Theorems in convex geometry | Integral geometry | Probability theorems
In integral geometry (otherwise called geometric probability theory), Hadwiger's theorem characterises the valuations on convex bodies in It was proved by Hugo Hadwiger. (Wikipedia).
What does this prove? Some of the most gorgeous visual "shrink" proofs ever invented
Bit of a mystery Mathologer today with the title of the video not giving away much. Anyway it all starts with the quest for equilateral triangles in square grids and by the end of it we find ourselves once more in the realms of irrationality. This video contains some extra gorgeous visual
From playlist Recent videos
A Colorful Unsolved Problem - Numberphile
James Grime on the Hadwiger–Nelson problem. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) Extra footage from this interview: https://youtu.be/7nBtRKvUox4 The Four Color Map Theorem: https://youtu.be/NgbK43jB4rQ More on James Grime (
From playlist James Grime on Numberphile
From playlist Geometry TikTok Problem Challenges
Andreas Bernig: Intrinsic volumes on pseudo-Riemannian manifolds
The intrinsic volumes in Euclidean space can be defined via Steiner’s tube formula and were characterized by Hadwiger as the unique continuous, translation and rotation invariant valuations. By the Weyl principle, their extension to Riemannian manifolds behaves naturally under isometric em
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
All kinds of big: Hadwiger's Theorem
A survey talk about Hadwiger's theorem, which describes all possible "measures of bigness" for sets in space. Meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the
From playlist Research & conference talks
Solving the Wolverine Problem with Graph Coloring | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi At one time, Wolverine served on four different superhero teams. How did he do it? He may have used graph coloring. Tweet at us! @pbsinfinite Facebook: facebook.com/pb
From playlist An Infinite Playlist
Aubrey de Grey on his Mathematics Research and Longevity | Hadwiger- Nelson Problem.
I got lucky to have Dr. de Grey talk to me about his mathematics research and his academic life in general. In 2018, he proved that the chromatic number of a plane should be at least 5. The original paper can be found here: https://arxiv.org/abs/1804.02385 You can contact Aubrey via thi
From playlist Interviews
Four theorems about the Euler characteristic and some space invaders
A talk about Euler characteristics and digital topology meant for a general quantitatively literate audience- hopefully understandable to anybody who can handle basic mathematical ideas. I gave this talk at the weekly colloquium for the Fairfield University summer research groups, includin
From playlist Research & conference talks
Inna Zakharevich : Coinvariants, assembler K-theory, and scissors congruence
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 24, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)
This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f
From playlist Math 1171 (Calculus 1) Fall 2021