K-theory, Hecke Algebras and Representation theory

kt.k-theory-and-homology nt.number-theory oa.operator-algebras rt.representation-theory
Start Date
2018-07-03 
End Date
2018-07-06 
Institution
University of Sheffield 
City
Sheffield  
Country
UK 
Meeting Type
conference 
Homepage
https://sites.google.com/site/sheffieldkhart2018/ 
Contact Name
Haluk Sengun 

Description

This is a conference that will focus on new and developing links between operator K-theory and representation theory. More specifically, the meeting will consider the following themes:

  • recent advances in operator K-theory and representation theory for affine Hecke algebras, with applications to the ABPS conjecture for p-adic groups, the Baum-Connes conjecture and the local Langlands correspondence,
  • new constructions linking KK-theory, the Hecke algebras associated to arithmetic groups and automorphic forms,
  • new approaches to tempered representation theory for real groups via operator algebras and noncommutative geometry,
  • progress on the 'Mackey bijection' between the irreducible representations of real groups and the irreducible representations of associated Cartan motion groups.

We believe that the time is ripe to expect fruitful interaction among the above mentioned research areas. We tried to push the synergistic aspects of the meeting further by bringing together a balance of experts who work in representation theory, harmonic analysis, and automorphic forms with experts in noncommutative geometry and operator K-theory. Speakers will be encouraged to present open problems accessible across boundaries, and touch upon possible new points of contact between the different subjects represented at the meeting.

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