NTSGrad Spring 2025/Abstracts

This page contains the titles and abstracts for talks scheduled in the Spring 2025 semester. To go back to the main GNTS page for the semester, click here.

1/28

Joey Yu Luo

Mahler integral and L-function

I will define Mahler integrals and L-funciton of elliptic curves, and discuss some conjectural identities between them. They are secretly prediected by the Beilinson-Bloch conjecture, but I will not dig into it.

2/18

Joey Yu Luo

Jacquet-Rallis Fundamental Lemma

Jacquet-Rallis Fundamental Lemma is some mysterious lattice counting equality in the p-adic field. In this talk, I will present the statement of the FL, relate them with orbit integrals, and if time permits, discuss the relating smooth transfer conjecfture(theorem) and arithmetic variants.