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Hypergeometric functions over finite fields

  • Speaker: Ling Long (Louisiana State University)

  • Time: Jun 5, 2018, 16:20-17:20

  • Location: Conference Room 415, Wisdom Valley 3#

Abstract: Hypergeometric functions are special functions with lot of symmetries.  In this talk, we will introduce hypergeometric functions over finite fields, originally due to Greene, Katz and McCarthy, in a way that is parallel to the classical hypergeometric functions, and discuss their properties and applications to character sums and the arithmetic of hypergeometric abelian varieties. This is a joint work with Jenny Fuselier, Ravi Ramakrishna, Holly Swisher, and Fang-Ting Tu.

Most of the talk will be accessible to senior undergraduate students.