Description
Abstract: The automorphic representations are one of the most important objects in modern number theory, and a powerful approach is to study them by analytic means, through their associated $L$-functions. The values of such $L$-functions are particularly important on the critical line $\Re(s) = 1/2$, and bounding such values is known as the subconvexity problem.
In this talk I will present a recent result, fruit of a joint work with Mehmet Kiral and Chan Ieong Kuan. We provide a subconvex bound in the case of $GL(3)$ automorphic forms twisted by a character $\chi$, in the hybrid $(t,\chi)$ aspect.
Our approach is based on Munshi's automorphic circle method, and this talk will emphasize on the general strategy as well as the crucial points of the argument.
The link for the talk is https://zoom.us/j/94752830725, the password is the order of $\mathrm{SL}_2(\mathbb{F}_{97})$.