Algebraic geometry online seminar on K3 surfaces
anobile
anobile at sissa.it
Wed Apr 29 16:27:20 CEST 2020
ONLINE SEMINAR ANNOUNCEMENT/REMINDER
Dear all, this is a reminder for the sixth seminar on K3 surfaces.
Speaker: Warren
Cattani (SISSA)
Title: Derived
automorphisms and singular cohomology
Abstract: We
will show how to construct an isomorphism in singular cohomology
starting from an exact equivalence of the bounded derived
category. This will serve as an excuse to see some basic
computations with Fourier-Mukai transforms, Chern characters and
Grothendieck-Riemann-Roch.
After that, we will show that some structure of the cohomology
ring are preserved and state a theorem of Huybrechts, Macrì and
Stellari (2009) characterizing automorphisms in cohomology
coming from derived equivalences.
If time allows, we plan to give some explicit computations and
attention to a class of "very K3” derived equivalences,
spherical twists, whose square is cohomologically trivial.
The seminar broadly follows Chapter 16 of "Lectures on K3
surfaces" of Huybrechts.
When: Friday 1st
May, at 16:00
Join Zoom Meeting
https://us04web.zoom.us/j/71337938757?pwd=OTZqRi84dDlEMi9nTFphT2tZZDNFdz09
Password: 010431
Everyone is
welcome to attend!
Best,
Alessandro Nobilefor the organising committee
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