17 – 20 May 2021

The Isaac Newton Institute, Cambridge, UK

The London-Paris Number Theory Seminar meets twice per year, once in London and once in Paris. The 29th meeting of the London-Paris seminar exceptionally took place in Cambridge in collaboration with the Isaac Newton Institute in honour of Professor Sir Swinnerton-Dyer.

Workshop Theme

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. 

Organisers

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

More information on the workshop website