|Title: Fun with Mac Lane valuations|
|Speaker: Andrew Obus of Baruch college, CUNY|
|Contact: David Zureick-Brown, firstname.lastname@example.org|
|Date: 2019-02-12 at 6:00PM|
|Venue: MSC W201|
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.
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