Scheme theory

Equivariant sheaf

In mathematics, given an action of a group scheme G on a scheme X over a base scheme S, an equivariant sheaf F on X is a sheaf of -modules together with the isomorphism of -modules that satisfies the cocycle condition: writing m for multiplication, . (Wikipedia).

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (5 of 35) What is an Eigenvector?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show (in general) what is and how to find an eigenvector. Next video in this series can be seen at: https://youtu.be/SGJHiuRb4_s

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (10 of 35) Bases and Eigenvalues: 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will explore and give an example of finding the basis for the eigenspace associated with matrix A and eigenvalue=1. Next video in this series can be seen at: https://youtu.be/Bz9BUM1fRe0

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Linear Algebra - Lecture 33 - Eigenvectors and Eigenvalues

In this lecture, we define eigenvectors and eigenvalues of a square matrix. We also prove a couple of useful theorems related to these concepts.

From playlist Linear Algebra Lectures

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (13 of 35) Basis=? for a 3x3 Matrix: Ex. 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will find basis=? for a 3x3 matrix A and eigenvalue=1. Next video in this series can be seen at: https://youtu.be/6xyeRLZ6HJM

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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10A An Introduction to Eigenvalues and Eigenvectors

A short description of eigenvalues and eigenvectors.

From playlist Linear Algebra

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A03 Eigenvalues

The method of determining eigenvalues as part of calculating the sets of solutions to a linear system of ordinary first-order differential equations.

From playlist A Second Course in Differential Equations

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Geordie Williamson: Langlands and Bezrukavnikov II Lecture 17

SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro

From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence

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Davesh Maulik - Introduction to Donaldson-Thomas theory (Part 1)

We will give an introduction to Donaldson-Thomas theory and some basic tools and computations. In the last lecture, we hope to explain some aspects of the proof of the GW/DT correspondence for toric threefolds

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Geordie Williamson: Langlands and Bezrukavnikov II Lecture 21

SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro

From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence

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Geordie Williamson: Langlands and Bezrukavnikov II Lecture 16

SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro

From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence

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Marc Levine: Atiyah-Bott localization for Witt sheaf cohomology, with applications

30 September 2021 Abstract: Atiyah-Bott localization for singular cohomology of a space with a torus action has proven to be an effective tool in many areas, including enumerative geometry. We give here a parallel for cohomology with Witt-sheaf coeffcients, which is useful for computing q

From playlist Representation theory's hidden motives (SMRI & Uni of Münster)

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Eigenvalues | Eigenvalues and Eigenvectors

In this video, we work through some example computations of eigenvalues of 2x2 matrices. Including a case where the eigenvalues are complex numbers. We do not discuss any intuition or definition of eigenvalues or eigenvectors, we simply carry out some elementary computations. If you liked

From playlist Linear Algebra

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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

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Introduction to Fiber Bundles Part 4: Torsor Interlude

Torsors and Principal Homogeneous Spaces. What is the difference?

From playlist Fiber bundles

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (2 of 35) What Are Eigenvalues? (Part 2)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show the eigenvalue, lambda, is derived from a matrix (Part 2). Next video in this series can be seen at: https://youtu.be/A_unWhKa7Sw

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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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)

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Diagonalize 3x3 matrix

Diagonalizing a 3x3 matrix. Finding eigenvalues and eigenvectors. Featuring the rational roots theorem and long division Check out my Eigenvalues playlist: https://www.youtube.com/watch?v=H-NxPABQlxI&list=PLJb1qAQIrmmC72x-amTHgG-H_5S19jOSf Subscribe to my channel: https://www.youtube.com

From playlist Eigenvalues

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Geordie Williamson: Langlands and Bezrukavnikov II Lecture 19

SMRI Seminar Series: 'Langlands correspondence and Bezrukavnikov’s equivalence' Geordie Williamson (University of Sydney) Abstract: The second part of the course focuses on affine Hecke algebras and their categorifications. Last year I discussed the local Langlands correspondence in bro

From playlist Geordie Williamson: Langlands correspondence and Bezrukavnikov’s equivalence

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Linear Algebra: Ch 3 - Eigenvalues and Eigenvectors (7 of 35) Given the Eigenvector, Eigenvalues=?

Visit http://ilectureonline.com for more math and science lectures! In this video I will find eigenvalues=?, lambda1=? and lambda2=?, given a 2x2 matrix and 2 eigenvectors. Next video in this series can be seen at: https://youtu.be/hoxxwzU-kA4

From playlist LINEAR ALGEBRA 3: EIGENVALUES AND EIGENVECTORS

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Instability and stratifications of moduli problems in algebraic geometry - Daniel Halpern-Leistner

Daniel Halpern-Leistner Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu

From playlist Mathematics

Related pages

Borel–Weil–Bott theorem | Group-scheme action | Sheaf of modules | Equivariant bundle | Equivariant differential form | Group scheme | Rational representation | Descent along torsors | Equivariant algebraic K-theory | Quotient stack | Equivariant cohomology