Date & Time: Thursday, January 15, 2015, 14:30-15:30.
Venue: Ramanujan Hall
Title: Siegel modular forms of degree 2: Fourier coefficients, L-functions, and functoriality
Speaker: Abhishek Saha, University of Bristol
Abstract: This will be for the most part a survey talk. I will define Siegel modular forms, their number theoretic significance, and explain the link between Siegel modular forms of degree 2 and automorphic representations of GSp(4). I will talk about the significance of their Fourier coefficients, and describe several known results and still unproven conjectures. I will also talk about certain lifts to and from spaces of Siegel modular forms that are special cases of Langlands' general conjectures.