Number Theory and Function Fields at the Crossroads 2016
Focused Research Workshop
20 - 22 January 2016
University of Exeter
Funded by:
Heilbronn Institute for Mathematical Research
Heilbronn 10th Anniversary Focused Research Grants
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.
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.
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.
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.
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)
Ofir Gorodetsky (Tel-Aviv 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)
Gihan Marasingha (University of Exeter)
Adelina Manzateanu (University of Bristol)
Brad Rodgers (University of Michigan)
Edva Roditty-Gershon (University of Bristol)
Igor Wigman (King's College)
SCHEDULE AND ABSTRACTS
Here is a pdf file with the schedule of the talks.
Here is a pdf file with the schedule of the talks.
TALKS
Speaker Title
Lior Bary-Soroker Statistics of arithmetic functions in function fields
Tim Browning Algebraic geometry over finite fields via counting
Dan Carmon Square-free values of polynomials with large coefficients
Brian Conrey Approaches to RH
Chantal David Statistics for cyclic covers over finite fields
Alexei Entin Hurwitz Spaces and Extensions of the Rational Function Field
Alexandra Florea Mean value of quadratic Dirichlet $L$-functions in function fields
Andrew Granville Sieving differences
Adam Harper Multiplicative functions in function fields
Chris Hughes Modelling large values of $L$-functions
Min Lee The Selberg Trace Formula as a Dirichlet series and applications
Brad Rodgers Explicit formulas and symmetric function theory
Edva Roditty-Gershon Arithmetic Statistics in Function Fields
Speaker Title
Lior Bary-Soroker Statistics of arithmetic functions in function fields
Tim Browning Algebraic geometry over finite fields via counting
Dan Carmon Square-free values of polynomials with large coefficients
Brian Conrey Approaches to RH
Chantal David Statistics for cyclic covers over finite fields
Alexei Entin Hurwitz Spaces and Extensions of the Rational Function Field
Alexandra Florea Mean value of quadratic Dirichlet $L$-functions in function fields
Andrew Granville Sieving differences
Adam Harper Multiplicative functions in function fields
Chris Hughes Modelling large values of $L$-functions
Min Lee The Selberg Trace Formula as a Dirichlet series and applications
Brad Rodgers Explicit formulas and symmetric function theory
Edva Roditty-Gershon Arithmetic Statistics in Function Fields
ORGANIZER
Julio Andrade (University of Exeter and University of Oxford)
Julio Andrade (University of Exeter and University of Oxford)
TRAVEL, ACCOMMODATION AND PRACTICAL INFORMATION
Click here for a campus map.
The workshop will start on the morning of Wednesday 20th January and we anticipate that most participants will arrive on the afternoon or evening of Tuesday 19th January. See the schedule above for further details.
The participants of this meeting are staying in two different accommodations:
1-) The Bendene
15-16 Richmond Rd, Exeter EX4 4JA
or
2-) The Jurys Inn Exeter Hotel
Western Way, Exeter EX1 2DB
The participants of the meeting should by now have received an email containing information about the accommodation. If not, please let me know.
From the Jurys Inn to the conference venue is a 25 minutes walking or you can take the bus D as it is shown on this link.
From The Bendene is a 18 minutes walking or you can take the bus D as it is shown on this link.
Here is some general advice on to travel to Streatham via bus, rail, or Exeter Airport. Onward travel from Exeter Airport is available by bus or taxi. The bus is cheap (a few pounds), but doesn't run that that late. The taxi costs about £25.
The two largest airports in the UK are Heathrow and Gatwick, and partipants from North America will probably have to fly to one of these (they also have flights to many European cities). By far the cheapest onward travel option in both cases is to take the bus to Exeter Bus and Coach station. From Gatwick, you can travel by train via either Reading or Clapham Junction (cheaper, but a bit slower) to Exeter St David's train station. From Heathrow, you can take either the Heathrow Express or Heathrow connect (a bit slower but much cheaper) to London Paddington train station and then take the train from Paddington to Exeter St. David's. Rail prices and timetables (including for onward travel from airports other than Exeter) can be found at National Rail Enquiries.
In the second day of the meeting, we will have a conference dinner, where all the participants are invited to attend. The dinner will take place at Reed Hall at the Reed Woodbridge Suite from 19:30 - 23:00.
