Symmetries and Correspondences in Number Theory, Geometry, Algebra and Quantum Computing

Programme 

July 5

9:00-9:30 Registration

9:30-10:30  Robert Langlands (IAS)
Problems in the theory of automorphic forms: 45 years later

11:00-12:00 Christopher Deninger (Münster)
Zeta functions and foliations    

14:00-15:00  Christophe Soulé (IHES)
A singular arithmetic Riemann-Roch theorem    

 15:30-16:30  Minhyong Kim (Oxford)
Non-abelian reciprocity laws and Diophantine geometry

July 6

9:30-10:30 Ted Chinburg (University of Pennsylvania)
Higher Chern classes in Iwasawa theory

11:00-12:00  Yuri Tschinkel (Courant Institute)
Introduction to almost abelian anabelian geometry

14:00-15:00  Ralf Meyer (Göttingen)
Groupoids and higher groupoids

15:30-16:30 Dennis Gaitsgory (Harvard)
Picard-Lefschetz oscillators for Drinfeld-Lafforgue compactifications

July 7

9:00-10:00  Matthew Morrow (Bonn)  
On the deformation theory of algebraic cycles

10:30-11:30  Fedor Bogomolov (Courant Institute/Nottingham)
On the section conjecture in anabelian geometry        

13:15-14:15  Kevin Buzzard (ICL)
p-adic Langlands correspondences

14:45-15:45  Masatoshi Suzuki (Tokyo Institute of Technology)
Translation invariant subspaces and GRH for zeta functions

16:00-17:00 Edward Frenkel (Berkeley)
The Langlands programme, "Love&Math" - Public presentation

July 8

 9:15-10:15  Mikhail Kapranov (Yale)
Lie algebras and E_n-algebras associated to secondary polytopes            

10:45-11:45  Sergey Oblezin (Nottingham)
Whittaker functions, mirror symmetry and the Langlands correspondence

13:30-14:30   Edward Frenkel (Berkeley)
The Langlands programme and quantum dualities

15:00-16:00  Dominic Joyce (Oxford)
Derived symplectic geometry and categorification

Love and Math

As part of the conference, there will be a public presentation of the new book "Love and Math" by Edward Frenkel. Edward Frenkel is a professor of University of California at Berkeley, the winner of the Hermann Weyl Prize in mathematical physics, and a member of the American Academy of Arts and Sciences. His book "Love and Math" was a New York Times bestseller and was named one of the Best Books of 2013 by both Amazon and iBooks. It is currently being translated into nine languages.

July 7, 2014

4:00-5:00: Short presentation and discussion at Theatre L2, Mathematical Institute, University of Oxford
Moderator: Marcus du Sautoy, Simonyi Professor for Public Understanding of Science, Oxford University 
Questions can be submitted by Twitter using the hashtag #loveandmath

5:00: book signing (books will be available for purchase at the event)

"Love and Math" tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program, one of the subjects of the Oxford conference, with Robert Langlands one of its speakers. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve hard problems, such as Fermat's Last Theorem proved by Andrew Wiles, that had seemed intractable before. "Love and Math" is an invitation to discover the hidden magic universe of mathematics. For more information, visit http://www.loveandmathbook.com/