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学术科研

Geometry & Topology Seminar

Periods and quasiperiods of modular forms

演讲者：Emanuel Scheidegger（北京国际数学中心）
时间：2019-12-12 18:00-19:00
地点：慧园3栋 415报告厅

Abstract

Weakly hoiomorphic forms play an important role in various areas of mathematics, the prominent example being the j-invariant. After reviewing the basic properties of holomorphic modular forms, we discuss the analogous statements for weakly holomorphic modular forms. Then we extend the notion of periods of modular forms to the weakly holomorphic setting where they become quasiperiods. This leads in a natural way to a Hodge structure. Finally, we will look for these Hodge structures in geometry.