【115/6/11】15:20-16:10 Prof. Wen-Ching Winnie Li (Pennsylvania State University)
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| Time | 2026-6-11 15:20-16:10 |
| Venue | 31106, Department of Mathematics |
| Speaker | Prof. Wen-Ching Winnie Li (Pennsylvania State University) |
| Title | Various Aspects of Hypergeometric Functions |
| Abstract | The classical hypergeometric functions are studied from analytic viewpoint, as solutions to linear differential equations. They have close ties to modular forms. Their algebraic counterpart, known as hypergeometric Galois representations, was introduced by Katz. These Galois representations have their Frobenius traces given by hypergeometric character sums, which are finite field analog of the classical hypergeometric functions. Furthermore, since the Katz representations are geometric, they are expected to be automorphic by Langlands philosophy. In this survey talk we'll explain the connection between analytic and algebraic aspects, and discuss automorphy results for low degree hypergeometric Galois representations. This talk is based on a joint work with Tong Liu and Ling Long. |
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