Department of

# Mathematics

Seminar Calendar
for events the day of Friday, December 12, 2014.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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30


Friday, December 12, 2014

4:00 pm in 245 Altgeld Hall,Friday, December 12, 2014

#### Galois representations

###### David Savitt (University of Arizona)

Abstract: The absolute Galois group of the field of rational numbers is a fundamental object of study in number theory. I will begin by giving a tour of the representation theory of this group, with an emphasis on representations in characteristic p. In the second half of the talk I will describe my recent work with Gee, Liu, and others on generalizations of the weight part of Serre's conjecture on two-dimensional mod p Galois representations.