Oscar Bandtlow: Spectral approximation of transfer operators
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on “Transfer operators in number theory and quantum chaos” Abstract:The talk will be concerned with the problem of how to approximate spectral data oftra
From playlist Conference: Transfer operators in number theory and quantum chaos
Spectral Sequences 02: Spectral Sequence of a Filtered Complex
I like Ivan Mirovic's Course notes. http://people.math.umass.edu/~mirkovic/A.COURSE.notes/3.HomologicalAlgebra/HA/2.Spring06/C.pdf Also, Ravi Vakil's Foundations of Algebraic Geometry and the Stacks Project do this well as well.
From playlist Spectral Sequences
Elba Garcia-Failde - Quantisation of Spectral Curves of Arbitrary Rank and Genus via (...)
The topological recursion is a ubiquitous procedure that associates to some initial data called spectral curve, consisting of a Riemann surface and some extra data, a doubly indexed family of differentials on the curve, which often encode some enumerative geometric information, such as vol
From playlist Workshop on Quantum Geometry
Ana Romero: Effective computation of spectral systems and relation with multi-parameter persistence
Title: Effective computation of spectral systems and their relation with multi-parameter persistence Abstract: Spectral systems are a useful tool in Computational Algebraic Topology that provide topological information on spaces with generalized filtrations over a poset and generalize the
From playlist AATRN 2022
Basic solution form to systems of differential equations
For systems of differential equations, I show that a function involving an eigenvalue and eigenvector forms a basic solution. The ideas illustrate that matrix methods can be applied to solve basic systems of differential equations.
From playlist Differential equations
(0.3.101) Exercise 0.3.101: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
The Theory of Higher Order Differential Equations
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in my ODE Playlist we've talked about the theory of 1st order or 2nd order differential equati
From playlist Ordinary Differential Equations (ODEs)
Decomposition theorem for semisimple algebraic holonomic D-modules - Takuro Mochizuki
Members' Seminar Topic: Decomposition theorem for semisimple algebraic holonomic D-modules Speaker: Takuro Mochizuki Affiliation: Kyoto University Date: November 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Mike Hill - Real and Hyperreal Equivariant and Motivic Computations
Foundational work of Hu—Kriz and Dugger showed that for Real spectra, we can often compute as easily as non-equivariantly. The general equivariant slice filtration was developed to show how this philosophy extends from 𝐶2-equivariant homotopy to larger cyclic 2-groups, and this has some fa
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Panorama of Mathematics: Andrew Neitzke
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Andrew Neitzke: "Some new g
From playlist Panorama of Mathematics
A Hands-on Introduction to Physics-informed Machine Learning
2021.05.26 Ilias Bilionis, Atharva Hans, Purdue University Table of Contents below. This video is part of NCN's Hands-on Data Science and Machine Learning Training Series which can be found at: https://nanohub.org/groups/ml/handsontraining Can you make a neural network satisfy a physical
From playlist ML & Deep Learning
Discretization and modelling of the non-cutoff Boltzmann collision operator using Hermite spectral
Zhenning Cai National University of Singapore, Singapore
From playlist 2018 Modeling and Simulation of Interface Dynamics in Fluids/Solids and Their Applications
Beyond Eigenspaces 2: Complex Form
Linear Algebra: As an application of the Spectral Theorem for real vector spaces, we show that every 2x2 matrix with no real eigenvalues can be represented as [x -y / y x] for some basis. This representation reflects common algebraic properties of the complex numbers.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Asymptotic Analysis of Spectral Problems in Thick Junctions with the Branched...by Taras Mel’nyk
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)
Example of Spectral Decomposition
Linear Algebra: Let A be the real symmetric matrix [ 1 1 4 / 1 1 4 / 4 4 -2 ]. Using the Spectral Theorem, we write A in terms of eigenvalues and orthogonal projections onto eigenspaces. Then we use the orthogonal projections to compute bases for the eigenspaces.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
André Voros - Resurgent Theta-functions...
Resurgent Theta-functions: a conjectured gateway into dimension D superior at 1 quantum mechanics Resurgent analysis of the stationary Schrödinger equation (exact-WKB method) has remained exclusivelyconfined to 1D systems due to its underlying linear-ODE techniques.Here, b
From playlist Resurgence in Mathematics and Physics
Séverin Charbonnier: Topological recursion for fully simple maps
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Fully simple maps show strong relations with symplectic invariance of topological recursion and free probabilities. While ordinary maps satisfy topological recursion
From playlist Noncommutative geometry meets topological recursion 2021
Algebraic proofs of degenerations of Hodge-de Rham complexes - Andrei Căldăraru
Reading group on Degeneration of Hodge-de Rham spectral sequences Topic: Algebraic proofs of degenerations of Hodge-de Rham complexes Speaker: Andrei Căldăraru Affiliation: University of Wisconsin, Madison Date: April 12, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Stefan Schwede: Equivariant stable homotopy - Lecture 2
I will use the orthogonal spectrum model to introduce the tensor triangulated category of genuine G-spectra, for compact Lie groups G. I will explain structural properties such as the smash product of G-spectra, and functors relating the categories for varying G (fixed points, geometric fi
From playlist Summer School: Spectral methods in algebra, geometry, and topology
Paul Turner: A hitchhiker's guide to Khovanov homology - Part III
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry