: May 2021 :
Language: English
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.
Link: Website
: April 2021 :
Type: Virtual
Abstract: The aim of the workshop is to understand the recent work of Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, and Benjamin Schraen in 2102.06188, 2009.03127 and by Yongquan Hu and Haoran Wang in 2009.09640 concerning the representations appearing in the Hecke eigenspaces of mod p completed cohomology. Format: The workshop will be held on Zoom. We plan to have two 90 minutes talks a day: one in the morning and one in the afternoon. The notes and recordings will be posted online. Please register for the school if you wish to attend Zoom talks live and take part in virtual social events.
Link: Website