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Extra Form
강연자 이규환
소속 Univ. of Connecticut
date 2011-11-10

In this talk, we will consider the hyperbolic Kac-Moody algebra associated to a certain rank 3 Cartan matrix and generalized Kac-Moody algebras that contain the hyperbolic Kac-Moody algebra. The denominator funtions of the generalized Kac-Moody algebras are closely related to certain modular forms. We will compute asymptotic formulas for the Fourier coefficients of the modular forms using the method of Hardy-Ramanujan-Rademacher, and obtain an asymptotic bound for root multiplicities of the hyperbolic Kac-Moody algebra. This is a joint work with Henry Kim.

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