Chern classes of vector bundles
Adrian Langer (Institute of Mathematics, University of Warsaw, Poland)
Abstract: I will talk about various restrictions on Chern classes of vector bundles on algebraic varieties. One of the most important is Bogomolov's inequality saying that the degree of the discriminant of a semistable vector bundle on a smooth complex algebraic variety is non-negative. The degree zero case essentially corresponds to flat vector bundles. There are also versions of this inequality for Higgs bundles and in positive characteristic. I will talk about some applications of Bogomolov's inequality and its possible variants in the Chow ring of the variety.
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.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |