Topological groups | Unitary representation theory
This article addresses the notion of quasiregularity in the context of representation theory and topological algebra. For other notions of quasiregularity in mathematics, see the disambiguation page quasiregular. In mathematics, quasiregular representation is a concept of representation theory, for a locally compact group G and a homogeneous space G/H where H is a closed subgroup. In line with the concepts of regular representation and induced representation, G acts on functions on G/H. If however Haar measures give rise only to a quasi-invariant measure on G/H, certain 'correction factors' have to be made to the action on functions, for L2(G/H) to afford a unitary representation of G on square-integrable functions. With appropriate scaling factors, therefore, introduced into the action of G, this is the quasiregular representation or modified induced representation. (Wikipedia).
On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018
Analysis and Operator Algebras Invited Lecture 8.10 On the dyadic Hilbert transform Stefanie Petermichl Abstract: The Hilbert transform is an average of dyadic shift operators. These can be seen as a coefficient shift and multiplier in a Haar wavelet expansion or as a time shifted operat
From playlist Analysis & Operator Algebras
Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis
Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Multivariable system representation 2019-04-24
There are two main ways of representing Multivariable systems - state space and transfer function matrices.
From playlist Multivariable
Electromagnetic Reflection of an Ultrawideband Pulse from Cylindrical Scatterer
#FDTD #electromagnetics #ultrawideband #finitedifferencetimedomain #pulse #scattering #gpr
From playlist Electromagnetic Animations
Lipschitz rigidity for scalar curvature - Bernhard Hanke
Analysis & Mathematical Physics Topic: Lipschitz rigidity for scalar curvature Speaker: Bernhard Hanke Affiliation: University of Augsburg, Member, School of Mathematics Date: October 05, 2022 Lower scalar curvature bounds on spin Riemannian manifolds exhibit remarkable rigidity properti
From playlist Mathematics
Link: https://www.geogebra.org/m/D4hmNy9M
From playlist 3D: Dynamic Interactives!
How do we represent the scalar of a vector
Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply multiply the scalar to each of the components of the vecto
From playlist Vectors
Quaternions as 4x4 Matrices - Connections to Linear Algebra
In math, it's usually possible to view an object or concept from many different (but equivalent) angles. In this video, we will see that the quaternions may be viewed as 4x4 real-valued matrices of a special form. What is interesting here is that if you know how to multiply matrices, you a
From playlist Quaternions
Jon Pakianathan (5/7/19): On a canonical construction of tessellated surfaces from finite groups
Title: On a canonical construction of tessellated surfaces from finite groups Abstract: In this talk we will discuss an elementary construction that associates to the non-commutative part of a finite group’s multiplication table, a finite collection of closed, connected, oriented surfaces
From playlist AATRN 2019
Normal Vector to a Plane: Dynamic Illustration
Link: https://www.geogebra.org/m/bRKxY9Zu
From playlist 3D: Dynamic Interactives!
https://goo.gl/e6wdj2 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to review the scalar & vector concept and to do distinguish between scalars and vectors. First of all, the video gives definition of scalar & vector whe
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Moduli of Representations and Pseudorepresentations - Carl Wang Erickson
Carl Wang Erickson Harvard University May 2, 2013 A continuous representation of a profinite group induces a continuous pseudorepresentation, where a pseudorepresentation is the data of the characteristic polynomial coefficients. We discuss the geometry of the resulting map from the moduli
From playlist Mathematics
Nonlinear algebra, Lecture 9: "Representation Theory", by Mateusz Michalek
This is the ninth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Representation Theory(Repn Th) 3 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
DeepMind x UCL | Deep Learning Lectures | 10/12 | Unsupervised Representation Learning
Unsupervised learning is one of the three major branches of machine learning (along with supervised learning and reinforcement learning). It is also arguably the least developed branch. Its goal is to find a parsimonious description of the input data by uncovering and exploiting its hidden
From playlist Learning resources
Kevin Buzzard (lecture 17/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
Representations of p-adic reductive groups by Tasho Kaletha
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)
Dual spaces and linear functionals In this video, I introduce the concept of a dual space, which is the analog of a "shadow world" version, but for vector spaces. I also give some examples of linear and non-linear functionals. This seems like an innocent topic, but it has a huge number of
From playlist Dual Spaces