Minkowski's theorem

Minkowski's inequality

This is a basic introduction to Minkowski's inequality, which has many applications in mathematics. A simple case in the Euclidean space R^n is discussed with a proof provided.

From playlist Mathematical analysis and applications

A simple proof of a reverse Minkowski inequality - Noah Stephens-Davidowitz

Computer Science/Discrete Mathematics Seminar II Topic: A simple proof of a reverse Minkowski inequality Speaker: Noah Stephens-Davidowitz Affiliation: Visitor, School of Mathematics Date: April 17, 2018 For more videos, please visit http://video.ias.edu

From playlist Mathematics

[ANT05] Minkowski's geometry of numbers

Unsurprisingly, many of the pictures we've drawn are honest geometric objects, leaving them open to geometric attacks.

From playlist [ANT] An unorthodox introduction to algebraic number theory

Minkowski Metric | Special Relativity

▶ Topics ◀ Euclidean/Minkowski Metric, Spacelike, Timelike, Lightlike ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on

From playlist Minkowski Diagrams

Minkowski Diagrams | Special Relativity

▶ Topics ◀ Minkowski Diagrams, Event, World Line, Special Relativity ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on P

From playlist Minkowski Diagrams

Emanuel Milman - The log-Minkowski Problem - IPAM at UCLA

Recorded 09 February 2022. Emanuel Milman of Technion - Israel Institute of Technology presents "The log-Minkowski Problem" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The classical Minkowski problem asks to find a convex body K in Rn having a prescrib

From playlist Workshop: Calculus of Variations in Probability and Geometry

Relativity 8 - the yardstick of spacetime

The final piece of the puzzle falls in place. Herman Minkowski showed that Special Relativity defines a spacetime invariant - the "proper time" - between two events. Einstein's insight into the equivalence between falling and floating allowed him to realize that this also applied to Genera

From playlist Relativity

Minkowski Space-Time: Spacetime in Special Relativity

Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.

From playlist Physics

Embeddedness of timelike maximal surfaces in (1+2) Minkowski Space by Edmund Adam Paxton

Discussion Meeting Discussion meeting on zero mean curvature surfaces (ONLINE) Organizers: C. S. Aravinda and Rukmini Dey Date: 07 July 2020 to 15 July 2020 Venue: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be co

From playlist Discussion Meeting on Zero Mean Curvature Surfaces (Online)

Anna Sakovich: On the mass of asymptotically hyperbolic manifolds and initial data set

HYBRID EVENT A complete Riemannian manifold is called asymptotically hyperbolic if its ends are modeled on neighborhoods of infinity in hyperbolic space. There is a notion of mass for this class of manifolds defined as a coordinate invariant computed in a fixed asymptotically hyperbolic en

From playlist Analysis and its Applications

Stability of the spacetime positive mass theorem in spherical symmetry - Marcus Khuri

More videos on http://video.ias.edu

From playlist Mathematics

What's the Geometry of Numbers? - Minkowski's Theorem #SoME2

We're looking at Minkowski's Geometry of Numbers Theorem and applying it to prove the so-called Fermat's Christmas Theorem. #SoME2 Timetable: 0:00 - Introduction 1:55 - Symmetric Convex Bodies 3:28 - Proving the Main Theorem 7:00 - Other Lattices 7:44 - Fermat's Christmas Theorem 10:35 -

From playlist Summer of Math Exposition 2 videos

Yashar Memarian: A Brunn Minkowski type inequality on the sphere

The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis

From playlist HIM Lectures 2015

Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri (L2) by Sunil Mukhi

Seminar Lecture Series - Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri Speaker: Sunil Mukhi (IISER Pune) Date : Mon, 20 March 2023 to Fri, 21 April 2023 Venue: Online (Zoom & Youtube) ICTS is pleased to announce special lecture series by Prof. Sunil Mukh

From playlist Lecture Series- Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri -2023

Mokshay Madiman : Minicourse on information-theoretic geometry of metric measure

Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 28, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician

From playlist Geometry

Jonathan Luk - A tale of two tails - IPAM at UCLA

Recorded 25 October 2021. Jonathan Luk of Stanford University presents "A tale of two tails" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: Motivated by the strong cosmic censorship conjecture, we study precise late-time tails for solutions to wave equa

From playlist Workshop: Mathematical and Numerical Aspects of Gravitation

I. Belegradek - Smoothness of Minkowski sum and generic rotations

I will discuss whether the Minkowski sum of two compact convex bodies can be made smoother by a generic rotation of one of them. Here "generic" is understood in the sense of Baire category. The main result is a construction of an infinitely differentiable convex plane domain whose Minkows

From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie

Minkowski sums, mixed faces and combinatorial isoperimetry - Adiparsito

Computer Science/Discrete Mathematics Seminar II Topic: Minkowski sums, mixed faces and combinatorial isoperimetry Speaker: Karim Adiprasito Date: Tuesday, February 23 I want to sketch some algebraic and geometric tools to solve a variety of extremal problems surrounding Minkowski sums of

From playlist Mathematics

Ramon van Handel: The mysterious extremals of the Alexandrov-Fenchel inequality

The Alexandrov-Fenchel inequality is a far-reaching generalization of the classical isoperimetric inequality to arbitrary mixed volumes. It is one of the central results in convex geometry, and has deep connections with other areas of mathematics. The characterization of its extremal bodie

From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability