Hypergeometric functions over finite fields

Jenny Fuselier

December 4, 4-5 pm. Manchester 124.

In this talk, we introduce hypergeometric functions over finite fields, originally due to Greene, Katz, and McCarthy. We provide an overview of these functions and then highlight ways they relate to point-counting, traces of Hecke operators, and supercongruences. We also present a systematic approach for translating some classical hypergeometric identities and evaluations to the finite field setting by an explicit dictionary.

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Last modified: Monday, 18-Nov-2019 14:23:25 EST