Lecture on Langlands Functoriality Conjecture

TL;DR

This paper provides a survey of recent applications of the Langlands functoriality conjecture, highlighting progress made by researchers as presented in a lecture at Kyoto University.

Contribution

It compiles recent developments and applications of Langlands functoriality, serving as a comprehensive overview of current research in the area.

Findings

Summarizes recent applications of Langlands functoriality.

Highlights progress made by researchers in the field.

Provides insights from a lecture at Kyoto University.

Abstract

This is a survey lecture note on the applications of Langlands functoriality which were obtained recently by some people at the Langalnds school. This lecture was delivered at the Department of Mathematics, Kyoto University, Japan on June 30 (Tuesday), 2009.