Tony Feng's website

Notes from the Rubinfest: L-functions and arithmetic

This page contains jottings from a conference held at Harvard in June 2016, in honor of Karl Rubin's 60th birthday. Mistakes and shortcomings are my fault, of course. (In particular, not all talks have notes.)

Day 1

John Coates, On the Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication
Bjorn Poonen, Selmer Group Heuristics
Chris Skinner, Special values of L-functions of elliptic curves and modular forms

Day 2

Joel Bellaiche, Image of big Galois representations and modular forms mod p
Melanie Wood, Non-abelian Cohen-Lenstra Heuristics and Function Field Theorems
Kiran Kedlaya, Endomorphism fields of abelian varieties

Day 3

Andrew Wiles, Properties of Compatible Systems
David Burns, On the theory of higher rank Euler and Kolyvagin systems
Massimo Bertolini, Beilinson-Kato and Beilinson-Flach elements in $p$-adic families I

Day 4

Henri Darmon, Beilinson-Kato and Beilinson-Flach elements in $p$-adic families II
Sarah Zerbes, New Euler Systems for Automorphic Galois Representations
Manjul Bhargava, A positive proportion of plane cubics fail/satisfy the Hasse principle