Geometric langlands

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August undefined, 2024

WebGeometric Langlands Seminar, spring 2024: a continuation of David Ben-Zvi's fall 2016 class on the geometric Langlands program. Geometric Satake Seminar, fall 2024: on the affine Grassmannian, perverse sheaves and their convolution, the Tannakian formalism, and the proof of the geometric Satake theorem. Geometry and string theory seminars ... WebLanglands.html. 285P Introduction to the Geometric Langlands Program. Spring 2024. This course will discuss the categorical version of the Langlands correspondence for a complex curve. The lectures will be on zoom at 9am-10:50am on Mondays and Wednesdays. More details to come.

Geometric Langlands Office Hours - Harvard University

WebJan 24, 2004 · nally, our work can be viewed as providing the unramiﬁed local geometric Langlands correspondence. In this context it is crucial that one works on the geometric side also over ﬁelds other than C; this is easily done as the aﬃne Grassmannian can be deﬁned even over the integers. The modiﬁcations needed to do so are explained in … Webgebraic geometry, mathematical physics, and quantum topology. One way to study this representation theory is through the geometric Satake correspondence (also known as geometric Langlands duality). This correspondence relates the geometry of spaces called a ne Grassmannians with the representation theory of reductive groups. myeloma screening blood tests

Langlands/Frenkel and Some Other Things Not Even Wrong

WebThis is the aspect of the geometric Langlands theory that has been developed the most. It will be discussed in Sects. 2 and 3. 1.2.2. Next there is the local rami ed geometric … WebProperties Abelian case. In the case where G G is the multiplicative group, hence where all bundles in question are line bundles, geometric Langlands duality is well understood … Web(U. of Chicago Geometric Langlands seminar, 10/99) Nearby Hecke Functors and Kac-Moody Modules 4pp. (U. of Chicago Geometric Langlands seminar, 6/00) Triangulated … official holidays in bulgaria 2020

LMS Lectures on Geometric Langlands - University of Texas at …

Lecture Notes - Purdue University

WebJan 18, 2004 · Download PDF Abstract: In this paper we give a geometric version of the Satake isomorphism. Given a connected complex reductive algebraic group, we show that the category of representations of its Langlands dual is naturally equivalent to a certain category of perverse sheaves on the complex affine Grassmannian. WebOct 28, 2015 · Thesis and area of study in geometric representation theory; advisor is Prof. Dennis Gaitsgory Masters Thesis on automorphic … myeloma protein countWebAug 25, 2024 · Anyway to conclude I believe the correct statement of local geometric Langlands is an equivalence of 2-categories. D ( L G) − m o d ≃ 2 I n d C o h N ( C o n n G ∨ ( D ⋆)) (plus of course a load of compatibilities, with Hecke operators, with Whittaker normalization, and more.) Share. Cite. Improve this answer. Follow. edited Aug 25 ... official holidays in bulgaria 2022

"WebApr 14, 2024 · Abstract We explain how to calculate the dg algebra of global functions on commuting stacks using tools from Betti Geometric Langlands. Our main technical … " - Geometric langlands

Geometric langlands

Parallel surface defects, Hecke operators, and quantum

WebJun 28, 2016 · Betti Geometric Langlands. We introduce and survey a Betti form of the geometric Langlands conjecture, parallel to the de Rham form developed by Beilinson-Drinfeld and Arinkin-Gaitsgory, and the Dolbeault form of Donagi-Pantev, and inspired by the work of Kapustin-Witten in supersymmetric gauge theory. The conjecture proposes … WebGeometric Langlands Seminar Normally the seminar meets on Mondays and/or Thursdays in room E206, 4:30 pm--??, where "??" denotes the time when we get tired (e.g., 7:30 …

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http://www.stat.ucla.edu/~ywu/mirror.pdf WebLanglands program is a web of far-reaching and influential conjectures about connections between number theory and geometry. Proposed by Robert Langlands at IAS (1967, 1970), it seeks to relate Galois ...

WebGeometric Langlands on TV: In Episode 11 of Season 4 of Fox's "24", we find Drinfeld modules, the central construction in the solution of the Langlands program over function … WebApr 21, 2006 · The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory …

WebGeometric Langlands Office Hours Announcements & Schedule Please email me if you want to be added to (or removed from) the mailing list Past seminars in 2024 May 23 . … WebNOTES ON GEOMETRIC LANGLANDS: GENERALITIES ON DG CATEGORIES DENNIS GAITSGORY Introduction The purpose of this paper is to set up a language that will be used in the rest of the notes pertaining to DG categories and functors between them. A more complete treatment can be found in Lurie’s book and the DAGs. 1. DG categories

WebThe geometric Langlands Program 33 3. The geometric Langlands conjecture 33 3.1. Galois representations as local systems 33 3.2. Ad eles and vector bundles 35 3.3. From …

myeloma screen cskWebsee the physical geometric Langlands correspondence is indeed analogous to the picture we have in mathematics. Starting with N= 4 super Yang-Mills theory on a four-dimensional manifold, we claim that the geometrical Langlands duality is physically understandable via mirror symmetries between myeloma screen blood test bottleWebDec 14, 2004 · The geometric Langlands program involves reformulating the function field case in such a way that it still makes sense when you replace the curve over a finite field by a curve over the field of complex numbers. This idea goes back to Drinfeld and Laumon in the 1980s, and has evolved into a specific conjecture which was recently proved by ... official holidays in egypt 2022WebRobert Langlands’s visionary program has had a deep influence in mathematics and parts of theoretical physics. Born on October 6, 1936, in British Columbia, Robert Langlands grew up in a small town where his … official holidays in china 2019WebFeb 11, 2024 · Posted on February 11, 2024 by woit. There’s various news to report on the geometric Langlands front, spanning number theory to quantum field theory: Minhyong Kim has been running an Online Mini-Conference on the Geometric Langlands Correspondence for the past month, and Dennis Gaitsgory has been doing something … myeloma screen bloods listWebGeometric Langlands, Khovanov Homology, String Theory. In 2006, Edward Witten, Charles Simonyi Professor in the School of Natural Sciences, cowrote with Anton Kapustin a 225-page paper, “Electric-Magnetic Duality and the Geometric Langlands Program ,” on the relation of part of the geometric Langlands program to ideas of the duality between ... official holidays in china 2022WebMay 9, 2013 · On Geometric Langlands Correspondence. The Geometric Langlands correspondence introduced by Drinfeld and Laumon conjectures a 1 to 1 correspondence between (A) local systems on a projective smooth curve over a field and (B) (Hecke eigen-)perverse sheaves on the algebraic stack of vector bundles of rank n on the curve (or … official holidays in bulgaria 2023