Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Dmitriy Rumynin
Affiliation:

University of Warwick/MPIM
Date:

Tue, 2018-11-06 14:00 - 15:00 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 three 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.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/5312