Weight Interlacing and Iwasawa Theory by Shilin Lai

PROGRAM
ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID)

ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS)
DATE: 08 August 2022 to 19 August 2022
VENUE: Ramanujan Lecture Hall and online

The program plans to focus on recent developments in the arithmetic of Elliptic curves and special values of L-functions.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.

CONTACT US: [email protected]
PROGRAM LINK: https://www.icts.res.in/program/ecl2022

Table of Contents (powered by https://videoken.com)
0:00:00 Start
0:00:09 Weight interlacing and Iwasawa theory
0:00:21 Gan-Gross-Prasad conjecture
0:04:52 Local answer
0:09:15 Local answer: archimedean case
0:13:50 Local answer: archimedean case (cont.)
0:16:45 Combinatorial recipe (Atobe)
0:19:31 Global answer
0:26:44 Galois representation
0:31:56 Panchishkin condition
0:35:17 Selmer group
0:41:04 Iwasawa main conjecture
0:42:45 Global root number
0:43:53 Incoherent main conjecture
0:45:02 Wall crossing
0:47:13 Upshot
0:52:37 Weight interlacing
0:53:41 Heegner points
0:54:49 No Heegner points
0:55:53 n=2
1:01:14 Q&A