On the satake isomorphism
Web9 de jan. de 2002 · Download PDF Abstract: The geometric Satake isomorphism is an equivalence between the categories of spherical perverse sheaves on affine Grassmanian and the category of representations of the Langlands dual group. We provide a similar description for derived categories of l-adic sheaves on an affine flag variety which are … WebBegins with an article on the geometric Satake isomorphism, a key theorem in the geometric Langlands program. Part of the book series: Lecture Notes in ... Starting with a very detailed article by P. Baumann …
On the satake isomorphism
Did you know?
Web27 de mai. de 2024 · In this paper, we give new proofs for some results of that paper, one based on the theory of J -rings and one based on the known character formula for … Web23 de mar. de 2010 · On the Satake isomorphism; By Benedict H. Gross; Edited by A. J. Scholl, University of Durham, R. L. Taylor , Harvard University, Massachusetts; Book: …
Web20 de jul. de 2014 · Instead, we prove that, if the derived subgroup of \( { \mathrm G}\) is simply connected, our isomorphism is an inverse to the Satake transform of . We give … WebThe Satake isomorphism is a map H(G;K) !H(M;oM) de ned by sending f2H(G;K) to the function Sf, de ned by (Sf)(m) = (m)1=2 Z N f(mn)dn= (m) 1=2 Z N f(nm)dm: This …
Webconstruction of the Satake isomorphism, at least in the case that Gis split. The next section will focus on the construction of the Langlands dual group LG, which allows us to generalize Satake’s theorem to the quasi-split case and also formulate Langlands functoriality. Assume now that Gis split (and hence also quasi-split). WebTwisted geometric Satake equivalence. Twisted geometric Satake equivalence. 期刊名称: Journal of the Institute of Mathematics of Jussieu 作者: Finkelberg, Michael,Lysenko, Sergey 年份: 2010年 期号: 第04期 关键词: geometric Langlands program; Satake isomorphism; monodromic perverse sheaves. 内容由中国教育图书 ...
WebOn Matrix Coe cients of the Satake Isomorphism 3 reduced expression of a xed ˝). Denote by G(˝) the set f˙k j f˙jgk j=0 2 Gg. We will use the following result of Dabrowski:
WebCoefficient ring of Satake isomorphism. Let G be a split reductive group over local field F, G L be the (complex) Langlands dual group of G. Denote H to be the Z -Hecke algebra of G, that is the ring of G ( O F) -biinvariant Z -valued functions on G ( F). Let R ( G L) be the Grothendieck ring of finite dimensional representation of G L. dating someone with aspergers i feel aloneWeb暨南大学,数字图书馆. 开馆时间:周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 bj\u0027s tarrytown roadWebhere. What we will do is some calculations that suggest the general outline of the proof of Satake’s theorem. Suppose we have a decomposition K ($)K= ‘ i x iK. Since G(F) = … bj\\u0027s tarrytown roadWeb25 de jul. de 2003 · Let G be a general linear group over a local field F. We consider the matrix describing the Satake isomorphism with respect to natural bases. We give a simple proof for the positivity of all matrix coefficients that are not obviously zero. The arguments are elementary and more direct than Rapoport's original proof. dating someone with asperger\u0027s redditWebLet 𝑄 Q italic_Q be the set of all translations in 𝑊 W italic_W, that is the set of all 𝑡 𝑊 t\in W italic_t ∈ italic_W such that the 𝑊 W italic_W -conjugacy class of 𝑡 t italic_t is finite. It is known that 𝑄 … dating someone with anxiety articleWebLet be a reductive algebraic group over a local field or a global field . It is well known that there exists a non-trivial and interesting representation theory of the group as well as the theory of automorphic form… bj\\u0027s swot analysisWebAbstract In a 1983 paper, the author has established a (decategorified) Satake equivalence for affine Hecke algebras. In this paper, we give new proofs for some results of that … dating someone with asperger