In the mathematical study of Lie algebras and Lie groups, a Satake diagram is a generalization of a Dynkin diagram introduced by Satake whose configurations classify simple Lie algebras over the field of real numbers. The Satake diagrams associated to a Dynkin diagram classify real forms of the complex Lie algebra corresponding to the Dynkin diagram. More generally, the Tits index or Satake–Tits diagram of a reductive algebraic group over a field is a generalization of the Satake diagram to arbitrary fields, introduced by Tits, that reduces the classification of reductive algebraic groups to that of anisotropic reductive algebraic groups. Satake diagrams are not the same as Vogan diagrams of a Lie group, although they look similar. (Wikipedia).
Cotangent Graph Interpretation: Dynamic Illustration (Desmos)
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From playlist Desmos Activities, Illustrations, and How-To's
Chapter 7 - Venn Diagrams 101 - IB Math Studies (Math SL)
Hello and welcome to What Da Math This video is an introduction to venn diagrams from Chapter 7 of Haese edition of IB Math Studies book. SUBSCRIBE for more math and math studies videos Join me on Twitter: http://twitter.com/WhatDaMath
From playlist IB Math Studies Chapter 7
In this video I show you how to use the tables function in Desmos.
From playlist Biomathematics
In this video we review the basic components of a parabola
From playlist Parabolas
Statistics for Families of Automorphic Representations - Sug-Woo Shin
Sug-Woo Shin Institute for Advanced Study March 3, 2011 Let G be a connected reductive group over Q such that G(R) has discrete series representations. I will report on some statistical results on the Satake parameters (w.r.t. Sato-Tate distributions) and low-lying zeros of L-functions for
From playlist Mathematics
Shading Venn Diagrams with Two and Three Sets: Unions and Intersections
This video explains how to shade regions of a Venn diagram to show the resulting set of set operations.
From playlist Sets (Discrete Math)
Cosine Graph Interpretation: Dynamic Illustration (Desmos)
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From playlist Desmos Activities, Illustrations, and How-To's
Isosceles Triangle Theorem: Dynanic Desmos Illustrator
Isosceles triangle theorem animation & explorer made in #Desmos. https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb #MTBoS #ITeachMath #math
From playlist Desmos Activities, Illustrations, and How-To's
F. Andreatta - The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part4)
We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersecti
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Hiraku Nakajima - Ring objects in the derived Satake category from Coulomb branches
Abstract: In my joint work with Braverman and Finkelberg, we proposed a mathematical definition of Coulomb branches of SUSY gauge theories as Borel-Moore homology of certain varieties which have maps to affine Grassmannians. This construction gives ring objects in derived Satake categorie
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
The union of A and B, an eternal operation of set theory done countless times before. Some people find it helpful to represent this operation by using set venn diagrams and today we will be doing just that! Set theory venn diagrams, venn diagram sets, or whatever other phrase you might typ
From playlist Set Theory
Marco Mackaay: Certain subquotients of affine A 2
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will first recall the correspondence between the simple transitive 2-represen- tations of Uq(sl2)-mod, for q an even root of unity, and those of dihedra
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Laurent Manivel - The Satake correspondence in quantum cohomology
The Satake isomorphism identi es the irreducible representations of a semisimple algebraic group with the intersection cohomologies of the Schubert varieties in the ane Grassmannian of the Langlands dual group. In the very special case where the Schubert varieties are smooth, one gets an i
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
D. Gaitsgory - "fundamental local equivalence" for quantum geometric Langlands
The key role in the usual geometric Langlands is played by the geometric Satake equivalence, which says that the category of spherical perverse sheaves on the affine Grassmannian Gr_G of the group G is equivalent to the category Rep(G^L) of algebraic representations of the Langlands dual G
From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday
Laura Rider: Modular Perverse Sheaves on the affine Flag Variety
There are two categorical realizations of the affine Hecke algebra: constructible sheaves on the affine flag variety and coherent sheaves on the Langlands dual Steinberg variety. A fundamental problem in geometric representation theory is to relate these two categories by a category equiva
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Geordie Williamson: Miraculous Treumann-Smith theory and geometric Satake
Abstract: This talk will be about geometric approaches to the representation theory of reductive algebraic groups in positive characteristic p. A cornerstone of the geometric theory is the geometric Satake equivalence, which gives an incarnation of the category of representations as a cate
From playlist Geordie Williamson: Representation theory and the Geometric Satake
Towards derived Satake equivalence for symmetric varieties - Tsao-Hsien Chen
Workshop on Representation Theory and Geometry Topic: Towards derived Satake equivalence for symmetric varieties Speaker: Tsao-Hsien Chen Affiliation: University of Minnesota; Member, School of Mathematics Date: April 03, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Robert Cass: Perverse mod p sheaves on the affine Grassmannian
28 September 2021 Abstract: The geometric Satake equivalence relates representations of a reductive group to perverse sheaves on an affine Grassmannian. Depending on the intended application, there are several versions of this equivalence for different sheaf theories and versions of the a
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
Drawing Sets complete in venn diagram
drawing venn diagram with geogebra, teh video going to guide how draw venn diagram from geogebra. dont forget subscribe to others our videos
From playlist Geogebra Videos