Pure Maths Colloquium: Differential operators on Siegel modular forms and its various applications
16 September 2013 14:00 in CM221
I will give a survey on the theory of differential operators on holomorphic
Siegel modular forms which behaves well under the restriction of the domain.
Such operators have the following applications.
(1) Construction of modular forms and determination of their structures.
(2) Explicit calculations of the critical values of L functions and applications.
(3) Theory of special functions such as orthogonal polynomials and new holonomic systems.
I will explain some of them.
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