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Galois covers in positive characteristic

Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry February 10, 2014 - February 11, 2014

February 10, 2014 (09:15 AM PST - 10:15 AM PST)
Speaker(s): Rachel Pries (Colorado State University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


Abstract There are some interactions between model theory and Artin-Schreier extensions of fields. In this talk, I will discuss wildly ramified covers of curves in positive characteristic p. The presence of an automorphism of order p leads to significant constraints on arithmetic invariants of the Jacobian. I will also discuss results about deformations of wildly ramified covers of curves in positive characteristic.
20172?type=thumb Pries notes 236 KB application/pdf Download
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