## Focused Research: Number Theory and Function Fields at the Crossroads 2016

12 Jan 2016, by Events in**20 – 22 January 2016**

University of Exeter

Funded by:

Heilbronn Institute for Mathematical Research

Heilbronn 10th Anniversary Focused Research Grants

**Program**

The analogies between function fields and number fields are fundamental in Number Theory. In the past few years there has been an explosion of activity in function fields related to number theory, specifically in arithmetic statistics, analytic number theory and additive number theory. $\sum 1/n$

The upsurge of activity in function fields has attracted some of the leading mathematicians and number theorists to think and revisit questions related to function fields and number theory.

The goal of this research workshop is to explore some of the new advances in number theory and investigate further the interplay between number fields and function fields and its connections with mathematical physics and random matrix theory.

The main aim of the workshop is to discuss new ideas and recent trends in the subject and to formulate some new and ambitious problems, as well as brainstorm various ideas for solving them. There will be a small number of main lectures delivered by more senior and established mathematicians, a number of short talks given by postdocs followed by discussion sessions. The expectation is that a number of new and exciting collaborations will be initiated due to the meeting.

**Location**

University of Exeter

Upper Lounge

Reed Hall

Streatham Drive

Exeter

Devon

EX4 4QR

The venue for the meeting is the number 14 in the campus map.

**Participants**

Ardavan Afshar (University College London)

Julio Andrade (University of Exeter and University of Oxford)

Lior Bary-Soroker (Tel-Aviv University)

Tim Browning (University of Bristol)

Hung Bui (University of Manchester)

Nigel Byott (University of Exeter)

Dan Carmon (Tel-Aviv University)

Brian Conrey (AIM)

Chantal David (Concordia University)

Alexei Entin (Stanford University)

Alexandra Florea (Stanford University)

Andrew Granville (University College London and Université de Montréal)

Adam Harper (University of Cambridge)

Chris Hughes (University of York)

Henri Johnston (University of Exeter)

Jon Keating (University of Bristol)

Oleksiy Klurman (University College London)

Min Lee (University of Bristol)

Adelina Manzateanu (University of Bristol)

Brad Rodgers (University of Michigan)

Edva Roditty-Gershon (University of Bristol)

Igor Wigman (King’s College)

**Organizer**

Julio Andrade (University of Exeter and University of Oxford)

**Contact**

If you are interested in attending this workshop please email: j.c.andrade.math@gmail.com