Complex analysis | Algebraic topology | Algebraic number theory
In geometry, ramification is 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing in sign. The term is also used from the opposite perspective (branches coming together) as when a covering map degenerates at a point of a space, with some collapsing of the fibers of the mapping. (Wikipedia).
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
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Linear Algebra for Computer Scientists. 4. Scalar Multiplication of Vectors
This computer science video is the fourth in a series about linear algebra for computer scientists. In this video you will learn how to multiply a vector by a scalar quantity, that is, by a number. You will see that multiplying a vector by a positive scalar results in a new vector with a
From playlist Linear Algebra for Computer Scientists
A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.
From playlist Physics ONE
Solving Equations Using Multiplication or Division
This video is about Solving Equations with Multiplication and Division
From playlist Equations and Inequalities
The motivation and definition of Matrix Multiplication
Learning Objectives: 1) Describe composition of transformations, particularly the dimensions of the various domains and codomains 2) Algebraically manipulate the composition of transformations using the definition of Matrix-Vector product 3) Define Matrix-Matrix multiplication 4) Identify
From playlist Linear Algebra (Full Course)
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Intersection Theory on Moduli Space of Curves and their connection.... by Chitrabhanu Chaudhuri
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Linear Algebra for Computer Scientists. 1. Introducing Vectors
This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f
From playlist Linear Algebra for Computer Scientists
Ernst-Ulrich Gekeler: Algebraic curves with many rational points over non-prime finite fields
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
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
Representations of DAHA from Hitchin moduli space by Satoshi Nawata
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
13 - Deformations of Galois representations and applications
Orateur(s) : M. Emerton Public : Tous Date : jeudi 27 octobre Lieu : Institut Henri Poincaré
From playlist Colloque Evariste Galois
Álvaro Lozano-Robledo: Recent progress in the classification of torsion subgroups of...
Abstract: This talk will be a survey of recent results and methods used in the classification of torsion subgroups of elliptic curves over finite and infinite extensions of the rationals, and over function fields. Recording during the meeting "Diophantine Geometry" the May 22, 2018 at th
From playlist Math Talks
Chandrashekhar Khare: Automorphy lifting via level lowering congruences
Recording during the meeting "p-adic Langlands Correspondence, Shimura Varieties and Perfectoids" the July 4, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Algebraic and Complex Geometry
Andrea Fanelli: Fano fibrations in positive characteristic
Abstract : In this talk, starting from the perspective of characteristic zero, I will discuss pathologies for the generic fibre of Fano fibrations in characteristic p. The new approach of the joint project with Stefan Schröer has two goals: - controlling these pathological phenomena; and
From playlist Algebraic and Complex Geometry
Alp Bassa: Good Recursive Towers
Curves over finite fields of large genus with many rational points have been of interest for both theoretical reasons and for applications. In the past, various methods have been employed for the construction of such curves. One such method is by means of explicit recursive equations and w
From playlist Algebraic and Complex Geometry
Takeshi Saito - Upper ramification groups of local fields with imperfect residue fields (3/3)
Upper ramification groups of local fields with imperfect residue fields were introduced by two of the organizers, Abbes and myself in 2000. Recently the graded quotients are shown to be F_p-vector spaces and related to Frobenius-Witt differentials. In three lectures, we outline the definit
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Takeshi Saito - Upper ramification groups of local fields with imperfect residue fields (1/3)
Upper ramification groups of local fields with imperfect residue fields were introduced by two of the organizers, Abbes and myself in 2000. Recently the graded quotients are shown to be F_p-vector spaces and related to Frobenius-Witt differentials. In three lectures, we outline the definit
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
From playlist Transformations of the Number Line