On the Beauville-Bogomolov decomposition in positive characteristic

Abstract: Abstract: I will present a joint with Maciej Zdanowicz towards a positive characteristic version of the Beauville-Bogomolov decomposition. Over the complex numbers this decomposition was shown using differential geometry methods in the 70's and in the 80's. It concerns varieties with trivial canonical bundle, which we call K-trivial here. The main statement over the complex number is that smooth projective K-trivial varieties admit an etale cover which splits as a product of three types of varieties: abelian, Calabi-Yau and symplectic. I will present a similar statement in positive characteristic for (weakly) ordinary K-trivial varieties, the proof of which uses purely positive characteristic methods.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar

Times vary to accommodate speakers time zones but times will be announced in GMT time.