Zonotopal algebras of graphs and their generalizations

Abstract: Workshop Kirillov–75. Combinatorics and Bethe ansatz. November 26–27

In the late 1990s motivated by a question of V.Arnold the speaker and M.Shapiro have studied the algebra generated by the curvature forms of the standard linear bundles over the space of complete flags in C^n. This was the first example of the so-called external zonotopal algebra associated to the complete graph K_n. Since then a number of modifications and generalizations of this algebra defined for all undirected graphs has been introduced. I will briefly survey the field many advances in which were inspired by suggestions and ideas of Anatol Kirillov.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.