Number Theory Seminar

Speaker: Somnath Jha, IIT Kanpur

Time & Date: 2.30 pm, Monday, 26 December 2022

Venue: Ramanujan Hall

Title: Title: n-Selmer group of elliptic curves over number fields

Abstract: The recent work of Bhargava et al., Mazur-Rubin and others on the n-Selmer group of an elliptic curve has made a significant impact on the arithmetic of the elliptic curve. Let E be an elliptic curve over Q with a rational 3-isogeny. In this talk, we will discuss the 3-Selmer group of E. We will indicate some applications to a classical Diophantine problem related to rational cube sum. This talk is based on a joint work with D. Majumdar and P. Shingavekar.

Number Theory Seminar 

Speaker: Kartik Prasanna, University of Michigan

Time & Date: 4 pm, Monday, 26 December 2022

Venue: Ramanujan Hall

Title: Motivic realizations of functoriality

Abstract: Langlands functoriality predicts relations between automorphic forms on different groups. I will discuss in some examples how functoriality interacts with the theory of motives.