Computing the cohomology of constructible sheaves on curves
报告人:Christophe Levrat (Télécom Paris)
时间:2022-10-05 16:00-17:00
地点:Zoom
Abstract: Given a curve X over an algebraically closed field, and an integer n invertible on X, the cohomology groups of constructible sheaves of Z/nZ-modules on X are finite. In this talk, I will give a completely explicit description of the cohomology complex of (complexes of) such sheaves in the case where X is smooth or nodal, as well as a description of the cup-products in the cohomology of finite locally constant sheaves on X when X is furthermore projective. I will give a detailed example to show that one can actually compute this cohomology complex using tools which - in a few very specific cases - are already implemented in current computer algebra systems.
Zoom Information
Link: https://zoom.us/j/89572312907?pwd=b2plRXJuWlRiYUg4dlJXYkNqSjhMQT09
ID: 895-7231-2907
Password: 666910