C0C0 Hamiltonian dynamics and a counterexample to the Arnold conjecture - Sobhan Seyfaddini
Princeton/IAS Symplectic Geometry Seminar Topic:C0C0 Hamiltonian dynamics and a counterexample to the Arnold conjecture Speaker: Sobhan Seyfaddini Affiliation: Member, School of Mathematics Date: November 29, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
Arnold Conjecture Over Integers - Shaoyun Bai
Topic: Arnold Conjecture Over Integers Speaker: Shaoyun Bai Affiliation: Stony Brook University Date: January 20, 2023 We show that for any closed symlectic manifold, the number of 1-periodic orbits of any non-degenerate Hamiltonian is bounded from below by a version of total Betti number
From playlist Mathematics
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar Topic: The Arnold conjecture via Symplectic Field Theory polyfolds Speaker: Ben Filippenko Affiliation: University of California, Berkeley Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
What is the ham sandwich theorem?
From playlist Mathematics
Arnold Diffusion by Variational Methods - John Mather
John Mather Princeton University; Institute for Advanced Study October 26, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
symplectic topology - Lev Buhovsky
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: The Arnold conjecture, spectral invariants and C^0 symplectic topology Speaker: Lev Buhovsky Affiliation: Tel Aviv University Date: October 9, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
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
The Floer Jungle: 35 years of Floer Theory - Helmut Hofer
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: The Floer Jungle: 35 years of Floer Theory Speaker: Helmut Hofer Date: July 16th, 2021 An exceptionally gifted mathematician and an extremely complex person, Floer exhibited, as one friend put it, a "radical individu
From playlist Mathematics
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Complex polynomials and their factors | Linear Algebra MATH1141 | N J Wildberger
We look at the arithmetic of complex polynomials, prove both the Factor theorem and the Remainder theorem, and discuss the contentious "Fundamental theorem of Algebra" from a computational perspective. ************************ Screenshot PDFs for my videos are available at the website htt
From playlist Higher Linear Algebra
Barcodes and C0 symplectic topology - Sobhan Seyfaddini
Symplectic Dynamics/Geometry Seminar Topic: Barcodes and C0 symplectic topology Speaker: Sobhan Seyfaddini Affiliation: ENS Paris Date: December 17, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Corinna Ulcigrai - 1/4 Chaotic Properties of Area Preserving Flows
Flows on surfaces are one of the fundamental examples of dynamical systems, studied since Poincaré; area preserving flows arise from many physical and mathematical examples, such as the Novikov model of electrons in a metal, unfolding of billiards in polygons, pseudo-periodic topology. In
From playlist Corinna Ulcigrai - Chaotic Properties of Area Preserving Flows
The Frobenius conjecture in dimension two - Tony Yue Yu
Topic: The Frobenius conjecture in dimension two Speaker: Tony Yue Yu Affiliation: IAS Date: March 16, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
Some questions around quasi-periodic dynamics – Bassam Fayad & Raphaël Krikorian – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.2 Some questions around quasi-periodic dynamics Bassam Fayad & Raphaël Krikorian Abstract: We propose in these notes a list of some old and new questions related to quasi-periodic dynamics. A main aspect of quasi-per
From playlist Dynamical Systems and ODE
Xin Zhou - Recent developments in constant mean curvature hypersurfaces I
We will survey some recent existence theory of closed constant mean curvature hypersurfaces using the min-max method. We hope to discuss some old and new open problems on this topic as well. Xin Zhou (Cornell)
From playlist Not Only Scalar Curvature Seminar
Remarks on the long-time dynamics of 2D Euler - Theodore Dimitrios Drivas
Seminar in Analysis and Geometry Topic: Remarks on the long-time dynamics of 2D Euler Speaker: Theodore Dimitrios Drivas Affiliation: Member, School of Mathematics Date: May 10, 2022 We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimen
From playlist Mathematics
Claude Viterbo - Théorie des faisceaux et Topologie symplectique (Part 2)
L’utilisation de méthodes de théorie des faisceaux (Kashiwara-Schapira)a été dévelopée ces dernières années par Tamarkin, Nadler, Zaslow, Guillermou, Kashiwara et Schapira. Nous essaierons d’en donner un aperçu à la fois pour démontrer des résultats classiques, comme la conjecture d’Arnold
From playlist École d’été 2012 - Feuilletages, Courbes pseudoholomorphes, Applications
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One