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Number Theory in Function Fields

3 April 2017, 9.00 AM – 5 April 2017, 5.00 PM

School of Mathematics, 4th Floor Seminar Room, Howard House, Queens Avenue, Bristol BS8 1SD

Funded by EPSRC Programme Grant EP/K034383/1 (LMF: L-functions and Modular Forms), and by ERC Project Arithmetic and Quantum Chaos (PI: Zeev Rudnick).
The workshop deals with the interrelationship between the arithmetic of the integers and that of the ring of polynomials over a finite field, as it appears that many results which hold for the ring of polynomials over a finite fields have analogues in the integers.
The goal of this research workshop is to explore some of the new advances in number theory over function fields and investigate further the interplay between number fields and function fields and its connections with random matrix theory.
The main object to be explored is families of L-functions in the context of the ring Fq[t] of polynomials over a finite field Fq of q elements and their connection with random matrices. We will be discussing new ideas and recent trends in the subject. There will be a certain number of lectures, as well as time for open discussions and brainstorming.
Please download the programme and abstracts here function-fields-programme (PDF, 269kB)
 
Participants:

Julio Andrade, University of Exeter
Efrat Bank, University of Michigan
Lior Bary-Soroker, Tel Aviv University
Andy Booker, University of Bristol
Hung Bui, University of Manchester
Dan Carmon, Tel Aviv University
Alexei Entin, Stanford University
Arno Fehm, Dresden University
Alexandra Florea, Stanford University
Ofir Gorodetsky, Tel Aviv University
Chris Hall, University of Western Ontario
Jon Keating, University of Bristol
Min Lee, University of Bristol
Patrick Meisner, Tel Aviv University
Dave Platt, University of Bristol
Brad Rodgers, University of Michigan
Edva Roditty-Gershon, University of Bristol
Zeev Rudnick, Tel Aviv University
Nina Snaith, University of Bristol
Tom van Overbeeke, Utrecht University
Ezra Waxman, Tel Aviv University

Contact information

Edva Roditty-Gershon, School of Mathematics, University of Bristol
Jon Keating, School of Mathematics, University of Bristol

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