Combinatorics Seminar 2017


Speaker: Tomoyoshi Ibukiyama (伊吹山知義), Osaka University

Date: Wed, Jun 14, 2016

Time: 10:00 - 11:30

Venue: Room 1106

Title: Introduction to Siegel modular forms and automorphic differential operators: III

Abstract:

We will talk on some aspects of the theory of Siegel modular forms. We do not assume any prerequisite and start slowly from very beginning of the definition and hope to give an elementary guide to a part of the theory. After such preparation, we will talk (to some extent) on differential operators which preserves automorphy after restriction of the domains. They are interesting objects as they are as a theory of special functions, apart from a lot of deep applications in number theory. This contains a generalization of the classical Legendre polynomials to new special polynomials of many variables, explicit universal generating functions, orthogonal polynomials of many variables, and some holonomic systems of differential operators. We will talk some part of this theory, hoping that these are also interesting for wider audience.


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