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Spherical varieties and langlands duality

http://www.stat.ucla.edu/~ywu/mirror.pdf Web19. mar 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.

RELATIVE LANGLANDS Slogan: the relative Langlands program …

Web6. feb 2024 · Given a compact connected Riemann surface X equipped with an anti-holomorphic involution and a complex semisimple Lie group G equipped with a real structure, we define anti-holomorphic involutions on the moduli space of G-Higgs bundles over X. We describe how the various components of the fixed point locus match up, as … Web26. aug 2024 · Let X denote a projective variety over an algebraically closed field on which a linear algebraic group acts with finitely many orbits. Then, a conjecture of Soergel and Lunts in the setting of Koszul duality and Langlands' philosophy, postulates that the equivariant derived category of bounded complexes with constructible equivariant cohomology … fz3-700 https://ciclosclemente.com

SPHERICAL VARIETIES, L-FUNCTIONS, AND CRYSTAL BASES

Web4. nov 2024 · According to the Langlands functoriality conjecture, broadened to the setting of spherical varieties (of which reductive groups are special cases), a map between L … Webconnects these dualities in more general and modern ways from various areas of mathematics. In the classical Langlands program, the correspondence between elliptic curves and automorphic forms are all about the correspondence between the eigenvalues of Frobenius operator and Hecke operator. 4 WebThe 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. … fz2999

The dual group of a spherical variety - ams.org

Category:Hall algebras of curves, commuting varieties and Langlands duality

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Spherical varieties and langlands duality

SPHERICAL VARIETIES AND LANGLANDS DUALITY …

Web2. júl 2024 · Dennis Gaitsgory and David Nadler, Spherical varieties and Langlands duality (English, with English and Russian summaries), Mosc. Math. J. 10 (2010), no. 1, 65-137, 271, DOI 10.17323/1609-4514 ... Webthe 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.

Spherical varieties and langlands duality

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Web5. máj 2009 · This is the first in a series of papers devoted to describing the category of sheaves on the affine flag manifold of a simple algebraic group in terms of the Langlands … WebSpherical varieties, L-functions, and crystal bases Sept 30 Olivier Dudas (CNRS) Macdonald polynomials and decomposition numbers for finite unitary groups Oct 7 Viktor Ostrik (U. Oregon, Eugene) Two dimensional field theories and partial fractions Oct 14 Maarten Solleveld (Radboud Universiteit) Bernstein components for p-adic groups Oct 21

Web28. feb 2024 · Passing to the level of Lie algebras, the Langlands duality changes the types of simple factors of the Lie algebra by taking the transpose of the corresponding Cartan matrices. For a reference see J.W. Cogdell's article Dual groups and Langlands Functoriality, section $1$ and table $1$. Share. Weblanglands duality spherical variety many aspect finite-dimensional representation perverse sheaf algebraic model affine spherical g-variety certain tensor category dual group loop …

Web19. mar 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 …

WebQuantization and Duality for Spherical Varieties David Ben-Zvi University of Texas at Austin Lie Groups Seminar MIT May 2024. Overview ... recast relative Langlands program as …

Web10. nov 2006 · Spherical varieties and Langlands duality. 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-variety X. The space Z may be thought of as an … We establish a local Langlands correspondence for all irreducible … fz2x0.2Web10. sep 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 … att lineman jobWeb11. júl 2024 · Recent decades have brought tremendous progress on the project of endoscopy, the extension of the Langlands program to the “relative” setting of spherical varieties and other related spaces, numerous successful “explicit” methods (such as the theta correspondence) to construct functoriality, novel ideas “beyond endoscopy”, and ... att lehigh valley mall