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Department of Mathematics,
University of California San Diego

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Final Defense

Brian Longo

UCSD

``Super-approximation" for absolutely almost simple groups over the field of rational functions with coefficients in a finite field

Abstract:

In recent years, there have been major breakthroughs on the topic of super-approximation for algebraic groups, which is a qualitative version of strong approximation. Super-approximation has proven to be incredibly useful in many areas of both pure and applied Mathematics. We discuss the difficulties of super-approximation in positive characteristic, as well as recent new results for absolutely almost simple groups over $k(t)$, where $k$ is a finite field.

Advisor: Alireza Salehi Golsefidy

May 9, 2016

12:00 PM

AP&M 7321

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