Swinnerton-Dyer Memorial

Workshop theme

We are organising a three day meeting in honour of Professor Sir Peter-Swinnerton-Dyer who died in December 2018 at the age of 91.

Swinnerton-Dyer was one of the most influential number theorists of his generation worldwide. He is probably best known for the famous conjecture of Birch and Swinnerton-Dyer (one of the Millenium Clay Maths Problems), which relates the arithmetic of elliptic curves to the value of its Hasse-Weil L-function. This conjecture gave rise to a huge field of research relating special values of L-functions to arithmetic data. Swinnerton-Dyer was also one of founding figures in the arithmetic of surfaces and higher-dimensional varieties, such as local-to-global principles for rational points over number fields. He obtained fundamental results for conic bundles and cubic surfaces, and started the research of rational points on surfaces fibred into elliptic curves using completely new methods.

The meeting aims to celebrate the tremendous and wide-reaching contributions to mathematics of the late Sir Peter Swinnerton-Dyer. In the early years of the Newton Institute, Swinnerton-Dyer served as honorary executive director under Michael Atiyah.

The workshop is part of the London-Paris Number Theory Seminar series and is supported by the London Mathematical Society.

Given the current restrictions on movement, due to the ongoing pandemic, the INI intends to run this workshop virtually across 4 days. All talks and discussion sessions will be available virtually.

Applications for this workshop are now closed

Timetable

Monday 17th May 2021
13:50 to 14:00	Christie Marr Isaac Newton Institute Welcome	Room 1
14:00 to 15:00	Barry Mazur Harvard University Chair: John Coates Thoughts About Peter Swinnerton-Dyer, and About Conjectures in the Style of Birch and Swinnerton-Dyer	Room 1
15:00 to 15:15	Chair: John Coates Break	Room 1
15:15 to 16:15	Henri Darmon McGill University Chair: John Coates Modular Symbols, P-adic L-Functions, and Rigid Meromorphic Cocycles	Room 1
16:15 to 16:30	Chair: John Coates Break	Room 1
16:30 to 17:30	Sarah Zerbes University College London Chair: John Coates Euler Systems and the Birch—Swinnerton-Dyer Conjecture	Room 1

Tuesday 18th May 2021
14:00 to 15:00	Claire Voisin Institut de Mathématiques de Jussieu Chair: Jean-Louis Colliot-Thélène On the Coniveau of Rationally Connected 3-folds	Room 1
15:00 to 15:15	Chair: Jean-Louis Colliot-Thélène Break	Room 1
15:15 to 16:15	Emmanuel Peyre Université Grenoble Alpes Chair: Jean-Louis Colliot-Thélène Distribution of Rational Points	Room 1
16:15 to 16:30	Chair: Jean-Louis Colliot-Thélène Break	Room 1
16:30 to 17:30	Timothy Browning IST Austria Chair: Jean-Louis Colliot-Thélène Paucity, primes and Campana Points	Room 1

Wednesday 19th May 2021
14:00 to 15:00	John Coates University of Cambridge Chair: Sarah Zerbes Classical Iwasawa Theory And Infinite Descent On A Family Of Abelian Varieties	Room 1
15:00 to 15:15	Chair: Sarah Zerbes Break	Room 1
15:15 to 16:15	Rodolfo Venerucci Chair: Sarah Zerbes P-Adic Birch and Swinnerton-Dyer Formulas for Garrett L-Functions	Room 1
16:15 to 16:30	Chair: Sarah Zerbes Break	Room 1
16:30 to 17:30	Alexei Skorobogatov Imperial College London Chair: Sarah Zerbes The Timeless Attraction of Diagonal Quartic Surfaces	Room 1
17:30 to 17:45	Chair: Sarah Zerbes Break	Room 1
17:45 to 18:45	Bryan Birch University of Oxford Chair: Sarah Zerbes Working on EDSAC 2	Room 1

Thursday 20th May 2021
14:00 to 15:00	Lilian Matthiesen Chair: Alexei Skorobogatov Contributions of Additive Combinatorics to the Study of Rational Points	Room 1
15:00 to 15:15	Chair: Alexei Skorobogatov Break	Room 1
15:15 to 16:15	Martin Bright Chair: Alexei Skorobogatov Local-Global Principles for Surfaces and a Question of Swinnerton-Dyer	Room 1
16:15 to 16:30	Chair: Alexei Skorobogatov Break	Room 1
16:30 to 17:30	Olivier Wittenberg CNRS, Université Sorbonne Paris Nord Chair: Alexei Skorobogatov Intermediate Jacobians and the Rationality of Intersections of Two Quadrics	Room 1

Organisers

Jean-Louis Colliot-Thélène Université Paris Saclay
Miles Reid University of Warwick
Alexei Skorobogatov Imperial College London
Sarah Zerbes University College London

Speakers

Bryan Birch University of Oxford
Martin Bright
Timothy Browning IST Austria
John Coates University of Cambridge
Henri Darmon McGill University
Christie Marr Isaac Newton Institute
Lilian Matthiesen
Barry Mazur Harvard University
Emmanuel Peyre Université Grenoble Alpes
Alexei Skorobogatov Imperial College London
Rodolfo Venerucci
Claire Voisin Institut de Mathématiques de Jussieu
Olivier Wittenberg CNRS, Université Sorbonne Paris Nord
Sarah Zerbes University College London

