Elliptic operator

What is... an elliptic curve?

In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were

From playlist An Introduction to the Arithmetic of Elliptic Curves

Application of Elliptic Curves to Cryptography

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

Elliptic Curves - Lecture 6a - Ramification (continued)

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

Lenstras Algorithm

For more cryptography, subscribe @JeffSuzukiPolymath

From playlist Elliptic Curves - Number Theory and Applications

Elliptic curves: point at infinity in the projective plane

This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-

From playlist Elliptic Curves - Number Theory and Applications

Elliptic Curves - Lecture 27b - Selmer and Sha (definitions)

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

Complex analysis: Elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We start the study of elliptic (doubly periodic) functions by constructing some examples, and finding some conditions that their poles and zeros must satisfy. For the other lectures in the course see https://www

From playlist Complex analysis

Schemes 46: Differential operators

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define differential operators on rings, and calculate the universal (normalized) differential operator of order n. As a special case we fin

From playlist Algebraic geometry II: Schemes

Complex analysis: Classification of elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We give 3 description of elliptic functions: as rational functions of P and its derivative, or in terms of their zeros and poles, or in terms of their singularities. We end by giving a brief description of the a

From playlist Complex analysis

Maxim ZABZINE - 2/4 Index theorems and 5d localization

From playlist Summer School 2018: Supersymmetric Localization and Exact Results

An Introduction to Elliptic Curve Cryptography

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist Computer - Cryptography and Network Security

Charles Rezk: Elliptic cohomology and elliptic curves (Part 1)

The lecture was held within the framework of the Felix Klein Lectures at Hausdorff Center for Mathematics on the 1. June 2015

From playlist HIM Lectures 2015

Index Theory, survey - Stephan Stolz [2018]

TaG survey series These are short series of lectures focusing on a topic in geometry and topology. May_8_2018 Stephan Stolz - Index Theory https://www3.nd.edu/~math/rtg/tag.html (audio fixed)

From playlist Mathematics

Peter Lewintan: L^1-Korn-Maxwell-Sobolev inequalities in all dimensions

We characterize all linear part maps A[·] (e.g. A = sym) which may appear on the right hand side of Korn-Maxwell-Sobolev inequalities for incompatible tensor fields P . The correction term Curl P appears thereby in the L^1 norm on the right hand side. Dierent from previous contributions, t

From playlist "SPP meets TP": Variational methods for complex phenomena in solids

Pierre VANHOVE - Mirror Symmetry and Feynman Integrals

From playlist Integrability, Anomalies and Quantum Field Theory

The Hypoelliptic Laplacian: An Introduction - Jean-Michel Bismut

Jean-Michel Bismut Universite de Paris-Sud March 26, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Andras Vasy - Microlocal analysis and wave propagation (Part 2)

In these lectures I will explain the basics of microlocal analysis, emphasizing non-­elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential,

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Elliptic Curve Cryptography Tutorial - Understanding ECC through the Diffie-Hellman Key Exchange

Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Elliptic Curve Cryptography (ECC) is a type of public key cryptography that relies on the math of both elliptic curves as well as number theory. This technique can be used to create smaller, fast

From playlist Elliptic Curves - Number Theory and Applications

Craig Costello - Post-quantum key exchange from supersingular isogenies- IPAM at UCLA

Recorded 26 July 2022. Craig Costello of Microsoft Research presents "Post-quantum key exchange from supersingular isogenies" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: This talk will give an overview of Supersingular isogeny Diffie-Hellman (SIDH): t

From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography