# Manchester Algebra Seminar - Quest for D-Affinity

Dates: | 3 December 2019 |
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Times: | 14:00 - 15:00 |

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. .........................

Time: 2pm

Place: FA1

There will be tea and biscuits at 1:40. All are welcome.