Isogeny

23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

Group Isomorphisms in Abstract Algebra

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit

From playlist Abstract Algebra

Isomorphisms (Abstract Algebra)

An isomorphism is a homomorphism that is also a bijection. If there is an isomorphism between two groups G and H, then they are equivalent and we say they are "isomorphic." The groups may look different from each other, but their group properties will be the same. Be sure to subscribe s

From playlist Abstract Algebra

Isomorphisms in abstract algebra

In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4

From playlist Abstract algebra

Isomorphic Graphs

This video defines and gives and example of isomorphic graphs. mathispower4u.com

From playlist Graph Theory (Discrete Math)

Abstract Algebra | Group Isomorphisms

We give the definition of an isomorphism between groups and provide some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

Organic Chemistry - Ch 1: Basic Concepts (19 of 97) What is an Optical Isomer?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an optical isomer: a mirror image of another. There are 2 types. Achiral-when the 2 are superimposable, and chiral-molecules that exhibit handedness. Next video in this series can be

From playlist ORGANIC CHEMISTRY CH1 INTRODUCTION

Graph Theory: 09. Graph Isomorphisms

In this video I provide the definition of what it means for two graphs to be isomorphic. I illustrate this with two isomorphic graphs by giving an isomorphism between them, and conclude by discussing what it means for a mapping to be a bijection. An introduction to Graph Theory by Dr. Sar

From playlist Graph Theory part-2

4a Isomorphism of Graphs (brief)

From playlist Graph Theory

Wouter Castryck, An efficient key recovery attack on supersingular isogeny Diffie-Hellman

VaNTAGe Seminar, October 18, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Rostovstev-Stolbunov: https://eprint.iacr.org/2006/145 Charles-Goren-Lauter: https://eprint.iacr.org/2006/021 Jao-De Feo: https://eprint.iacr.org/2011/506 Castryck-Decru: https://e

From playlist New developments in isogeny-based cryptography

Barinder Banwait, Explicit isogenies of prime degree over number fields

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

From playlist Modular curves and Galois representations

Benjamin Smith, Isogenies in genus 2 for cryptographic applications

VaNTAGe seminar, October 4, 2022 License: CC-BY-NC-SA

From playlist New developments in isogeny-based cryptography

Christelle Vincent, Exploring angle rank using the LMFDB

VaNTAGe Seminar, February 15, 2022 License: CC-NC-BY-SA Links to some of the papers mentioned in the talk: Dupuy, Kedlaya, Roe, Vincent: https://arxiv.org/abs/2003.05380 Dupuy, Kedlaya, Zureick-Brown: https://arxiv.org/abs/2112.02455 Zarhin 1979: https://link.springer.com/article/10.100

From playlist Curves and abelian varieties over finite fields

Luca De Feo, Proving knowledge of isogenies, quaternions and signatures

VaNTAGe Seminar, November 15, 2022 License: CC-BY-NC-SA Links to some of the papers and cites mentioned in the talk: Couveignes (2006): https://eprint.iacr.org/2006/291 Fiat-Shamir (1986): https://doi.org/10.1007/3-540-47721-7_12 De Feo-Jao-Plût (2011): https://eprint.iacr.org/2011/506 B

From playlist New developments in isogeny-based cryptography

Steven Galbraith, Isogeny graphs, computational problems, and applications to cryptography

VaNTAGe Seminar, September 20, 2022 License: CC-BY-NC-SA Some of the papers mentioned in this talk: Ducas, Pierrot 2019: https://link.springer.com/article/10.1007/s10623-018- 0573-3 (https://rdcu.be/cVYrC) Kohel 1996: http://iml.univ-mrs.fr/~kohel/pub/thesis.pdf Fouquet, Morain 2002: ht

From playlist New developments in isogeny-based cryptography

Stefano Marseglia, Computing isomorphism classes of abelian varieties over finite fields

VaNTAGe Seminar, February 1, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Deligne: https://eudml.org/doc/141987 Hofmann, Sircana: https://arxiv.org/ab

From playlist Curves and abelian varieties over finite fields

Abbey Bourdon : Minimal torsion curves in geometric isogeny classes

CONFERENCE Recording during the thematic meeting : "COUNT, COmputations and their Uses in Number Theory" the March 02, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide math

From playlist JEAN MORLET CHAIR

Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial

VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-

From playlist Curves and abelian varieties over finite fields

Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

Chole Martindale, Torsion point attacks on the SIDH key exchange protocol

VaNTAGe Seminar, November 8, 2022 License: CC-BY-NC-SA Links to papers mentioned in the video: Jao-De Feo-Plut (2011): https://eprint.iacr.org/2011/506.pdf Galbraith-Petit-Shani-Ti (2016): https://eprint.iacr.org/2016/859 Petit (2017): https://eprint.iacr.org/2017/571 dQKLMPPS (2020): h

From playlist New developments in isogeny-based cryptography