APS
Speaker: Indrashis Gain, IIT Bombay
Host: Keshav Aggarwal
Title: Hybrid subconvexity for L(1/2 + it, sym^2 f x g)
Time, day and date: 11:00:00 AM – 12:00:00 PM, Friday, September 04
Venue: Ramanujan Hall
Abstract: In this talk, we will briefly analyze the set-up to obtain a hybrid subconvexity bound for L(s,Sym^2 f x g) which is hybrid in the aspect of level of f and pure in the aspect of t . To achieve that, we will start with an explicit review of L(s,Sym^2 f) and obtain a bound which is subconvex in the t aspect and almost convex in the aspect of the level of f. Thereafter, we shall obtain the approximate functional equation of L(s,Sym^2 f x g) at s = 1/2 + it and analyze the sums of larger lengths using the Voronoi Summation Formula.