Manchester Algebra Seminar - Quest for D-Affinity
|Starts:||14:00 3 Dec 2019|
|Ends:||15:00 3 Dec 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, Current University students|
Speaker: Dmitriy Rumynin (Warwick)
TITLE: Quest for D-Affinity.
ABSTRACT: I am interested in the following problem: "classify all smooth connected D-affine projective varieties". As a part of their proof of Kazhdan-Lusztig Conjecture, Beilinson and Bernstein have proved that the partial flag varieties G/P are D-affine. This is the current state of art: no other examples are known but there is no proof that the G/P-s exhaust all the possible examples.
In my talk I will show that in some natural classes of varieties D-affinity implies that the variety is G/P, review some examples of more general D-affine spaces, and try to convince the listeners that the problem is related to some other interesting questions in Algebraic Geometry.
There will be tea and biscuits at 1:40. All are welcome.
Travel and Contact Information
Frank Adams 1 (FA1)
Alan Turing Building