Hausdorff School: Introduction by Karl-Theodor Sturm
Presentation of the Hausdorff School by Karl-Theodor Sturm, coordinator of the Hausdorff Center. The “Hausdorff School for Advanced Studies in Mathematics” is an innovative new program for postdocs by the Hausdorff Center. The official inauguration took place on October 20, 2015.
From playlist Inauguration of Hausdorff School 2015
An introduction to the Gromov-Hausdorff distance
Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any
From playlist Tutorials
Applications of analysis to fractional differential equations
I show how to apply theorems from analysis to fractional differential equations. The ideas feature the Arzela-Ascoli theorem and Weierstrass' approximation theorem, leading to a new approach for solvability of certain fractional differential equations. When do fractional differential equ
From playlist Mathematical analysis and applications
Hausdorff Example 1: Cofinite Topology
Point Set Topology: We recall the notion of a Hausdorff space and consider the cofinite topology as a source of non-Hausdorff examples. We also note that this topology is always compact.
From playlist Point Set Topology
Hausdorff School: Lecture by Jean-Pierre Bourguignon
Inauguration of the Hausdorff School The “Hausdorff School for Advanced Studies in Mathematics” is an innovative new program for postdocs by the Hausdorff Center. The official inauguration took place on October 20, 2015. Lecture by Jean-Pierre Bourguignon on "Sound, Shape, and Harmony –
From playlist Inauguration of Hausdorff School 2015
Maximum modulus principle In this video, I talk about the maximum modulus principle, which says that the maximum of the modulus of a complex function is attained on the boundary. I also show that the same thing is true for the real and imaginary parts, and finally I discuss the strong max
From playlist Complex Analysis
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Sergey Dorogovtsev - Complex network approach to evolving manifolds and simplicial complexes
https://indico.math.cnrs.fr/event/3475/attachments/2180/2574/Dorogovtsev_GomaxSlides.pdf
From playlist Google matrix: fundamentals, applications and beyond
Schemes 5: Definition of a scheme
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We give some historical background, then give the definition of a scheme and some simple examples, and finish by explaining the origin of the word "spectrum".
From playlist Algebraic geometry II: Schemes
Hausdorff School: Lecture by László Székelyhidi
Inauguration of the Hausdorff School The “Hausdorff School for Advanced Studies in Mathematics” is an innovative new program for postdocs by the Hausdorff Center. The official inauguration took place on October 20, 2015. Lecture by László Székelyhidi on "The h-principle in fluid mechanic
From playlist Inauguration of Hausdorff School 2015
Dmitriy Bilyk: On the interplay between uniform distribution,discrepancy, and energy
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications". Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo
From playlist Analysis and its Applications
Igor Kortchemski: Condensation in random trees - Lecture 3
We study a particular family of random trees which exhibit a condensation phenomenon (identified by Jonsson & Stefánsson in 2011), meaning that a unique vertex with macroscopic degree emerges. This falls into the more general framework of studying the geometric behavior of large random dis
From playlist Probability and Statistics
Hausdorff Example 3: Function Spaces
Point Set Topology: For a third example, we consider function spaces. We begin with the space of continuous functions on [0,1]. As a metric space, this example is Hausdorff, but not complete. We consider Cauchy sequences and a possible completion.
From playlist Point Set Topology
Fourier decay for limit sets - Semyon Dyatlov
Emerging Topics Working Group Topic: Fourier decay for limit sets Speaker: Stéphane Nonnemache Affiliation: Semyon Dyatlov Date: October 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Benjamin Steinberg: Cartan pairs of algebras
Talk by Benjamin Steinberg in Global Noncommutative Geometry Seminar (Americas), https://globalncgseminar.org/talks/tba-15/ on Oct. 8, 2021
From playlist Global Noncommutative Geometry Seminar (Americas)
Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle
Daniel Sutton: An effective description of Hamiltonian dynamics via the Maupertuis principle We study effective descriptions for the motion of a particle moving in a bounded periodic potential, as governed by Newton's second law. In particular we seek an effective equation, describing the
From playlist HIM Lectures 2015
Diana Stan: The fast p-Laplacian evolution equation Global Harnack principle and fine asymptotic
We study fine global properties of nonnegative solutions to the Cauchy Problem for the fast p-Laplacian evolution equation on the whole Euclidean space, in the so-called ”good fast diffusion range”. It is well-known that non-negative solutions behave for large times as B, the Barenblatt (o
From playlist Hausdorff School: Trending Tools
When do fractional differential equations have maximal solutions?
When do fractional differential equations have maximal solutions? This video discusses this question in the following way. Firstly, a comparison theorem is formulated that involves fractional differential inequalities. Secondly, a sequence of approximative problems involving polynomials
From playlist Research in Mathematics
Vaughn Climenhaga: Closed geodesics and the measure of maximal entropy on surfaces without...
For negatively curved Riemannian manifolds, Margulis gave an asymptotic formula for the number of closed geodesics with length below a given threshold. I will describe joint work with Gerhard Knieper and Khadim War in which we obtain the corresponding result for surfaces without conjugate
From playlist Jean-Morlet Chair - Pollicott/Vaienti