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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
Umbral and Penumbral Moonshine I
Speaker
Jeff Harvey   (Chicago University )
Date
2017-08-08 10:30:00
Host
KIAS
Place
8101
Abstract
I will give three lectures on new kinds of moonshine linking (mock) modular forms and the representation theory of finite groups. The first two lectures will give a brief historical overview and then discuss the various modular objects that enter into moonshine, namely modular functions, mock modular forms, Jacobi forms and skew-holomorphic Jacobi forms. They will also include a presentation of systems from physics where these objects play an important role. The final lecture will discuss umbral moonshine and present some new results involving skew-holomorphic Jacobi forms and moonshine for a variety of groups including the Thompson sporadic group and will discuss a connection between moonshine and traces of singular moduli.
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