Talks of the Nottingham-Oxford conferences on Symmetries and Correspondences, July 2014

including 210 minutes of video files and 11 files of slides, texts, surveys and comments


   Organizers: Ivan Fesenko (Nottingham), Yakov Kremnitzer (Oxford), Martin Taylor (Oxford), Boris Zilber (Oxford)



Nottingham, July 3-4 2014


    Schedule of the talks is available from this page


    Abstracts of some of the talks are available from this page


   M. Morrow: An introduction to higher dimensional local fields and adeles, a survey  


   A. Yekutieli: Higher dimensional topological local fields and residues, slides  




Oxford, July 5-8 2014


    Abstracts of the talks are available from this page



July 5



   9:30-10:30

   Robert Langlands (IAS, Princeton)

 Problems in the theory of automorphic forms: 45 years later

    Video record of the first hour     Video record of the second hour   Video record of the third hour    Text    Comments to the video


   11:00-12:00

   Christopher Deninger (Univ. Münster)

 Zeta functions and foliations


   

   13:30-14:30

   Christophe Soulé (IHES, Bures-sur-Yvette)

 A singular arithmetic Riemann-Roch theorem

    

   14:40-15:40

   Minhyong Kim (Univ. Oxford)

 Non-abelian reciprocity laws and Diophantine geometry - slides


  16:10-17:10  

   Constantin Teleman (Berkeley/Oxford)

Categorical representations and Langlands duality

      

  


   July 6



   9:30-10:30

   Ted Chinburg (Univ. Pennsylvania, Philadelphia)

 Higher Chern classes in Iwasawa theory

   

   11:00-12:00

   Yuri Tschinkel (Courant Institute, New York)

 Introduction to almost abelian anabelian geometry  -  slides


   13:30-14:30

   Ralf Meyer (Univ. Göttingen)  

 Groupoids and higher groupoids -  survey



   14:40-15:40

   Dennis Gaitsgory (Harvard Univ., Boston)

 three talks were offered to choose from, the talk was given on Tamagawa numbers in the geometric case



  16:10-17:10

   François Loeser (Univ. Paris 6-7)

 Motivic integration and representation theory  -  survey paper related to the talk


     


July 7



   9:00-10:00

   Matthew Morrow (Univ. Bonn)

   On the deformation theory of algebraic cycles


   10:30-11:30

    Fedor Bogomolov (Courant Institute, New York/Univ. Nottingham)

 On the section conjecture in anabelian geometry

     


   13:15-14:15

 Kevin Buzzard (ICL, London)

 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 (Univ. California Berkeley)

   Video of public presentation on Symmetries and Correspondences, "Love and Math", with Marcus du Sautoy


July 8



 9:15-10:15

 Mikhail Kapranov (Kavli IMPU, Tokyo)

 Lie algebras and E_n-algebras associated to secondary polytopes


   10:45-11:45

   Sergey Oblezin (Univ. Nottingham)

 Whittaker functions, mirror symmetry and the Langlands correspondence - slides

  

   13:30-14:30

 Edward Frenkel (Univ. California Berkeley)

   The Langlands programme and quantum dualities


 14:40-15:40

 Dominic Joyce (Univ. Oxford)

 Derived symplectic geometry and categorification   -  slides


16:10-17:10  

Urs Schreiber (Univ. Nijmegen, The Netherlands)

Correspondences of cohesive linear homotopy types and quantization - text related to the talk