Number Theory and Physics

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September 30 - October 4, 2013


Clay Mathematics Institute
Mathematical Institute
University of Oxford

 

 

 

This workshop will explore the interactions between number theory and physics, specifically focussing on four main points of contact:

• L-function, Random Matrix Theory and Quantum Chaos
• Number Theory, Representation Theory and Donaldson-Thomas invariants
• Feynman diagrams and multi-zeta values
• The Geometric and Arithmetic Langlands Program

The topics, of current interest and activity, share a significant intersection with both number theory and physics, and strongly influence and enrich one another.

Each morning an expository talk will address one of these topics. The talks will be broad, with an emphasis on the underlying theme of the workshop: the interplay between number theory and physics. Speakers are encouraged to include bold speculations and their vision for the future of the subject. The afternoon sessions will be devoted to more specialized talks.

The goal of the workshop is to bring together the four strands of the interaction between number theory and physics so that experts, and scientists in general, can glimpse the larger picture.

This workshop will take place in the new Mathematical Institute building during the week of its opening.

Participation in the workshop is by invitation. A limited number of additional places is available. Please register your interest here.

 

Schedule - to come

 

Organizers

• Tamás Hausel (EPFL)
• Emmanuel Letellier (University of Caen)
• Fernando Rodriguez Villegas (University of Texas at Austin and ICTP)

Participants

• Gaetan Borot (Université de Genève)
• Jean-Benoit Bost (Paris Sud University, Orsay)
• Francis Brown (Institut de Mathématiques de Jussieu)
• Philip Candelas (University of Oxford)
• Brian Conrey (American Institute of Mathematics)
• Duiliu Diaconescu (Rutgers University)
• Tudor Dimofte (California Institute of Technology)
• Herbert Gangl (Durham University)
• Victor Ginzburg (University of Chicago)
• Sergei Gukov (California Institute of Technology)
• Jon Keating (University of Bristol)
• Frances Kirwan (University of Oxford)
• Maxim Kontsevich (Institut des Hautes Études Scientifiques)
• Dirk Kreimer (Humboldt University)
• Gerard Laumon (Paris Sud University, Orsay)
• Patrick Leboeuf (Campus Paris Saclay)
• Sergey Lysenko (Institut Élie Cartan Nancy)
• Marcus Reineke (Bergische Universität Wuppertal)
• Zeev Rudnick (Tel Aviv University)
• Olivier Schiffmann (Institut de Mathématiques de Jussieu)
• Nina Snaith (University of Bristol)
• Balazs Szendroi (University of Oxford)
• Eric Vasserot (Institut de Mathématiques de Jussieu)
• Edward Witten (Institute for Advanced Study)

Travel Information

CMI Workshops

Clay Research Conference