Show All

Participants

Lambert A'Campo University College London
Adebisi Agboola University of California, Santa Barbara
Mohamed Alaaeldin University of Reading
Federico Amadio Guidi University of Oxford
Eva Bayer-Fluckiger EPFL - Ecole Polytechnique Fédérale de Lausanne
Andreas Bender Università degli Studi di Pavia
Bryan Birch University of Oxford
Chris Birkbeck University College London
Jessica Black University College London; King's College London
Abbey Bourdon Wake Forest University
Martin Bright
Jim Brown Occidental College (OXY)
Timothy Browning IST Austria
Dominik Bullach King's College London
Abigail Burton University College London; King's College London
Kevin Buzzard Imperial College London
Ana Caraiani Imperial College London
Connor Cassady University of Pennsylvania
Kwangho Choiy Southern Illinois University Carbondale
John Coates University of Cambridge
Jean-Louis Colliot-Thélène Université Paris Saclay
John Cremona University of Warwick
Nguyen Dang Khai Hoan Universiteit Leiden; Università degli Studi di Padova
Quang-Duc DAO Sorbonne Université
Henri Darmon McGill University
Rob de Jeu Vrije Universiteit Amsterdam
Cyril Demarche Sorbonne Université
Ulrich Derenthal Leibniz Universität Hannover
Aritram Dhar Indian Institute of Science Education and Research (IISER)
Fred Diamond King's College London
Xeni Dimitrakopoulou University of Warwick
Mladen Dimitrov Université Lille 1
Netan Dogra University of Oxford
Vladimir Dokchitser University College London
Jessica Fintzen University of Cambridge; Duke University
Tom Fisher University of Cambridge
Francesc Fité Massachusetts Institute of Technology
Javier Fresán École Polytechnique
Evangelia Gazaki University of Virginia
Johannes Girsch Imperial College London
Jakob Glas IST Austria
Andrew Graham Imperial College London
David Grant University of Colorado Boulder
Holly Green University College London
Steven Groen University of Warwick
Damián Gvirtz University College London
Parham Hamidi University of British Columbia
Zeping Hao University of Warwick
David Harari Université Paris Saclay
David Harbater University of Pennsylvania
Richard Hatton University of Nottingham
Roger Heath-Brown University of Oxford
Marc Hindry Université Denis Diderot
Matthew Honnor King's College London
Zhizhong Huang Leibniz Universität Hannover
Luc Illusie Université Paris-Saclay
Erman Isik University College Dublin
Ashwin Iyengar King's College London
Diego Izquierdo Ecole Polytechnique Paris
Sam Jaques University of Oxford
Tiago Jardim da Fonseca University of Oxford
Yukako Kezuka Universität Regensburg
HARUN Kir Queen's University, Canada
Firtina Kucuk University College Dublin
Boris Kunyavskii Bar-Ilan University
Masato Kurihara Keio University
Jef Laga University of Cambridge
Kai-Wen Lan University of Minnesota
Jaclyn Lang University Paris 13
Pak-Hin Lee University of Warwick
Fuchun Lin Imperial College London
Cong Ling Imperial College London
Stuart Litobarski QinetiQ; University of Bath
David Loeffler University of Warwick
Adam Logan None / Other; Carleton University
Daniel Loughran University of Bath
Julian Lyczak IST Austria
Andre Macedo University of Reading
Celine Maistret University of Bristol
Adelina Manzateanu Universiteit Leiden
Luca Marannino Universität Duisburg-Essen
Chloe Martindale University of Bristol
Lilian Matthiesen
Barry Mazur Harvard University
Romy Minko University of Oxford
Vladimir Mitankin Leibniz Universität Hannover
Fernando Montans Universidad de la República
Adam Morgan Max-Planck-Institut für Mathematik, Bonn
Stefano Morra Université Paris 13
Ashvni Narayanan University College London; King's College London
Jan Nekovar Sorbonne Université
Rachel Newton University of Reading
Sarah Nowell University College London
Jesse Pajwani University College London; Imperial College London
Owen Patashnick University of Bristol; King's College London
Ross Paterson University of Glasgow
Rina Paucar Rojas Universidad Nacional de Ingeniería
Perrin-Riou Perrinriou Université Paris-Saclay
Yiannis Petridis University College London
Emmanuel Peyre Université Grenoble Alpes
Richard Pinch Institute of Mathematics and its Applications
Alena Pirutka New York University
Chao Qin Sun Yat-sen University
Wayne Raskind Wayne State University
Miles Reid University of Warwick
Robert Rockwood University of Warwick
Nick Rome University of Michigan; University of Bristol
Karl Rubin University of California, Irvine
Abhishek Saha Queen Mary University of London
Tim Santens KU Leuven
Philippe Satge Université de Caen Basse-Normandie
Claudia Schoemann Leibniz Universität Hannover
Anthony Scholl University of Cambridge
Alexei Skorobogatov Imperial College London
Sam Streeter University of Bath
Jay Swar University of Oxford
Barry Tennison London School of Hygiene and Tropical Medicine
Jack Thorne University of Cambridge
Rodolfo Venerucci
Charles Vial Bielefeld University
John Voight Dartmouth College
Claire Voisin Institut de Mathématiques de Jussieu
Hanneke Wiersema King's College London
Andrew Wiles University of Oxford
Florian Wilsch IST Austria
Rosa Winter Universiteit Leiden
Olivier Wittenberg CNRS, Université Sorbonne Paris Nord
Han Wu University of Science and Technology of China
Song Yan Aston University
Sadiah Zahoor University of Sheffield
Sarah Zerbes University College London
Shuai Zhai University of Cambridge
Haowen Zhang Sorbonne Université
ruishen zhao Sorbonne Université