Unsolved problems in mathematics
Smale's problems are a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of problems for the 21st century. Arnold's inspiration came from the list of Hilbert's problems that had been published at the beginning of the 20th century. (Wikipedia).
Light and Optics 7_2 Interference
Out of phase waves lead to interference.
From playlist Physics - Light and Optics
When you do math in your everyday life, you expect there to be a correct answer to your calculations, but when you're dealing with infinity, you can't even assume that there even IS a correct answer. Mathematician W. Hugh Woodin has dedicated his life to problems that may not even have an
From playlist Mathematics
Dealing with failure is one of the most challenging struggles as a scientist - we all experience it, and it can be challenging to cope with failure. https://www.patreon.com/thatchemist Community Discord - https://discord.gg/QWNPETtPcZ
From playlist Chemistry Wisdom
Problem #3 - Swinging Pendulum
Problem #3 - Swinging Pendulum
From playlist Bi-weekly Physics Problems
Peter Bürgisser: Condition: the geometry of numerical algorithms - Lecture 1
Abstract: The performance of numerical algorithms, both regarding stability and complexity, can be understood in a unified way in terms of condition numbers. This requires to identify the appropriate geometric settings and to characterize condition in geometric ways. A probabilistic analys
From playlist Numerical Analysis and Scientific Computing
Peter Bürgisser: Condition: the geometry of numerical algorithms - Lecture 2
Abstract: The performance of numerical algorithms, both regarding stability and complexity, can be understood in a unified way in terms of condition numbers. This requires to identify the appropriate geometric settings and to characterize condition in geometric ways. A probabilistic analys
From playlist Numerical Analysis and Scientific Computing
Maciej Zworski - From redshift effect to classical dynamics : microlocal proof of Smale's conjecture
Dynamical zeta functions of Selberg, Smale and Ruelle are analogous to the Riemann zeta function with the product over primes replaced by products over closed orbits of Anosov flows. In 1967 Smale conjectured that these zeta functions should be meromorphic but admitted "that a positive ans
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in
From playlist Fun
Light and Optics 5_2 Refractive Surfaces
Problems involving refractive surfaces.
From playlist Physics - Light and Optics
Talk Jose Antonio Carrillo: Swarming models with local alignment effects
The lecture was held within the of the Hausdorff Junior Trimester Program: Kinetic Theory Abstract: Phase transitions driven by noise are important to understand the robustness of asymptotic properties for particular solutions of kinetic equations. They encounter applications in many ins
From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods
This week’s video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out. Learn about the mighty double Klein bottle trick, be one of the first to find out about a fantastic new way to turn a sphere inside out and have another go at earni
From playlist Recent videos
The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck
Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Gabriel Rivière: Correlation spectrum of Morse-Smale flows
Abstract: I will explain how one can get a complete description of the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents and of the periods of the flow. I will also discuss the relation of these results with differential topology. This a joint work with Nguyen V
From playlist Topology
R. Haslhofer - The moduli space of 2-convex embedded spheres
We investigate the topology of the space of smoothly embedded n-spheres in R^{n+1}, i.e. the quotient space M_n:=Emb(S^n,R^{n+1})/Diff(S^n). By Hatcher’s proof of the Smale conjecture, M_2 is contractible. This is a highly nontrivial theorem generalizing in particular the Schoenflies theor
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
This WON'T Fool you... UNLESS you're a Magician!
*** HIT THE NOTIFICATION BUTTON SO YOU’LL NEVER MISS A VIDEO*** MAKE SURE YOU SUBSCRIBE AND LEAVE A COMMENT IF YOU WANT TO SEE MORE VIDEOS SUBSCRIBE HERE: https://www.youtube.com/CHRISRAMSAY52 Some light-hearted fun for the magicians out there. ;)
From playlist Magician Problems.
Jānis Lazovskis (8/26/20): Moduli spaces of Morse functions for persistence
Title: Moduli spaces of Morse functions for persistence Abstract: I will present the results of a two year collaborative project formed to better understand how persistence interacts with Morse functions on surfaces. Restricting to the sphere, Morse--Smale functions can be decomposed into
From playlist AATRN 2020
When you FINALLY get the courage to perform a Magic Trick!
*Awkward silence
From playlist Magician Problems.