4:00 pm Thursday, March 8th, 2012

Mircea Mustata (University of Michigan)

Given a polynomial P with complex coefficients, a well-known invariant of the singularities of P is defined by looking at which negative powers of P are locally integrable. When P has integer coefficients, one can also define some algebraic invariants by working modulo various primes, and using the Frobenius morphism. In the talk I will describe the two types and invariants, and discuss some known and conjectural relations between them.