Presented by: 
Anatol Kirillov (Kyoto University)
Mon 14 Oct, 2:00 pm - 2:45 pm
Otto Hirschfeld Building 81-214

I define a certain class of quadratic algebras together with a set of mutually commuting elements inside each. Main problem I want to discuss: to describe relations among generators of the commutative subalgebras introduced. Depending on a representation of ambient noncommutative algebra, we will get different cohomology theories, including classical and quantum, of complete flag varieties. Another class of representations closely related with the theory of hypergeometric functions.