Subconvexity, Orbit Method, and Microlocal Analysis

Introduction

We continue the seminar from Fall 2025. Having set up the necessary prerequisites of the Orbit Method and GGP, we now focus on applying them to various period bounds. These encompass the supnorm problem, Sarnak's density hypothesis and the subconvexity bound of automorphic forms.

References

Recent progresses on the subconvexity problem (Michel)
CIRM Lectures: Subconvexity of L-functions (Michel, Nelson)
The orbit method and analysis of automorphic forms (Nelson, Venkatesh)
The orbit method in number theory through the sup-norm problem for GL(2)
Bounds for standard L-functions (Nelson)

Schedule

Organisers: Aditya Ghosh, Alan Zhao, Austin Lei

Date: Spring 2026

Time: (tentative) 4 PM - 5 PM

Location: Room 507, Mathematics Hall

Topics Covered

Serial No.	Date	Speaker	Abstract	Notes
1	TBD	Aditya Ghosh	TBD	TBD

Contact Us

Aditya Ghosh: ag4794 (at) columbia (dot) edu

Alan Zhao: asz2115 (at) columbia (dot) edu

Austin Lei: ayl2158 (at) columbia (dot) edu