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SUMMARY:Theory of Vector-Valued Modular Forms
DTSTART:20180530T161500
DTEND:20180530T171500
DTSTAMP:20260501T101147Z
UID:1b97ab85129c5e0b70e155143b0bc32f2904fa29937c10d5d5878912
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jitendra Bajpai (Georg-August-Universität Göttingen)\nModula
 r forms and their generalizations are one of the most central concepts in 
 number theory. It took almost 200 years to cultivate the mathematics lying
  behind the classical (i.e. scalar) modular forms. All of the famous modul
 ar forms (e.g. Dedekind eta function) involve a multiplier\, this multipli
 er is a 1-dimensional representation of the underlying group. This suggest
 s that a natural generalization will be matrix valued multipliers\, and th
 eir corresponding modular forms are called vector valued modular forms. Th
 ese are much richer mathematically and more general than the (scalar) modu
 lar forms. In this talk\, a story of vector valued modular forms for any g
 enus zero Fuchsian group of the first kind will be told. The connection be
 tween vector-valued modular forms and Fuchsian differential equations will
  be explained.
LOCATION:MA A3 30 https://plan.epfl.ch/?room=MAA330
STATUS:CONFIRMED
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