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Spherical varieties

Web10. júl 2024 · Spherical varieties (spherical homogeneous spaces and spherical embeddings) were considered in works of Luna, Vust, Brion, Knop, Losev, and others. The classification of spherical homogeneous spaces over algebraically closed fields of characteristic $0$ was completed in the works of Losev [ 37 ] and Bravi and Pezzini [ 13 … Web1. Spherical varieties 1.1. What is a spherical variety? A G-variety Xover F qis called spherical if X kis a normal variety with an open dense orbit of a Borel B kˆG k after base change to k. One should think of this as a niteness property. For example, Brion proved the above de nition is equivalent to X k having nitely many B k orbits. The ...

Visible actions of compact Lie groups on complex spherical varieties

Web10. jún 2000 · These varieties include Grassmannians, ag manifolds, and homogeneous spaces G=P and their Schubert subvarieties, toric varieties, varieties of complete quadrics … WebSymmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties … interview outcome follow up email https://roschi.net

EUDML Classification of spherical varieties

WebEvery flag variety, and indeed every projective variety homogeneous under a linear algebraic group, is a Mori Dream Space. In fact, there is a class of varieties that contains both projective homogeneous varieties and toric varieties (another large class of Mori Dream Spaces), namely "spherical varieties". Web29. apr 2024 · M. Huruguen, Toric varieties and spherical embeddings over an arbitrary field, J. Algebra 342 (2011), 212–234. Article MathSciNet Google Scholar J. Jahnel, The … WebWe give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and … interview outcome

[0905.4244] Spherical functions on spherical varieties - arXiv.org

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Spherical varieties

Is there a Chevalley map for spherical varieties? - MathOverflow

Web18. mar 2024 · Braverman and Kazhdan proposed a conjecture, later refined by Ngô and broadened to the framework of spherical varieties by Sakellaridis, that asserts that affine … Web14. nov 2024 · A spherical variety is a normal variety X together with an action of a connected reductive affine algebraic group G, a Borel subgroup B ⊂ G, and a base point x 0 ∈ X such that the B -orbit of x 0 in X is a dense open subset of X.

Spherical varieties

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Web5. máj 2024 · For arbitrary spherical varieties the answer is no in general. If my memory serves me right, the spherical variety $Sp (4,\mathbb C)/ (\mathbb C^*\times SL (2,\mathbb C))$ is a counterexample. As far as I know, the $H$ -orbit structure of $G/H$ is still unknown in full generality. Web26. máj 2009 · Spherical functions on spherical varieties. Yiannis Sakellaridis. Let X=H\G be a homogeneous spherical variety for a split reductive group G over the integers o of a p …

Web0 Likes, 0 Comments - Ralf im Wald (@mit_ralf_im_wald) on Instagram: "Schweizer Wasserbirne voller Knospen Die Schweizer Wasserbirne gehört zu der Sorte der ... Web1. dec 2014 · Abstract. Brion proved that the valuation cone of a complex spherical variety is a fundamental domain for a finite reflection group, called the little Weyl group. The principal goal of this paper ...

WebIn particular, we discuss the close relationship between log homogeneous varieties and spherical varieties, and we survey classical examples of spherical homogeneous spaces … Web29. sep 2024 · We review some aspects of the geometry of spherical varieties. We first describe the structure of B-orbits. Using the local structure theorems, we describe the …

Spherical embeddings are classified by so-called colored fans, a generalization of fans for toric varieties; this is known as Luna-Vust Theory. In his seminal paper, Luna (2001) developed a framework to classify complex spherical subgroups of reductive groups; he reduced the classification of spherical subgroups to wonderful subgroups.

Web27. feb 2024 · The dual group of a spherical variety. Friedrich Knop, Barbara Schalke. Let be a spherical variety for a connected reductive group . Work of Gaitsgory-Nadler strongly … new hampshire turkey season 2023Web12 May - 18 May 2013. This workshop brought together, for the first time, experts on spherical varieties and experts on automorphic forms, in order to discuss subjects of common interest between the two fields. Spherical varieties have a very rich and deep structure, which leads one to attach certain root systems and, eventually, a “Langlands ... new hampshire tvWebTY - JOUR AU - Bravi, Paolo TI - Classification of spherical varieties JO - Les cours du CIRM PY - 2010 PB - CIRM VL - 1 IS - 1 SP - 99 EP - 111 AB - We give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and illustrating some of the ... new hampshire tubing parksnew hampshire tubinghttp://relaunch.hcm.uni-bonn.de/fileadmin/perrin/spherical.pdf new hampshire tv channelsWebIn short, the visibility is a geometric condition that assures the multiplicity-freeness property. In this article we consider the converse direction when U U is a compact real form of a connected complex reductive algebraic group G G and X X is an irreducible complex algebraic G G -variety. In this setting the multiplicity-freeness property of ... new hampshire turnpikeWeb29. feb 2012 · In its initial conception, as given in the book [102] of Sakellaridis-Venkatesh, the relative Langlands program is concerned with a spherical subgroup H ⊂ G, so that X = H\G is a spherical... new hampshire travel