University of Cambridge > Talks.cam > Discrete Analysis Seminar > On a conjecture of Serre

On a conjecture of Serre

Add to your list(s) Download to your calendar using vCal

  • UserLillian Pierce (Oxford)
  • ClockWednesday 08 May 2013, 16:00-17:00
  • HouseMR4, CMS.

If you have a question about this talk, please contact Ben Green.

A conjecture of Serre concerns the number of rational points of bounded height on a finite cover of projective space. This talk will describe joint work with Roger Heath-Brown that verifies Serre’s conjecture in certain special cases, and even improves on it in sufficiently high dimensions. The problem boils down to giving a good upper bound for the number of perfect power values of a polynomial in many variables with integer coefficients. Such an upper bound is obtained via a combination of techniques in analytic number theory; we will highlight the power sieve, the q-analogue of van der Corput’s method, and an arithmetic version of Poisson summation.

This talk is part of the Discrete Analysis Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity