Workshop: New approaches in probabilistic and multiplicative number theory

December 8-12, 2014

Program

 

Monday, December 8, 2014

08:30 - 09:30
Registration (Room 5345) and Coffee & Croissants (Room 6245)

Session - Chaire André-Aisenstadt Chair
Meeting room(s) : 6254

09:30 - 10:10
Carl Pomerance
(Dartmouth College)
The ranges of some familiar functions
Abstract


Meeting room(s) : 6254

10:20 - 10:50
Adam James Harper
(University of Cambridge)
Additive problems for very smooth numbers
Abstract
10:50 - 11:20
Coffee break
Room(s) 6245
11:20 - 11:50
Andrew Granville
(Université de Montréal)
The distribution of maximal character sums
Abstract
12:00 - 12:30
Lillian Pierce
(Duke University)
Recent progress on Burgess bounds
Abstract
12:30 - 14:30
Lunch break
14:30 - 15:10
Gérald Tenenbaum
(Institut Élie Cartan)
The distribution of ultrafriable integers
Abstract
15:20 - 15:50
Maksym Radziwill
(Université de Montréal)
Sign changes of Hecke eigenvalues
Abstract
15:50 - 16:10
Coffee break
Room(s) 6245
16:10 - 16:40
Youness Lamzouri
(York University)
The distribution of the Riemann zeta function in the critical strip
Abstract

 

Tuesday, December 9, 2014

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


Meeting room(s) : 6254

09:30 - 10:10
Gérald Tenenbaum
(Institut Élie Cartan)
Concentration of and on divisors, a survey
Abstract
10:20 - 10:50
Daniel Fiorilli
(Université d'Ottawa)
Primes in arithmetic progressions and Vaughan’s approximation
Abstract
10:50 - 11:20
Coffee break
Room(s) 6245
11:20 - 11:50
Sourav Chatterjee
(Stanford University)
Nonlinear large deviations
Abstract
12:00 - 12:30
Cécile Dartyge
(Université de Lorraine)
On the greatest prime factor of the twelfth cyclotomic polynomial
Abstract
12:30 - 14:30
Lunch break
14:30 - 15:10
Kannan Soundararajan
(Stanford University)
Zeros and moments of $L$-functions, I
Abstract
15:20 - 15:50
Greg Martin
(University of British Columbia)
Inclusive prime number races
Abstract
15:50 - 16:10
Coffee break
Room(s) 6245
16:10 - 16:40
Florian Luca
(University of the Witwatersrand)
On the counting function of the range of the Carmichael $lambda$-function
Abstract

 

Wednesday, December 10, 2014

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


Meeting room(s) : 6254

09:30 - 10:10
Kannan Soundararajan
(Stanford University)
Zeros and moments of $L$-functions, II
Abstract
10:20 - 10:50
Kaisa Matomäki
(University of Turku)
Multiplicative functions in short intervals and applications
Abstract
10:50 - 11:20
Coffee break
Room(s) 6245
11:20 - 11:50
John Friedlander
(University of Toronto)
12:00 - 12:30
Paul Bourgade
(New York University)
Strong Szegö asymptotics for the Riemann zeta function
Abstract

Free afternoon

19:00
Banquet

 

Thursday, December 11, 2014

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


Meeting room(s) : 6254

09:30 - 10:10
Gérald Tenenbaum
(Institut Élie Cartan)
On the core of an integer
Abstract
10:20 - 10:50
Robin Pemantle
(University of Pennsylvania)
Permutations and sumsets of a random Poisson-Zipf set
Abstract
10:50 - 11:20
Coffee break
Room(s) 6245
11:20 - 11:50
Chantal David
(Concordia University)
The distribution of elliptic curves over finite fields
Abstract
12:00 - 12:30
Leo Goldmakher
(Williams College)
Long character sums and the least nonresidue
Abstract
12:30 - 14:30
Lunch break
14:30 - 15:00
James Maynard
(University of Oxford)
Large gaps between primes
Abstract
15:10 - 15:40
Sary Drappeau
(Université de Montréal)
Friable numbers and the dispersion method
Abstract

15:40 - 16:00
Coffee break
Room(s) 6245

Session - Chaire André-Aisenstadt Chair
Meeting room(s) : Pavillon Claire-McNicoll, salle Z-220

16:00 - 16:50
Carl Pomerance
(Dartmouth College)
The first function
Abstract

17:00
Reception
Room(s) 6245

 

Friday, December 12, 2014

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

Session - Chaire André-Aisenstadt Chair
Meeting room(s) : 6254

09:30 - 10:10
Carl Pomerance
(Dartmouth College)
Amicable numbers
Abstract


Meeting room(s) : 6254

10:20 - 10:50
Paul Pollack
(University of Georgia)
Statistics associated with reductions of elliptic curves modulo $p$
Abstract
10:50 - 11:20
Coffee break
Room(s) 6245
11:20 - 11:50
Régis de la Bretèche
(Université Paris Diderot)
The distribution of friable integers is definitely not smooth
Abstract
12:00 - 12:30
Jean-Marie De Koninck
(Université Laval)
On the powerful and squarefree parts of an integer
Abstract
12:30 - 14:30
Lunch break
14:30 - 15:10
Kannan Soundararajan
(Stanford University)
Zeros and moments of $L$-functions, III
Abstract
15:20 - 15:50
Hugh Montgomery
(University of Michigan)
Extreme values of the zeta function at critical points
Abstract