Eigenvarieties, families of Galois representations, p-adic L-functions
This course is intended to give a gentle introduction to p-adic families of modular forms and p-adic L-functions. We roughly cover the contents of "The Eigenbook" by Bellaiche. We will start by introducing a general construction of eigenvariety, and discuss modular symbols and their connection to modular forms. Then we will use the tools to construct the eigencurve and study families of Galois representations and p-adic L-functions it carries.
Lecturer
Date
24th February ~ 19th June, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday,Friday | 13:30 - 15:05 | A3-3-201 | ZOOM 03 | 242 742 6089 | BIMSA |
Prerequisite
Graduate-level commutative algebra, algebraic geometry, algebraic number theory; Basic background in modular forms and rigid analytic geometry
Syllabus
To be announced
Reference
1. "The Eigenbook" by Joel Bellaiche
2. https://sites.google.com/view/yong-suk-moons-webpage/teaching?authuser=0
2. https://sites.google.com/view/yong-suk-moons-webpage/teaching?authuser=0
Audience
Undergraduate
, Graduate
Video Public
No
Notes Public
No
Language
English
Lecturer Intro
Yong Suk Moon joined BIMSA in 2022 fall as an assistant professor. His research area is number theory and arithmetic geometry. More specifically, his current research focuses on p-adic Hodge theory, Fontaine-Mazur conjecture, and p-adic Langlands program. He completed his Ph.D at Harvard University in 2016, and was a Golomb visiting assistant professor at Purdue University (2016-19) and a postdoctoral researcher at University of Arizona (2019 - 22).