COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Spectral transfer category of affine Hecke algebras

## Spectral transfer category of affine Hecke algebrasAdd to your list(s) Download to your calendar using vCal - Opdam, EM (Amsterdam)
- Monday 22 June 2009, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. This talk has been canceled/deleted We introduce a notion of a ``spectral transfer morphism’’ between affine Hecke algebras. Such a spectral transfer morphism from H_1 to H_2 is not given by an algebra homomorphism from H_1 to H_2 but rather by a homomorphism from the center Z_2 of H_2 to the center Z_1 of H_1 which is required to be ``compatible’’ in a certain way with the Harish-Chandra mu-functions on Z_1 and Z_2. The main property of such a transfer morphism is that it induces a correspondence between the tempered spectra of H_1 and H_2 which respects the canonical spectral measures (``Plancherel measures’‘), up to a locally constant factor with values in the rational numbers. The category of smooth unipotent representations of a connected split simple p-adic group of adjoint type G(F) is Morita equivalent to a direct sum R of affine Hecke algebras. It is a remarkable fact that R admits an essentially unique ``spectral transfer morphism’’ to the Iwahori-Matsumoto Hecke algebra of G. This fact offers a new perspective on Reeder’s classification of unipotent characters for exceptional split groups which works in the general case, leading to an alternative approach to Lusztig’s classification of unipotent characters of G(F). This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
## Other listsComputational Biology Workshop 2017 Violence and Conflict Graduate Workshop, Faculty of History Centre for Gender Studies-Public Events## Other talksSymplectic topology of K3 surfaces via mirror symmetry Uncertainty Quantification with Multi-Level and Multi-Index methods Changing languages in European Higher Education: from official policies to unofficial classroom practices Propaganda porcelain: The mirror of the Russian revolution and its consequences Genomic Approaches to Cancer Cambridge-Lausanne Workshop 2018 - Day 2 The Partition of India and Migration Scale and anisotropic effects in necking of metallic tensile specimens Horizontal transfer of antimicrobial resistance drives multi-species population level epidemics Summer Cactus & Succulent Show |