J-invariant

Example of Invariant Subspace

Matrix Theory: Let T: R^4 to R^4 be the linear transformation that sends v to Av where A = [0 0 0 -1 \ 1 0 0 0 \ 0 1 0 -2 \ 0 0 1 0]. Find all subspaces invariant under T.

From playlist Matrix Theory

Bertrand Eynard - An overview of the topological recursion

The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

Robyn Brooks and Celia Hacker (6/24/20): Morse-based fibering of the rank invariant

Title: Morse-based fibering of the rank invariant Abstract: Given the success of single-parameter persistence in data analysis and the fact that some systems warrant analysis across multiple parameters, it is highly desirable to develop data analysis pipelines based on multi-parameter per

From playlist AATRN 2020

Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Math 060 101317C Linear Transformations: Isomorphisms

Lemma: Linear transformations that agree on a basis are identical. Definition: one-to-one (injective). Examples and non-examples. Lemma: T is one-to-one iff its kernel is {0}. Definition: onto (surjective). Examples and non-examples. Definition: isomorphism; isomorphic. Theorem: T

From playlist Course 4: Linear Algebra (Fall 2017)

Linear Transformations: One-One

Linear Algebra: We recall the definition of one-one for functions and apply it to linear transformations. We obtain a simple rule for checking one-one in this case: either the kernel is zero or the associated matrix has a pivot in each column in row echelon form. Several examples are gi

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

Invariant Subspaces

Invariant subspaces. Eigenvalues and eigenvectors. A list of eigenvectors correpsonding to distinct eigenvalues is linearly indepenedent. The number of distinct eigenvalues is at most the dimension of the vector space.

From playlist Linear Algebra Done Right

8 1 3 pg3 4

From playlist Linear Algebra Ch 8 (updated Jan2021)

Elliptic Curves - Lecture 20b - Elliptic curves over local fields (potential good reduction and j)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Lori Watson, Odd degree isolated points on X_1(N) with rational j-invariant

VaNTAGe seminar, June 8, 2021

From playlist Modular curves and Galois representations

Lecture 8 | Modern Physics: Special Relativity (Stanford)

Lecture 8 of Leonard Susskind's Modern Physics course concentrating on Special Relativity. Recorded June 9, 2008 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of modern ph

From playlist Lecture Collection | Modern Physics: Special Relativity

Elliptic Curves - Lecture 8a - Weierstrass models, discriminant, and j-invariant

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Filip Najman, Q-curves over odd degree fields and sporadic points

VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA

From playlist Modular curves and Galois representations

Random Matrix Theory and its Applications by Satya Majumdar ( Lecture 2 )

PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin

From playlist Bangalore School on Statistical Physics - X (2019)

37 Sundar - Invariant measures and ergodicity for stochastic Navier-Stokes equations

PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have

From playlist Winter School on Stochastic Analysis and Control of Fluid Flow

Nonlinear algebra, Lecture 10: "Invariant Theory", by Bernd Sturmfels

This is the tenth 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

Noam Elkies, Supersingular reductions of elliptic curves

VaNTAGe seminar, October 26, 2021 License: CC-BY-NC-SA

From playlist Complex multiplication and reduction of curves and abelian varieties

Isocontact and isosymplectic immersions and embeddings by Mahuya Datta

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Super-rigidity and bifurcations of embedded curves in Calabi-Yau 3-folds - Mohan Swaminathan

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Super-rigidity and bifurcations of embedded curves in Calabi-Yau 3-folds Speaker: Mohan Swaminathan Affiliation: Princeton Date: June 25, 2021 I will describe my recent work, joint with Shaoyun Bai, which studies a

From playlist Mathematics