Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, December 4, 2019.

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Questions regarding events or the calendar should be directed to Tori Corkery.
    November 2019          December 2019           January 2020
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Wednesday, December 4, 2019

4:00 pm in 245 Altgeld Hall,Wednesday, December 4, 2019

#### Geometry and arithmetic over finite fields

###### Ravi Donepudi

Abstract: We will discuss algebraic, geometric and combinatorial approaches in the study of curves over finite fields. Our goal will be to give the audience a survey of the basic tools, questions and results in this area. We will discuss topics such as: Counting points on curves, the Weil conjectures, Jacobians and the Torelli problem. We will attempt to demonstrate that there are a variety of problems in this field ranging from those requiring heavy tools from algebraic geometry to those that can be investigated by writing a few lines of computer code. No prior knowledge is assumed beyond a passing acquaintance with the field of integers modulo a prime.