Infinite rank vector bundles and applications
Max Lieblich (University of Washington)
Abstract: This is a report on joint work with Johan de Jong and Minseon Shin. Grothendieck famously asked whether the Brauer group and cohomological Brauer group of a scheme coincide, a question which still lacks a good answer. Modern methods reduce this question to a question about the existence of non-zero vector bundles of finite rank on certain stacks. I will discuss what happens if one allows vector bundles of infinite rank, and how this infinite-rank version of the question is related to the resolution property for schemes. I will also discuss some basic questions about vector bundles of infinite rank on varieties, including the potential existence of some mysterious invariants.
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 |