Student Seminar
Speaker: Ankita Parashar, IIT Bombay
Host: Suman Kumar Sahoo
Title: From Symmetry to Representation theory
Time, day and date: 5:30:00 PM – 6:30:00 PM, Wednesday, August 05
Venue: Ramanujan Hall
Abstract: Symmetry appears everywhere in mathematics, from the rotations of a square and a sphere to the hidden structures behind Fourier analysis and number theory. Representation theory provides a powerful language to study these symmetries by translating groups into matrices and linear transformations. In this talk, we will explore how simple geometric symmetries lead to the idea of representations, and their surprising connections to Fourier series and modular forms, which are key objects in the two subjects: Fourier Analysis and Number theory.