BIRS Workshop Lecture Videos
Hypergeometric functions and Hypergeometric abelian varieties Tu, Fang-Ting
For a hypergeometric abelian variety, we can express the number of it rational points over finite fields in terms of the so-called hypergeometric functions over finite fields, which gives us the information on the corresponding local zeta function. Based on this relationship, we will talk about some interesting results on certain hypergeometric abelain varieties such as generalized Legendre curves and their higher dimensional analogues.
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