题目：Analytic continuation of hypergeometric functions in the resonant case

报告人：Prof. Emanuel Scheidegger（北京大学）

Abstract：

We study the analytic continuation of solutions to the hypergeometric differential equation of order n to the third regular singularity, usually denoted z=1, with the help of recurrences of their Mellin-Barnes integral representations. In the resonant case, there are necessarily logarithmic solutions. We give closed-form expressions for the continuation matrix. Specializing to solutions of the 4th order Picard-Fuchs equations of certain one-parameter families of Calabi-Yau threefolds and using insights from Hodge theory and geometry, we will argue that some of its entries actually a nice number-theoretic interpretation.

时间：2020年1月7日（周二）上午10:30-11:30

地点：565net必赢客户端本部教二627教室

联系人：孙善忠

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