Dec 21, 2023
Derived categories of singular varieties
Algebraic Geometry and Number Theory Seminar
Date: December 21, 2023 |
2:30 pm –
3:30 pm
Speaker:
Martin Kalck, University of Graz
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Language:
English
We will describe derived categories of some (singular) projective curves and surfaces. A particularly nice case are surfaces with cyclic quotient singularities with connections to the Markov Diophantine equation. We do not assume familiarity with derived categories. If time permits, we will discuss higher dimensional examples (where Lucas's Theorem describing binomial coefficients mod p helps to show that certain components of the derived category are "indecomposable") building on ongoing joint work with Yujiro Kawamata & Nebojsa Pavic.