题目：Hypergeometric functions in heat coefficients

报告人：Dr. Yang Liu (MPIM）

时间：7月9号（周二）下午2:30-4:00

地点：东区第五教学楼5107教室

摘要：In this talk, I would like to report some recent progress which relates (pseudo) differential calculus with respect to noncommutative variables to hypergeometric functions. Such calculus serves as the analytic backbone of the conformal geometry on noncommutative two tori initiated in Connes and Moscovici's 2014 JAMS paper. The essential difficulty behind the computation is the noncommutativity between the coordinates and their derivatives.  Hypergeometric functions arise in some rearrangement process in the computation of the heat kernel asymptotic. The main result is a full set of recurrence relations among the hypergeometric family which allows us to obtain their explicit expressions. More geometric applications will be disused if time permits.

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