Geometric function theory
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem. (Wikipedia).
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem. (Wikipedia).
Representing a Function as a Geometric Power Series - Part 2
This video shows how to represent a function as a geometric power series using partial fractions and integration. http://mathispower4u.yolasite.com/
From playlist Power Series
Representing a Function as a Geometric Power Series - Part 1
This video shows how to represent a function as a geometric power series. http://mathispower4u.yolasite.com/
From playlist Power Series
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
Define a linear function. Determine if a linear function is increasing or decreasing. Interpret linear function models. Determine linear functions. Site: http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
Introduction to Linear Functions and Slope (L10.1)
This lesson introduces linear functions, describes the behavior of linear function, and explains how to determine the slope of a line given two points. Video content created by Jenifer Bohart, William Meacham, Judy Sutor, and Donna Guhse from SCC (CC-BY 4.0)
From playlist Introduction to Functions: Function Basics
This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.
From playlist Foundational Math
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
From playlist Geometry - GEOMETRIC MEAN
Quantization, Gauge Theory, And The Analytic Approach To Geometric... (Lecture 1) by Edward Witten
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten
Clay Research Conference Topic: Gauge Theory and the Analytic Approach to Geometric Langlands Speaker: Edward Witten Affiliation: Professor, School of Natural Sciences Date: September 30, 2021 Recently P. Etingof, E. Frenkel, and D. Kazhdan, following earlier contributions by R. Langl
From playlist Mathematics
Lecture 1: Geometric Langlands and S-duality in N = 4 SYM by Sergei Gukov
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
Lecture 1: Invitation to topos theory
This talk introduces the motivating question for this semester of the Curry-Howard seminar, which is how to organise mathematical knowledge using topoi. The approach sketched out in the talk is via first-order theories, their associated classifying topoi, and adjoint pairs of functors betw
From playlist Topos theory seminar
Topos seminar Lecture 15: Abstraction and adjunction (Part 1)
I begin by explaining in a simple example the connection between formal reasoning involving distinct concepts, and adjunctions between classifying topoi. This leads to a discussion of models in topoi (focused on the particular example of the theory of abelian groups) then to the syntactic
From playlist Topos theory seminar
David Ben-Zvi: Boundary conditions and hamiltonian actions in geometric Langlands
SMRI Algebra and Geometry Online: ‘Boundary conditions and hamiltonian actions in geometric Langlands’ David Ben-Zvi (University of Texas at Austin)
From playlist SMRI Algebra and Geometry Online
Quantization By Branes And Geometric Langlands Lecture 2 by Edward Witten
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Analytic Geometric Langlands-correspondence: Relations to Conformal ..(Lecture 3) by Joerg Teschner
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Matthias Hutzler - Gluing classifying toposes
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/
From playlist Toposes online
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations
An algebro-geometric theory of vector-valued modular forms of half-integral weight - Luca Candelori
Luca Candelori Lousiana State University October 23, 2014 We give a geometric theory of vector-valued modular forms attached to Weil representations of rank 1 lattices. More specifically, we construct vector bundles over the moduli stack of elliptic curves, whose sections over the complex
From playlist Mathematics