Number Theory Days 2013


EPFL and ETHZ have the pleasure to announce the next Number Theory Days that will be held in Lausanne, March 15 and 16, 2013.

The Number Theory Days take place every year since 2004, alternatingly in Zurich and Lausanne.

Practical Information


Laurent Berger, Ecole Normale Supérieure de Lyon

Hee Oh, Brown University

Elon Lindenstrauss, Hebrew University Jerusalem

Nicolas Templier, Princeton University

Julia Wolf, Ecole Polytechnique de Paris

Number Theory Days 2013 Schedule 

Room CM5   Campus Map


14.15 - 15.15: Hee Oh: Equidistribution and primes in thin orbits

Abstract: We will discuss uniform spectral gap results for the congruence family of thin hyperbolic groups and their applications to affine sieves in linear orbits of thin hyperbolic groups. In particular, we will discuss recent joint work with Amir Mohammadi on the distribution of (almost) prime vectors in such orbits.

15.15 - 15.45: Pause

15.45 - 16.45: Elon Lindenstrauss: An effective proof of the Oppenheim Conjecture

Abstract: Margulis proof in mid 80's of the longstanding Oppenheim Conjecture concerning values of indefinite quadratic forms at integer points using homogeneous dynamics, and the subsequent strengthening of this result by Dani and Margulis, were an important milestone in the development of the subject. The original proofs by Margulis and Dani-Margulis were not effective in the sense that they gave no insight into the size of the integer vectors involved. I will describe joint work with Margulis which gives an effective proof of the Oppenheim conjecture, and explain how it relates to the quantitative study of unipotent flows.

16.45 - 17.15: Pause

17.15 - 18.15: Nicolas Templier: Families of L-functions and their Symmetry

Abstract. We discuss recent works which make it possible to conjecture the symmetry type of a family and in particular the universality class predicted by Katz-Sarnak for the distribution of the zeros.


19.30: Conference Dinner at Casino de Montbenon

                                                 Allée Ernest-Ansermet
                                                                 1003 Lausanne



 9.00 -  9.30: Coffee

 9.30 - 10.30: Julia Wolf: Polynomial configurations in the primes

Abstract. The Bergelson-Leibman theorem states that if P_1, ... , P_k are polynomials with integer coefficients, then any subset of the integers of positive upper density contains a polynomial configuration x+P_1(m), … , x+P_k(m), where x,m are integers. Various generalizations of this theorem are known. Wooley and Ziegler showed that the variable m can in fact be taken to be a prime minus 1, and Tao and Ziegler showed that the Bergelson-Leibman theorem holds for subsets of the primes of positive relative upper density. In this talk we discuss a hybrid of the latter two results, namely that the step m in the Tao-Ziegler theorem can be restricted to the set of primes minus 1. This is joint work with Thai Hoang Le.

10.30 - 11.00: Pause

11.00 - 12.00: Laurent Berger: The p-adic local Langlands correspondence and Lubin-Tate groups

Abstract. I will recall the important features of the p-adic local Langlands correspondence for GL_2(Q_p). Extending this correspondence to other groups seems to require doing p-adic Hodge theory in a slightly different way. I will explain the new features that arise when one does this, in the simplest setting.


Attendance to the NTD is free of charge but you have to announce yourself.

Please fill the following Registration Form

For any furhter questions please contact Marcia Gouffon:


We are NOT able to make hotel reservations; however, we have obtained reduced prices with some hotels (the name of the congress should be mentioned when reservation is made - unless otherwise specified, breakfast is included). We strongly recommend to book well in advance at NTD 2013 hotel reservation.

For any further questions please contact Marcia Gouffon:

Travel Information

How to come

Campus Map


Prof. Philippe Michel @ EPFL :

Prof. Emmanuel Kowalski @ ETHZ :

Supported by