Conference abstracts

Session S03 - Hopf Algebras

July 26, 16:30 ~ 16:55

Noncommutative discriminants via Poisson primes

Milen Yakimov

Louisiana State University, USA   -

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).

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