MATH Seminar
| Title: Finite Field Fourier Transforms in Arithmetic Statistics |
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| Algebra and Number Theory: Algebra |
| Speaker: Frank Thorne of University of South Carolina |
| Contact: Santiago Arango, santiago.arango@emory.edu |
| Date: 2024-10-08 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: In many arithmetic statistics problems, it is useful to evaluate or bound certain Fourier transforms over finite fields. I will give an overview of (1) how these Fourier transforms arise, (2) some strategies that my collaborators and I (and others!) have developed to analyze them, and (3) some surprising structures one finds.\\ \\ Some of this work is older, but I will focus on forthcoming work with Anderson and Bhargava in Bhargava's averaging method, and recently finished work with Ishitsuka, Taniguchi, and Xiao on binary quartic forms. |
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