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Algebraic Geometry Seminar

Semi-orthogonal decompositions (SOD) of moduli spaces
Wednesday, September 28, 2022
4:00-5:30 PM
4096 East Hall Map
I will discuss strategies for combining categorical and geometric techniques to decompose derived categories of coherent sheaves into semi-orthogonal indecomposable blocks focussing on two classical moduli spaces. For the moduli space of stable rank 2 vector bundles on a smooth projective curve, jointly with Sebastian Torres, we construct an SOD with blocks given by symmetric powers of the curve, confirming a conjecture of Narasimhan and Belmans-Galkin-Mukhopadhyay. For the moduli space of stable pointed curves of genus 0, jointly with Ana-Maria Castravet, we construct an exceptional collection invariant under the symmetric group of permutations of marked points, proving a conjecture of Manin and Orlov. Speaker(s): Jenia Tevelev (UMass, Amherst)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics