Home /  Seminaire de Mathematiques Superieures 2014: Counting Arithmetic Objects

Summer Graduate School

Seminaire de Mathematiques Superieures 2014: Counting Arithmetic Objects June 23, 2014 - July 04, 2014
Parent Program: --
Location: Montreal, Quebec, Canada
Organizers Henri Darmon (McGill University), Andrew Granville (Université de Montréal), Benedict Gross (Harvard University)

In the past decade tremendous progress has been achieved on certain key problems involving counting objects of arithmetic interest, such as number fields (or ́étale algebras) of given degree, naturally ordered by the size of their discriminants, as well as 2 or 3-torsion elements in Selmer groups of elliptic curves. This progress, which blends elegant algebraic techniques with brilliant and powerful analytic ideas, has led, most recently, to striking upper bounds on the size of Selmer groups (and therefore ranks) of elliptic curves and even Jacobians of hyperelliptic curves of higher genus. The goal of this summer school will be to take stock of the recent breakthroughs and bring young researchers to the forefront of research in this exciting and fast-evolving area.

Details are available on the SMS Homepage.

Special restrictions (for MSRI Support):

  1. In addition to the nomination at MSRI, a separate application via the SMS Homepage is required to participate in this workshop.
  2. Participation is subject to selection by the organizers, see Description of the SMS.
  3. Due to the small number of students supported by MSRI, only one student per institution will be funded by MSRI. Additional students are highly encouraged to apply directly via the SMS Homepage.

For eligibility and how to apply, see the Summer Graduate Workshop homepage

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC