Quantum cohomology of flag varieties via wonderful compactifications

Abstract: Peterson conjectured that quantum cohomlogy ring of G/T is isomorphic to the homology of the based loop space of G after localization. Lam and Shimozono proved the conjecture by combinatorial method. We studied the wrapped Floer theory of the complexification of G and used the geometry of its wonderful compactification to give a geometric proof of this result.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

Series comments: This is the free mathematics seminar. Free as in freedom. We use only free and open source software to run the seminar.

The link to each week's talk is sent to the members of the e-mail list. The registration link to this mailing list is available on the homepage of the seminar.