The third Montreal-Toronto
Workshop in Number Theory is devoted to new developments in analytic number
theory, in particular additive combinatorics, sieve methods and automorphic
forms.
The aim of this workshop is to bring together senior faculty, junior faculty,
postdocs and graduate students to share their expertise in various areas of
analytic number theory. This is the third edition of the Montreal-Toronto
workshop series in number theory. The focus of the meeting is on modern tools
in analytic number theory and its interplay with other areas described above
including automorphic forms, applications of analytic methods to algebraic
geometry, advanced sieve methods and prime number theory, as well as the anatomy
of integers.
The programme is expected to include both introductory lectures and research
talks. This should be a particularly useful learning experience for graduate
students.
This schedule will provide a good mix of formal talks and informal
discussions during breaks.
Funding for these events is provided by the CRM and Fields Institutes.
| Friday, October 7 |
| 3:00 - 3:15 |
Welcome |
| 3:15 - 3:45 |
Leo Goldmakher (University of Toronto)
The distribution of character sums |
| 3:50 - 4:10 |
Mariah Hamel (University of Georgia)
Polynomial differences in subsets of the integers |
| 4:15 - 4:45 |
Greg Martin (University of British Columbia)
Linear independence of zeros of Dirichlet
L-functions |
| 4:45 - 5:10 |
Coffee Break |
| 5:10 - 6:10 |
Enrico Bombieri (Institute for Advanced Study, Princeton
University)
Around the Davenport--Heilbronn function |
| Saturday, October 8 |
| 9:00 - 9:30 |
Coffee |
| 9:30 - 10:30 |
Henryk Iwaniec (Rutgers University)
The Spin of Prime Ideals |
| 10:30 - 10:50 |
Coffee Break |
| 10:50 - 11:20 |
Matilde Lalin (Université de
Montréal)
Unimodularity of roots of self-inversive polynomials |
| 11:25 - 12:10 |
Cem Yalçin Yildirim (Bogaziçi
University)
Correlations of zeta zeros with some sequences |
| 12:10 - 2:00 |
Lunch |
| 2:00 - 2:45 |
Dan Goldston (San Jose State Univesity)
Differences between Consecutive Primes and the Hardy-Littlewood Prime
Tuple Conjecture |
| 2:50 - 3:20 |
Angel Kumchev (Townson University)
Sums of almost equal squares of primes |
| 3:25 - 3:45 |
Ethan Smith (Université de Montréal)
Elliptic curves with a given group structure modulo p |
| 3:45 - 4:15 |
Coffee Break |
| 4:15 - 4:35 |
Shabnam Akthari (Université de Montréal)
The hypergeometric method of Thue and Siegel |
| 4:40 - 5:00 |
Vorrapan Chandee (Stanford University)
Bounding S(t) via extremal functions |
| 5:10 - 5:55 |
Steve Gonek (University of Rochester)
Large Zeros of a Family of Approximations of the Riemann Zeta-Function |
| Sunday, October 9 |
| 9:30 - 10:00 |
Roman Holowinksy (The Ohio State University)
Hybrid subconvexity bounds for L-functions |
| 10:05 - 10:25 |
Ke Gong (CRM, Université de Montréal)
Partial Gaussian sums in finite fields |
| 10:25 - 10:45 |
Coffee Break |
| 10:45 - 11:15 |
Andrew Granville (Université de Montréal)
The latest pretentiousness |
| 11:20 - 11:40 |
Mathew Rogers (University of Illinois)
Boyd's Mahler measure conjectures |
| 11:45 - 11:50 |
Elena Deza (Moscow State Pedagogical University)
FIGURATE NUMBERS: presentation of a book (slides) |
| 12:00 - 1:40 |
Lunch |
| 1:40 - 2:10 |
Valentin Blomer ( University of Toronto)
Counting rational points on a cubic surface
|
| 2:15 - 3:00 |
Ram Murty (Queen's University)
The Uncertainty Principle and a Theorem of Tao |
