Andrew Wiles Building
Radcliffe Observatory Quarter
Oxford OX2 6GG, UK
Organisers: Ben Green (Oxford)Roger Heath-Brown (Oxford)
In a spectacular breakthrough, Yitang Zhang proved that there are infinitely many pairs of primes differing by at most 70 million. Due to further advances of Maynard and Tao and the collaborative Polymath Project, 70 million has been reduced to a few hundred. This course will introduce attendees to the mathematics surrounding these developments.
Courses: There will be four lecture courses.
1. Introduction to prime number theory. ζ- and L-functions, the prime number theorem
(Andrew Granville, Montreal)
2. The Bombieri-Vinogradov theorem about distribution of primes in progressions. Introduction to sieve theory. (Kannan Soundararajan, Stanford)
3. The methods of Goldston, Pintz and Yıldırım and Maynard-Tao.
(James Maynard, Montreal/Oxford)
4. Inputs from algebraic geometry. (Emmanuel Kowalski, ETH Zurich)
These lecture courses will be supplemented by tutorial sessions.
Distinguished guest lecturers: Terence Tao (UCLA) and Yitang Zhang (New Hampshire)
How to apply: Research students, post-docs and those working in industry are invited to apply. Applications should be made using the registration form available here. The application deadline is June 15th 2014 and successful applicants will be contacted within two weeks of the deadline. Information about individual applications will not be available before then.
Conference fees: Early-career researchers from outside Oxford: £250 (includes conference fee, accommodation, meals and conference dinner). PhD students from outside Oxford: £150 (includes conference fee, accommodation, meals and conference dinner). Oxford University participants: £100 (includes conference fee, lunches and conference dinner only). All other participants (e.g. those working in industry) will be charged a registration fee of £250 (includes conference fee, lunches and conference dinner) and have the option of additionally requesting accommodation and evening meals at a further cost of £650. All UK-based participants must pay their own travel costs. For overseas-based participants, support will be available on application if contribution towards travel costs is required. Fees are not payable until a place on the course is offered but will be due by 1st August 2014.
Clay Research Conference: Participants may also be interested in attending the Clay Research Workshop on Analytic Number Theory, which is taking place the following week.