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Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
We study the local factor at p of the semi-simple zeta function of a Shimura variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an Iwahori subgroup. Our method...
THE SATAKE ISOMORPHISM FOR SPECIAL MAXIMAL PARAHORIC HECKE ALGEBRAS     PARAHORIC HECKE  Algebra       font style='font-size:12px;'> 2015/9/29
Let G denote a connected reductive group over a nonarchimedean local field F. Let K denote a special maximal parahoric subgroup of G(F). We establish a Satake isomorphism for the Hecke algebra...
IWAHORI-HECKE ALGEBRAS     center  IWAHORI-HECKE ALGEBRAS       font style='font-size:12px;'> 2015/9/29
Our aim here is to give a fairly self-contained exposition of some basic facts about the Iwahori-Hecke algebra H of a split p-adic group G, including Bernstein’s presentation and description of the ...
Let G be an unramified group over a p-adic field F, and let E/F be a finite unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the ma...
These lectures describe Hecke algebra isomorphisms and types for depth-zero principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ is a depth-zero character on T(O...
On asymptotic values of canonical Hecke L-functions     Character  evidence  masri       font style='font-size:12px;'> 2015/8/25
We derive an asymptotic for the rst moment of Hecke L-series associated to canonical qua- dratic characters. This provides another proof and slightly generalizes recent results by Masri and Kim-Masri...
HYBRID SUP-NORM BOUNDS FOR HECKE-MAASS CUSP FORMS     Cutting-edge  characteristic value  hyperbolic measure       font style='font-size:12px;'> 2015/8/25
Let f be a Hecke–Maass cusp form of eigenvalue λ and square-free level N. Normalize the hyperbolic measure such that vol(Y0(N)) = 1 and the form f such that kfk2 = 1. It is shown that kfk1 ≪1...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. In the case of real groups, the results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. This conforms to the Lefschetz principle which states that what is true for real groups is al...
Analysis of Systematic Scan Metropolis Algorithms Using Iwahori–Hecke Algebra Techniques。
Hecke Algebras     Hecke  Algebras       font style='font-size:12px;'> 2015/7/6
By a Hecke Algebra we will usually mean an Iwahori Hecke algebra. We will now explain what these are. A Coxeter group consist of data (W; I) where W is a group and I = fs1;    ; srg of elements o...
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
Asymptotic Hecke algebras and involutions     Asymptotic Hecke algebras  involutions  Representation Theory       font style='font-size:12px;'> 2012/4/17
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by ...
Smith theory and geometric Hecke algebras     Smith theory  geometric Hecke algebras  Representation Theory       font style='font-size:12px;'> 2011/9/15
Abstract: In 1960 Borel proved a "localization" result relating the rational cohomology of a topological space X to the rational cohomology of the fixed points for a torus action on X. This result and...

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