EVENT DETAILS AND ABSTRACT

Title: Some invariants of singularities in birational geometry - "Invariants of singularities: characteristic 0 versus positive characteristic"
Speaker: Mircea Mustata
Speaker Info: University of Michigan
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Special Note:
Abstract:

I will discuss different points of view on invariants of singularities of algebraic varieties, connections between them, and applications.

Lecture 1: A fundamental invariant in characteristic 0 is the complex integrability exponent: this can be defined in terms of integrability conditions, but it admits several other interpretations. In positive characteristic, a different invariant can be defined by making use of the Frobenius map. It is more elementary to define, but it encodes subtle arithmetic information. I will discuss results and conjectures relating the two invariants.