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Following great progress in automorphic forms over totally real fields, there has recently been renewed interest in the case of automorphic forms over imaginary quadratic fields (aka Bianchi modular forms). One way to study their arithmetic properties is to lift them to Siegel modular forms via the theta correspondence between O(3,1) and Sp(4). This workshop brings together experts on automorphic forms, Galois representations and computational number theory to present their work on different aspects of Bianchi and Siegel modular forms. The workshop aims to inform participants of the latest developments as well as stimulate further work in this exciting area of research.
Some of the topics to be discussed at the workshop:
Computations of Bianchi modular forms,
Paramodular conjecture of Brumer-Kramer,
Images of Galois representations,
Modularity of Galois representations/ Serre's conjecture,
Arithmetic of L-values of Siegel modular forms,
Bloch-Kato conjecture for L-values.
The event will take place in the Hicks Building at the University of Sheffield, opening on Monday morning and closing on Wednesday at 1pm. There will be a conference dinner on Tuesday.
Siegfried Böcherer (Mannheim)
Thanasis Bouganis (Durham)
Jim Brown (Clemson)
Lassina Dembele (Warwick)
Neil Dummigan (Sheffield)
Kris Klosin (CUNY)
Jolanta Marzec (Bristol)
Ameya Pitale (Oklahoma)
Alexander Rahm (Galway)
Abhishek Saha (Bristol)
Haluk Sengun (Warwick)
Jacques Tilouine (Paris)
Lynne Walling (Bristol)
Please email email@example.com to register. There will be a registration fee (£30.00) to cover coffee/tea and lunches.
There is support available for UK based PhD students. Please mention if you would like to apply for this in your registration email.
Participants with childcare responsibilities are encouraged to apply for the supplementary grants offered by the LMS.
This event is supported by the London Mathematical Society and EPSRC.
For inquiries, please send an email to Tobias Berger.