Analytic Number Theory

Organizer: Enrico Bombieri and Henryk Iwaniec
Date: April 12, 2000 - April 15, 2000
Location:

Seminar Room
Mathematics Building
Institute for Advanced Study
Olden Lane
Princeton, New Jersey

Confirmed Participants

Jean Bourgain Institute for Advanced Study
Fernando Chamizo Universidad Autonoma de Madrid
William Duke Rutgers University
John Friedlander IAS/University of Toronto
Andrew Granville University of Georgia
David Heath Brown, Oxford University
Dennis Hejhal IAS/Uppsala University/University of Minnesota
Jerzy Kaczorowski Collegium im. Adama Mickiewicza
Philippe Michel IAS/Universite Montpellier II
Yoichi Motohashi Nihon University
Ken Ono Penn State University
Alberto Perelli IAS/University of Genova, Italy
Fernando Rodriguez Villegas - University of Texas at Austin
Peter Sarnak IAS/Princeton University
Joseph Silverman Brown University
Kannan Soundararajan IAS/American Institute of Mathematics

Agenda

Wednesday, April 12

10 am - 11 Peter Sarnak, IAS/Princeton University Title to be announced
11:10 - 12:10 Philippe Michel, IAS/Université Montpellier II, France Title to be announced
12:10 - 2 LUNCH, Institute Dining Hall
2 - 3 Kannan Soundararajan, IAS/Princeton University Real Zeros of Quadratic Dirichlet L-Functions.
3 - 3:30 REFRESHMENT BREAK, Fuld Hall Common Room
3:30 - 4:30 Jean Bourgain, Institute for Advanced Study Title to be announced

Thursday, April 13

10 am - 11 Fernando Gouvea, Colby College Title to be announced
11:10 - 12:10 William Duke, Rutgers University "The Splitting of Primes in Division Fields of Elliptic Curves."
12:10 - 2 LUNCH, Institute Dining Hall
2 - 3 Fernando Rodriguez-Villegas, University of Texas - Austin Title to be announced
3 - 3:30 REFRESHMENT BREAK, Fuld Hall Common Room
3:30 - 4:30 Ken Ono, Penn State University "Tate-Shafarevich Groups and Ranks of Quadratic Twists of Elliptic Curves."
4:30 - 5:30 30 Joseph Silverman, Brown University "Canonical Heights on Elliptic Curves: An Analytic Perspective."

Friday, April 14

10 am - 11 Andrew Granville, University of Georgia Title to be announced
11:10 - 12:10 D. Roger Heath-Brown, Oxford University "Counting Rational Points on Curves and Surfaces."
12:10 - 2 2 LUNCH, Institute Dining Hall
2 - 3 3 Dennis Hejhal, IAS/Uppsala Univ./Univ. of Minnesota. Title to be announced
3 - 3:30 REFRESHMENT BREAK, Fuld Hall Common Room
3:30 - 4:30 Yoichi Motohashi, Nihon University "Explicit Formulas for Mean Values of a Class of Zeta-Functions
4:30 - 5:30 Fernando Chamizo, Universidad Autonoma de Madrid "The Hyperbolic Circle Problem and its Applications."

Saturday, April 15

10 am - 11 Jerzy Kaczorowski, Collegium im. Adama Mickiewicza "On Degree Conjecture in the Selberg Class."
11:10 - 12:10 10 Alberto Perelli, IAS/University of Genova, Italy Title to be announced
12:10 - - LUNCH, Institute Dining Hall

 

Workshop concludes

This year, 1999 - 2000, the School of Mathematics of the Institute for Advanced Study is having a special program on automorphic forms and L-functions with emphasis on analytic methods. Moreover, other aspects of classical and modern number theory, such as equidistribution, exponential and character sums over varieties and elliptic curves have also been part of our focus. Stimulated by the currect activity and in partnership with the Clay Mathematics Institute, we are going to conclude the program with a workshop on Recent Trends in Analytic Number Theory to be held at the Insitute during April 12 - 15, 2000. The main objective of this workshop will be to present the best (old and new) achievements in the described subjects, as well as to expand interactions between various specialists.

Information concerning transportation and accommodations in the Princeton area may be found at http://www.princetonol.com/local/ and http://www.math.ias.edu/localinfo.html