Giovedi’ 07 Dicembre 2017 alle ORE 14:30 presso il Dipartimento di Matematica e Fisica dell’Universita’ degli Studi Roma Tre – Largo San Leonardo Murialdo,1 – Pal.C – AULA 211 – Soheyla Feyzbakhsh (University of Edinburgh) terrà il seguente seminario di Geometria:
Reconstructing a K3 surface from a curve via wall-crossing
Abstract. Mukai has introduced a geometric program to reconstruct a K3 surface from a curve on that surface. The idea is to first consider a Brill-Noether locus of vector bundles on the curve. Then the K3 surface containing the curve can be obtained uniquely as a Fourier-Mukai partner of the Brill-Noether locus. In this talk, I will explain how wall-crossing with respect to Bridgeland stability conditions implies that the Mukai’s strategy works for curves of genus greater than 12 or genus 11.