Conference abstracts
Session S03 - Hopf Algebras
July 26, 16:30 ~ 16:55
Noncommutative discriminants via Poisson primes
Milen Yakimov
Louisiana State University, USA - yakimov@math.lsu.edu
Discriminants play a key role in various settings in algebraic number theory, algebraic geometry, combinatorics, and noncommutative algebra. In the last case, they have been computed for very few algebras. We will present a general method for computing discriminants of noncommutative algebras which is applicable to algebras obtained by specialization from families, such as quantum algebras at roots of unity. It builds a connection with Poisson geometry and expresses the discriminants as products of Poisson primes.
Joint work with Bach Nguyen and Kurt Trampel (Louisiana State University).