Workshop: Counting arithmetic objects (Ranks of elliptic curves)

November 10-14, 2014

Program

 

Monday, November 10, 2014

09:00 - 09:30
Registration (Room 5345) and Coffee (Room 6245)


Meeting room(s) : 6254

09:30 - 10:30
Manjul Bhargava
(Princeton University)
Arithmetic invariants of elliptic curves, on average - I
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Eric Urban
(Columbia University)
Iwasawa theory and ranks of elliptic curves and Selmer groups - I
12:00 - 14:30
Lunch break
14:30 - 15:30
Eric Urban
(Columbia University)
Iwasawa theory and ranks of elliptic curves and Selmer groups - II
15:30 - 16:00
Coffee break
Room(s) 6245
16:00 - 17:00
Manjul Bhargava
(Princeton University)
Arithmetic invariants of elliptic curves, on average - II

 

Tuesday, November 11, 2014

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Meeting room(s) : 6254

09:30 - 10:30
Wei Ho
(University of Michigan)
Asymptotics and averages for families of elliptic curves with marked points
Abstract
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
John Voight
(Dartmouth College)
Experiments with Arakelov class groups and ranks of elliptic curves
Abstract
12:00 - 14:00
Lunch break
14:00 - 15:00
Alison Miller
(Harvard University)
Counting simple knots via arithmetic invariant theory
Abstract
15:00 - 15:30
Coffee break
Room(s) 6245
15:30 - 16:30
Xiaoheng Jerry Wang
(Princeton University)
Arithmetic statistic over global fields
Abstract
16:30 - 17:00
Coffee break
Room(s) 6245
17:00 - 18:00
Frank Thorne
(University of South Carolina)
Singular exponential sums associated to prehomogeneous vector spaces over finite fields
Abstract

18:00
Wine-and-cheese reception
Room(s) 6245

 

Wednesday, November 12, 2014

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Meeting room(s) : 6254

09:30 - 10:30
Massimo Bertolini
(Universität Duisburg-Essen)
Euler systems and Jochnowitz congruences
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Ernest Hunter Brooks
(EPFL)
Special values of Rankin-Selberg-type p-adic L-functions
Abstract
12:00 - 14:30
Lunch break
14:30 - 15:30
Wei Zhang
(Columbia University)
Kolyvagin's conjecture on Heegner points
Abstract
15:30 - 16:00
Coffee break
Room(s) 6245
16:00 - 17:00
Rodolfo Venerucci
(Universität Duisburg-Essen)
On the p-converse of the Kolyvagin-Gross-Zagier theorem
Abstract

 

Thursday, November 13, 2014

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Meeting room(s) : 6254

09:30 - 10:30
Xin Wan
(Columbia University)
Iwasawa main conjecture for Rankin–Selberg p-adic L-functions
Abstract
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Chao Li
(Harvard University)
Level raising mod 2 and arbitrary 2-Selmer ranks
Abstract
12:00 - 14:30
Lunch break
14:30 - 15:30
Yifeng Liu
(MIT)
p-adic Waldspurger formula and Heegner points
Abstract

15:30 - 16:00
Coffee break
Room(s) 6245

Session - Colloque des sciences mathématiques du Québec
Meeting room(s) : 1360

16:00 - 17:00
Kartik Prasanna
(University of Michigan)
Recent advances in the arithmetic of elliptic curves
Abstract

 

Friday, November 14, 2014

08:30 - 09:00
Coffee & Croissants
Room(s) 6245


Meeting room(s) : 6254

09:00 - 10:00
Vladimir Dokchitser
(University of Warwick)
Parity of ranks of elliptic curves
Abstract
10:00 - 10:30
Coffee break
Room(s) 6245
10:30 - 11:30
Arul Shankar
(Harvard University)
The average size of the 5-Selmer group of elliptic curves
Abstract
11:30 - 12:00
Coffee break
Room(s) 6245
12:00 - 13:00
Bjorn Poonen
(MIT, E18-428)
Heuristics for boundedness of ranks of elliptic curves
Abstract