Geometric langlands in prime characteristic

Author: ihlx

August undefined, 2024

Web2024 « Affine Grassmannians and the geometric Satake in mixed characteristic », Annals of Mathematics, vol. 185, n o 2,‎ 2024, p. 403-492 (DOI; 2024 (avec Tsao-Hsien Chen), « Geometric Langlands in prime characteristic », Compositio Mathematica, vol. 153, n o 2,‎ 2024, p. 395-452 (zbMATH WebGEOMETRIC LANGLANDS IN PRIME CHARACTERISTIC TSAO-HSIEN CHEN, XINWEN ZHU Abstract. Let G be a semisimple algebraic group over an algebraically closed ﬁeld k, whose characteristic is positive and does not divide the order of the Weyl group of G, and let G˘ be its Langlands dual group over k. Let C be a smooth pro-

Geometry, Representation Theory, and the Langlands Program

WebJul 19, 2024 · Peter Scholze helped open a new front in the “Langlands program,” collapsing the ground between the worlds of numbers and geometry. Barbara Frommann / Hausdorff Center for Mathematics, University of Bonn. Scholze’s theory was based on special number systems called the p -adics. The “p” in p -adic stands for “prime,” as in … WebThis equivalence established by Arkhipov and the first author fits the framework of local geometric Langlands duality. The latter compatibility allows one to apply Frobenius purity theorem to deduce the desired properties of the basis. ... TITLE = {Localization of modules for a semisimple {L}ie algebra in prime characteristic}, NOTE = {with an ... service catalog open source

Hitchin Fibrations, Geometric Langlands

WebGeometric Langlands in Prime Characteristic by Tsao-Hsien Chen Submitted to the Department of Mathematics on May 1, 2012, in partial fulfillment of the requirements for … WebLie algebras in positive characteristic: geometry and Langlands duality 6pp. (Seattle Algebraic Geometry Summer Institute, 8/05) Geometric Langlands in positive characteristic (Vienna Geometric Langlands and Physics workshop, 1/07) Takuro Mochizuki: Twistor structures and harmonic bundles. (Vienna Geometric Langlands … service cb credit lyonnais

Figurative Language Examples: How to Use These 5 Common …

Mirabolic Langlands duality and the quantum Calogero–Moser …

WebDec 27, 2000 · Let X be a smooth, complete, geometrically connected curve over a field of characteristic p. The geometric Langlands conjecture states that to each irreducible rank n local system E on X one can attach a perverse sheaf on the moduli stack of rank n bundles on X (irreducible on each connected component), which is a Hecke eigensheaf … Webthe Langlands program which originally motivated the development of a geometric program. Therefore, we will give an introduction to the arithmetic setting and how it relates to the geometric setting we have been studying this semester. The Langlands correspondence gives an equivalence between two very di erent service category code for aoc-4WebOct 30, 2009 · This equivalence may be understood as a tamely ramified form of the geometric Langlands equivalence. When X has genus 1, this equivalence generically solves (in the sense of noncommutative geometry) the quantum Calogero–Moser system. ... Singular localization and intertwining functors for reductive Lie algebras in prime … service cat certification free

"Web(with An Huang, Bong H. Lian) "Period integrals and the Riemann–Hilbert correspondence", Journal of Differential Geometry 104 (2016), No. 2, 325–369. (with Tsao-Hsien Chen) "Geometric Langlands in prime characteristic", Compositio Mathematica 153 (2024), No. 2, 395–452. Примітки " - Geometric langlands in prime characteristic

Geometric langlands in prime characteristic

Non-abelian Hodge theory for algebraic curves in characteristic

WebOct 26, 2011 · The geometric Satake equivalence realized the category of representations of the Langlands dual group Ğ in terms of spherical perverse sheaves (or D-modules) on the affine Grassmannian Gr G = G ... WebFeb 12, 2006 · Title: Geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case. Authors: Roman Bezrukavnikov, Alexander Braverman. Download PDF Abstract: Let X be a smooth projective curve over an algebraically closed field k of characteristic p>0. In this paper we explore the relation between algebraic D …

Did you know?

Webof semi-simple Lie algebras in positive characteristic (the so called ”Lusztig’s ... Ideas of that project play an important role in the new investigation of the relation of geometric Langlands duality to t-structures, stabilities and quantum ... of semisimple Lie algebras in prime characteristic and noncommutative Springer resolution ... WebWhile there are 12 common types, the five main branches of the figurative tree include metaphors, similes, personification, hyperbole, and symbolism. One of the best …

WebMar 31, 2016 · View Full Report Card. Fawn Creek Township is located in Kansas with a population of 1,618. Fawn Creek Township is in Montgomery County. Living in Fawn … WebAs is widely known to experts (e.g. see [FW]), the geometric Langlands correspondence for general G𝐺Gitalic_Gshould depend on a choice of theta characteristic of the curve C𝐶Citalic_C. Let us fix a square root κ𝜅\kappaitalic_κof ωCsubscript𝜔𝐶\omega_{C}italic_ω start_POSTSUBSCRIPT italic_C end_POSTSUBSCRIPT.

WebGeometric Langlands in prime characteristic - Volume 153 Issue 2. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you … WebJan 19, 2012 · Bezrukavnikov, R., Braverman, A.: Geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case. Pure Appl. Math. Q. 3(1), 153–179 (2007), part 3 ... Witten, E.: Electric-magnetic duality and the geometric Langlands program. Commun. Number Theory Phys. 1(1), 1–236 (2007) MathSciNet MATH Google …

WebMar 16, 2014 · Show abstract. ... The main results of [7] shows that for a smooth projective curve X over an algebraically closed field k of positive characteristic, the stack of local …

WebGeometric Langlands in prime characteristic Tsao-Hsien Chen, Xinwen Zhu Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, … service catalog - uhg employee centerWebargument. We will be working over an algebraically closed eld kof characteristic 0. Let Xbe a smooth and complete curve over k, and Ga reductive group. We let G denote the Langlands dual group, also viewed as an algebraic group over k. 0.2.1. Formulation of the conjecture. The categorical geometric Langlands conjecture is sup- service cctv semarang baratWebMar 17, 2014 · Geometric Langlands in prime characteristic @article{Chen2014GeometricLI, title={Geometric Langlands in prime characteristic}, … the temple of twilight wikiWebAug 12, 2016 · The main goal of the courses will be the Langlands duality for Hitchin systems established by Donagi and Pantev, its possible applications to the geometric Langlands program via nonabelian … service category table in sapWebGEOMETRIC LANGLANDS AND NON-ABELIAN HODGE THEORY 87 The work surveyed here is based on an abelianization of the geometric Langlands conjecture in terms of Higgs bundles. A Higgs bundle is a pair (E,θ) consisting of a vector bundle E on C with a ω C-valued endomorphism θ: E → E ⊗ω C, where ω C is the canonical bundle of C. More … service category in sapWebDive into the research topics of 'Geometric Langlands in prime characteristic'. Together they form a unique fingerprint. Derived Category Mathematics. Modulus Mathematics. … the temple of the windsWebXinwen Zhu (Chinese: 朱歆文; born 1982 in Sichuan) is a Chinese mathematician and professor at Stanford University.His work deals primarily with geometric representation theory and in particular the Langlands program, tying number theory to algebraic geometry and quantum physics.. Biography. Zhu obtained his A.B. in mathematics from Peking … the temple of vecna