2024 Spherical varieties and langlands duality

Spherical varieties and langlands duality

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August undefined, 2024

WebFeb 6, 2024 · The gerbe of Higgs bundles. Transform Groups 7, 109–153 (2002) Article MathSciNet MATH Google Scholar. Donagi R., Pantev T.: Langlands duality for Hitchin systems. Invent Math. 189, 653–735 (2012) Article ADS MathSciNet MATH Google Scholar. Faltings G.: Stable G -bundles and projective connections. J. WebNov 10, 2006 · Spherical varieties and Langlands duality D. Gaitsgory, D. Nadler Published 10 November 2006 Mathematics arXiv: Representation Theory Let G be a connected …

RELATIVE LANGLANDS Slogan: the relative Langlands …

WebMar 19, 2012 · We prove that the stable parts of the parabolic Hitchin complexes for Langlands dual group are naturally isomorphic after passing to the associated graded of … WebTo an arbitrary aﬃne spherical G-variety X, one may associate a horospherical variety Xhoro. Its associated subgroup Hˇhoro turns out to be a maximal torus in the subgroup Hˇ associated to X. 2000 Mathematics Subject Classiﬁcation: 22E67, 14M17 Keywords and Phrases: Loop spaces, spherical varieties, Langlands duality phish moon palace

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WebSpherical varieties and Langlands duality Gaitsgory, D. ; Nadler, D. Let $G$ be a connected reductive complex algebraic group. This paper is devoted to the space $Z$ of … WebJan 18, 2004 · Spherical varieties and Langlands duality D. Gaitsgory, D. Nadler Mathematics 2006 Let G be a connected reductive complex algebraic group. This paper is … WebIn the current proposal the PI proposes to develop an analog of several aspects of the so-called Langlands duality to affine Kac-Moody groups. More specifically, the PI proposes to study the spherical and Iwahori Hecke algebras for affine Kac-Moody groups as well as their geometric versions (some parts of that program have already been ... ts rtc bus pass online apply student pass

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SPHERICAL VARIETIES AND LANGLANDS DUALITY …

Web4 rows · Nov 10, 2006 · Spherical varieties and Langlands duality. Let G be a connected reductive complex algebraic group. ... PDE-constrained inverse problems are some of the most challenging and … WebSpherical varieties are algebraic varieties equipped with an action of a certain type of algebraic group G subject to a ﬁniteness condition. The type of G will be called reductive. … phish more lyricsWebToric and ﬂag varieties are both examples of spherical varieties (as expected). Spherical varieties are intimately related to the Langlands program (both geometric and arithmetic). Executive summary: classically one studies automorphic forms on the upper half-plane by calculating period integrals. Now one would like to generalize this, and ... phish msg doors

"WebMar 19, 2012 · We prove that the stable parts of the parabolic Hitchin complexes for Langlands dual group are naturally isomorphic after passing to the associated graded of the perverse filtration. Moreover, this isomorphism intertwines the global Springer action on one hand and Chern class action on the other. " - Spherical varieties and langlands duality

Spherical varieties and langlands duality

Geometric Langlands duality and representations of algebraic …

http://www.bvans.net/owr_1305.pdf WebELECTRO-MAGNETIC DUALITY AND GEOMETRIC LANGLANDS DUALITY 3 1.1.2. New perspectives. (1) Prediction of elements of the geometric Langlands program for surfaces. This is the most exciting aspect as mathematicians have not been making much progress on this question, at least until the recent work of Braverman and Finkel-berg.

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WebSep 8, 2024 · Spherical Varieties and Langlands Duality. Article. Dec 2006; MOSC MATH J; Dennis Gaitsgory; David Nadler; Let G be a connected reductive complex algebraic group. This paper is devoted to the ... WebSpherical varieties and Langlands duality - CORE Reader

Webpaper studies the behavior of global Springer representations under Langlands duality. The main results in [Yun11] on which this paper relies will be reviewed in x1.3. 1.1 Motivations Let Gand G_be almost simple algebraic groups over an algebraic closed eld kwith dual root systems. We call them a pair of Langlands dual groups. http://www-personal.umich.edu/~charchan/seminar/

WebSep 10, 2011 · We can view this isomorphism as a version of the geometric Langlands duality in the formal neighborhood of the trivial local system, for the group GL r . We …

WebNov 10, 2006 · Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical G...

Web9/12 Overview on the absolute and relative Langlands programs + planning meeting [speaker: Tasho Kaletha] 9/19 Structure theory of homogeneous spherical varieties [L, BP] [speaker: Robert Cass] Abstract: We present Luna's classification of homogeneous spherical varieties for a reductive group G, i.e., spherical varieties of the form G/H. phish most famous songWebthe classi cation of spherical varieties to that of wonderful varieties [11]. Knop proved that G=Hhas a wonderful compacti cation in [7, Corollary 7.6]. We now indicate why the four choices for Labove satisfy (L1) and (L2). If K ... Spherical varieties and Langlands duality, Mosc. Math. J. 10:1 (2010), 65{137. phish msg 2013WebThe de nition of a spherical variety either asks for an open orbit for the Borel subgroup, or it has a multiplicity 1 property for algebraic representations. In the case of G=H, this asks for every irreducible to appear at least once. So this is a nice niteness condition. Examples of spherical varieties are given by the following. phish movieWebThe point is that spherical varieties have good combinatorics: they have now been classi ed (over C) in a way analogous to the classi cation of split reductive groups via root datum. … phish most popular songWebadshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A tsrtc cancel ticketWebHyperspherical varieties Microlocal perspective: focus on M = T /X /g not X. a ne Hamiltonian variety G M !g ishyperspherical2 if O(M)G is Poisson commutative. Require G … tsrtc bus typesWebSep 3, 2010 · Spherical Hall algebras of a weighted projective curve. ... Let H sph ⊂ H f in be the subalgebra generated by K and the characteristic functions 1 vec 1,d and 1 0,d of the connected components ... ts rtc bus timings