What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
From playlist Complex Analysis Made Simple
Math 135 Complex Analysis Lecture 07 021015: Analytic Functions
Definition of conformal mappings; analytic implies conformal; Cauchy-Riemann equations are satisfied by analytic functions; partial converses (some proven, some only stated); definition of harmonic functions; harmonic conjugates
From playlist Course 8: Complex Analysis
Is The Function Analytic? Complex Variables Question
Is The Function Analytic? Complex Variables Question Given the function f(z) = z*conjugate(z), the question is, is the function analytic at z = 1. We use the Cauchy Riemann equations to answer this!
From playlist Complex Analysis
In this video, I give a general (and non-technical) overview of the topics covered in an elementary complex analysis course, which includes complex numbers, complex functions, the Cauchy-Riemann equations, Cauchy’s integral formula, residues and poles, and many more! Watch this video if yo
From playlist Complex Analysis
Equivariant principal bundles on toric varieties- Part 2 by Arijit Dey
DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be
From playlist Analytic and Algebraic Geometry-2018
From playlist Complex Analysis Made Simple
Math 135 Complex Analysis Lecture 24 042315: Analytic Continuation
Analytic continuation: function element; direct analytic continuation; global analytic function; analytic continuation. Analytic continuation along a curve is essentially unique; statement of Monodromy theorem.
From playlist Course 8: Complex Analysis
Rahim Moosa: Nonstandard compact complex manifolds with a generic auto-morphism
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 Logic and Foundations
Tame topologies in non-archimedean geometry - Abhishek Oswal
Short Talks by Postdoctoral Members Topic: Tame topologies in non-archimedean geometry Speaker: Abhishek Oswal Affiliation: Member, School of Mathematics Date: September 25, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Introduction to quadrature domains (Lecture 4) by Kaushal Verma
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
J. Bost - Techniques d’algébrisation... (Part 2)
Abstract - Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points commun
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
p-adic approaches to rational points on curves - Poonen - Lecture 3/4 - CEB T2 2019
Bjorn Poonen (Massachusetts Institute of Technology) / 08.07.2019 p-adic approaches to rational points on curves - Lecture 3/4 In these four lectures, I will describe Chabauty's p-adic method for determining the rational points on a curve whose Jacobian has rank less than the genus, hint
From playlist 2019 - T2 - Reinventing rational points
Cohomologies for rigid analytic varieties via motivic homotopy theory by Alberto Vezzani
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
G. Binyamini - Point counting for foliations over number fields
We consider an algebraic $V$ variety and its foliation, both defined over a number field. Given a (compact piece of a) leaf $L$ of the foliation, and a subvariety $W$ of complementary codimension, we give an upper bound for the number of intersections between $L$ and $W$. The bound depends
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
The Riemann-Hilbert Correspondence in Nonarchimedean Geometry - Jacob Lurie
IAS/Princeton Arithmetic Geometry Seminar Topic: The Riemann-Hilbert Correspondence in Nonarchimedean Geometry Speaker: Jacob Lurie Affiliation: Member, School of Mathematics Date: March 13, 2023 Let X be a smooth projective variety over the field of complex numbers. The classical Rieman
From playlist Mathematics
Umberto Zannier - Ambients for the Betti map and the question of its rank
November 16, 2017 - This is the final talk of a series of three Fall 2017 Minerva Lectures In this last lecture we shall further consider some of the mentioned contexts involving the Betti map. We shall also discuss in short some recent work with Yves André and Pietro Corvaja, where we obt
From playlist Minerva Lectures Umberto Zannier
O-minimality and Ax-Schanuel properties - Jonathan Pila
Hermann Weyl Lectures Topic: O-minimality and Ax-Schanuel properties Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 24, 2018 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
From playlist Complex Analysis Made Simple