quantum cohomology of coadjoint varieties“

Quantum cohomology is defined by deforming the usual cup-product using the genus zero Gromov-Witten invariants. We’ll begin with a background on quantum cohomology and its role in mirror symmetry. Then we will discuss properties of quantum cohomology, both small and big, of coadjoint varieties of simple algebraic groups. If time permits, we’ll make predictions on the structure of the derived category of coherent sheaves of coadjoint varieties. The talk is based on the joint work with Nicolas Perrin.

SWAG Wimtersemester 2022

15:45 - 16:30 Frederik Witt „Exceptional sequences of line bundles on toric varieties of Picard rank 2“

13:30 - 14:15 Kathrin Hertäg „Critical Brain Hypothesis from a Mathematical Point of View“