**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.