Theorems in algebraic geometry | Elliptic curves
In mathematics, Raynaud's isogeny theorem, proved by Raynaud, relates the Faltings heights of two isogeneous elliptic curves. (Wikipedia).
Padma Srinivasan, Computing exceptions primes for Galois representations of abelian surfaces
VaNTAGe Seminar on Dec 8, 2020 License CC-BY-NC-SA
From playlist ICERM/AGNTC workshop updates
Proof: The Isosceles Triangle Theorem
Complete videos list: http://mathispower4u.yolasite.com/ This video provides a two column proof of the isosceles triangle theorem.
From playlist Triangles and Congruence
4a Isomorphism of Graphs (brief)
From playlist Graph Theory
The isosceles triangle theorem is actually really simple! (KristaKingMath)
► My Geometry course: https://www.kristakingmath.com/geometry-course In this video we'll learn about the isosceles triangle theorem, which tells us that, when we have an isosceles triangle (a triangle in which two of the sides are congruent), the angles opposite the congruent sides will a
From playlist Geometry
What are Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory
This video defines and gives and example of isomorphic graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
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
Isosceles & Equilateral Triangle Properties
I introduce 2 theorems about the properties of Isosceles and Equilateral Triangles. These theorems discuss how the base angles are congruent and that the bisector of the vertex is also a perpendicular bisector of the base. This video includes 2 proofs and 2 algebraic examples. EXAMPLES
From playlist Geometry
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Ex 1: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions
Abstract Algebra | Properties of isomorphisms.
We prove some important properties of isomorphisms. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
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
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
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
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
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
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
Elliptic Curves - Lecture 10c - The dual isogeny
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
Engineering MAE 130A. Intro to Fluid Mechanics. Lecture 11.
UCI Engineering MAE 130A: Intro to Fluid Mechanics (Fall 2013) Lec 11. Intro to Fluid Mechanics View the complete course: http://ocw.uci.edu/courses/engineering_mae_130a_intro_to_fluid_mechanics.html Instructor: Roger Rangel, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://o
From playlist Engineering MAE 130A. Intro to Fluid Mechanics
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations