MATH Seminar

Title: Fun with Mac Lane valuations
Seminar: Algebra
Speaker: Andrew Obus of Baruch college, CUNY
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2019-02-12 at 6:00PM
Venue: MSC W201
Abstract:
Mac Lane's technique of inductive valuations" is over 80 years old, but has only recently been used to attack problems about arithmetic surfaces. We will give an explicit, hands-on introduction to the theory, requiring little background beyond the definition of a non-archimedean valuation. We will then outline how this theory is helpful for resolving weak wild" quotient singularities of arithmetic surfaces, as well as for proving conductor-discriminant inequalities for higher genus curves. The first project is joint work with Stefan Wewers, and the second is joint work with Padmavathi Srinivasan.