In mathematics, the classifying space for the orthogonal group O(n) may be constructed as the Grassmannian of n-planes in an infinite-dimensional real space . It is analogous to the classifying space for U(n). * v * t * e (Wikipedia).
From playlist Unlisted LA Videos
From playlist Contributed talks One World Symposium 2020
Linear Algebra - Lecture 29 - Column Space of a Matrix
In this video, I define the column space of a matrix. I also compare column space to null space (discussed in the previous lecture) and work through some examples.
From playlist Linear Algebra Lectures
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Math 060 Linear Algebra 13 100814: Row Space and Column Space; the Rank Theorem (no sound)
[No sound - sorry.] Row space and column space of a matrix (A); dimension of row space =: rank(A) = # of pivots in reduced row echelon form (U). Row spaces of row equivalent matrices are identical; finding a basis for the row space; column spaces are different, but relations between colu
From playlist Course 4: Linear Algebra
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
A short video on terms such as Vector Space, SubSpace, Span, Basis, Dimension, Rank, NullSpace, Col space, Row Space, Range, Kernel,..
From playlist Tutorial 4
Schemes 48: The canonical sheaf
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define the canonical sheaf, giev a survey of some applications (Riemann-Roch theorem, Serre duality, canonical embeddings, Kodaira dimensio
From playlist Algebraic geometry II: Schemes
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Schemes 33: Vector bundles on the projective line
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We prove Grothendieck's theorem that all vector bundles over the projective line are sums of line bundles, and compare the category of vector bundles with the
From playlist Algebraic geometry II: Schemes
Definitions of null space, injectivity, range, and surjectivity. Fundamental theorem of linear maps. Consequences for systems of linear equations.
From playlist Linear Algebra Done Right
Vincent LAFFORGUE - Stacks of Shtukas and spectral decompositions
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Jared Weinstein - 2/2 Local Shtukas and the Langlands Program
In the Langlands program over number fields, automorphic representations and Galois representations are placed into correspondence, using the cohomology of Shimura varieties as an intermediary. Over a function field, the appropriate intermediary is a moduli space of shtukas. We introduce t
From playlist 2022 Summer School on the Langlands program
The formal definition of a vector space.
From playlist Linear Algebra Done Right
This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre
From playlist Lie groups
Even spaces and motivic resolutions - Michael Hopkins
Vladimir Voevodsky Memorial Conference Topic: Even spaces and motivic resolutions Speaker: Michael Hopkins Affiliation: Harvard University Date: September 13, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Arun Debray - Stable diffeomorphism classification of some unorientable 4-manifolds
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Arun Debray, The University of Texas at Austin Title: Stable diffeomorphism classification of some unorientable 4-manifolds Abstract: Kreck's modified surgery theory provides a bordism-theoretic classification of closed, c
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Angélica M. Osorno - Equivariant Infinite Loop Space Machines
An equivariant infinite loop space machine is a functor that constructs genuine equivariant spectra out of simpler categorical or space level data. In the late 80’s Lewis–May–Steinberger and Shimakawa developed generalizations of the operadic approach and the G-space approach respectively.
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Support Vector Machines (3): Kernels
The kernel trick in the SVM dual; examples of kernels; kernel form for least-squares regression
From playlist cs273a