In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a finite-dimensional vector space V. Here "increasing" means each is a proper subspace of the next (see filtration): The term flag is motivated by a particular example resembling a flag: the zero point, a line, and a plane correspond to a nail, a staff, and a sheet of fabric. If we write that dimVi = di then we have where n is the dimension of V (assumed to be finite). Hence, we must have k ≤ n. A flag is called a complete flag if di = i for all i, otherwise it is called a partial flag. A partial flag can be obtained from a complete flag by deleting some of the subspaces. Conversely, any partial flag can be completed (in many different ways) by inserting suitable subspaces. The signature of the flag is the sequence (d1, ..., dk). (Wikipedia).
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0
From playlist Linear Algebra
Linear Algebra for Beginners | Linear algebra for machine learning
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course you will learn most of the basics of linear algebra wh
From playlist Linear Algebra
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Using the general and vector forms of the equation of a plane from the normal and a point, or two points on the plane.
From playlist Linear Algebra
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
7A_2 Linear Algebra Definitions
"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced
From playlist Linear Algebra
A Non-flag Arithmetic Regularity Lemma and Counting Lemma - Daniel Altman
Special Year Informal Seminar Topic: A Non-flag Arithmetic Regularity Lemma and Counting Lemma Speaker: Daniel Altman Affiliation: University of Oxford Date: March 10, 2023 We will discuss a version of the Green--Tao arithmetic regularity lemma and counting lemma which works in the gener
From playlist Mathematics
Introduction to Continuous Combinatorics II: semantic limits - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Continuous Combinatorics II: semantic limits Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 09, 2021 The field of continuous combinatorics studies large (dense) combinatorial s
From playlist Mathematics
Introduction to Continuous Combinatorics I: the semidefinite method of flag... - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Continuous Combinatorics I: the semidefinite method of flag algebras Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 02, 2021 The field of continuous combinatorics studies lar
From playlist Mathematics
"New Paradigms in Invariant Theory" - Roger Howe, Yale University [2011]
HKUST Institute for Advanced Study Distinguished Lecture New Paradigms in Invariant Theory Speaker: Prof Roger Howe, Yale University Date: 13/6/2011 Video taken from: http://video.ust.hk/Watch.aspx?Video=6A41D5F6B1A790DC
From playlist Mathematics
Winter School JTP: From Hall algebras to legendrian skein algebras, Fabian Haiden
A mysterious relation between Hall algebras of Fukaya categories of surfaces and skein algebras was suggested by recent work of Morton-Samuelson and Samuelson-Cooper. I will discuss how this relation can be made precise using knot theory of legendrian curves and general gluing properties o
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Group Actions and Power Maps by C. R. E. Raja
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Affine Springer fibers and the small quantum group - Pablo Boixeda Alvarez
Short Talks by Postdoctoral Members Topic: Affine Springer fibers and the small quantum group Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: September 22, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Geordie Williamson: Langlands and Bezrukavnikov II Lecture 12
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
Karen Strung: Positive Line Bundles Over the Irreducible Quantum Flag Manifolds
Talk by Karen Strung in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 12, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
AGACSE2021 Jaroslav Hrdina - GA in control theory
Geometric algebras in mathematics control theory
From playlist AGACSE2021