Seminar Talk by Prof. Jitendra Bajpai, University of Kiel, Germany on 25th July

Title: Theory of Vector-Valued Modular Forms

Speaker: Prof. Jitendra Bajpai, University of Kiel, Germany.

Date and time: 25th July 2024 at 11: 30 a.m

Abstract: Modular 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 modular forms (e.g. Dedekind eta function) involve a multiplier, this multiplier is a one-dimensional representation of the underlying group. This suggests a natural generalization to matrix-valued multipliers, leading to vector-valued modular forms. These are mathematically richer and more general than scalar modular forms. In this talk, we will explore the story of vector-valued modular forms and explain their connection to Fuchsian differential equations