Conic sections | Elliptic curves
In geometry, Poncelet's closure theorem, also known as Poncelet's porism, states that whenever a polygon is inscribed in one conic section and circumscribes another one, the polygon must be part of an infinite family of polygons that are all inscribed in and circumscribe the same two conics. It is named after French engineer and mathematician Jean-Victor Poncelet, who wrote about it in 1822; however, the triangular case was discovered significantly earlier, in 1746 by William Chapple. Poncelet's porism can be proved by an argument using an elliptic curve, whose points represent a combination of a line tangent to one conic and a crossing point of that line with the other conic. (Wikipedia).
Galois theory: Algebraic closure
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically
From playlist Galois theory
Umberto Zannier - The games of Steiner and Poncelet and algebraic group schemes
November 13, 2017 - This is the first of three Fall 2017 Minerva Lectures We shall briefly present in very elementary terms the 'games' of Steiner and Poncelet, amusing mathematical solitaires of the XIX Century, also related to elliptic billiards. We shall recall that the finiteness of t
From playlist Minerva Lectures Umberto Zannier
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
From playlist Stokes' theorem
This calculus video tutorial provides a basic introduction into rolle's theorem. It contains plenty of examples and practice problems on how to find the value of c that will satisfy the conclusion of rolle's theorem on the closed interval [a, b]. For rolle's theorem to apply to a funct
From playlist New Calculus Video Playlist
Compasses are overrated #some2
This video is about the Poncelet-Steiner Theorem
From playlist Summer of Math Exposition 2 videos
Ex 2: Rolle's Theorem with Product Rule
This video provides an example of how to apply Rolle's Theorem. http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
Bayes' Theorem - The Simplest Case
►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM ►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw ►FULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS Bayes' Theorem is an inc
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
This video proves Rolle's Theorem. http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
Alex Wright - Minicourse - Lecture 5
Alex Wright Dynamics, geometry, and the moduli space of Riemann surfaces We will discuss the GL(2,R) action on the Hodge bundle over the moduli space of Riemann surfaces. This is a very friendly action, because it can be explained using the usual action of GL(2,R) on polygons in the plane
From playlist Maryland Analysis and Geometry Atelier
Real Analysis Ep 15: Closure of a set
Episode 15 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the closure of a set. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.f
From playlist Math 3371 (Real analysis) Fall 2020
Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces - Or Landesberg
Special Year Research Seminar [DO NOT PUBLICLY POST] Topic: Non-Rigidity of Horocycle Orbit Closures in Geometrically Infinite Surfaces Speaker: Or Landesberg Affiliation: Yale University Date: January 31, 2023 Horospherical group actions on homogeneous spaces are famously known to be ext
From playlist Mathematics
Lecture 4: The Open Mapping Theorem and the Closed Graph Theorem
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=G3mAXHuoDSw&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
What is the Mordell-Lang problem?
It is my intention to eventually explain some things about the Mordell-Lang problem and the higher dimensional versions of these. The presentation in this video is due to Mazur and can be found in an MSRI article he wrote that introduces these things.
From playlist Mordell-Lang
P. Apisa - Marked points in genus two and beyond
In the principal stratum in genus two, McMullen observed that something odd happens - there is only one nonarithmetic Teichmuller curve - the one generated by the decagon. This strange phenomenon begets another - a primitive translation surface in genus two admits a periodic point that is
From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications
Math 031 030617 Sequences continued
Additional examples of using the Squeeze Theorem to prove limits of sequences; of using L'Hopital's Rule on sequences. Showing that the limit of a sequence is 0 if and only if the limit of its absolute value is zero. Limits and continuous functions. What it means for the limit of a sequ
From playlist Course 3: Calculus II (Spring 2017)
Yoshinori Namikawa: Symplectic singularities and nilpotent orbits
Abstract: I will characterzize, among conical symplectic varieties, the nilpotent orbit closures of a complex semisimple Lie algebra and their finite coverings. Recording during the meeting "Symplectic Representation Theory" the April 3, 2019 at the Centre International de Rencontres Math
From playlist Algebraic and Complex Geometry