In mathematics, specifically the field of algebraic number theory, a Minkowski space is a Euclidean space associated with an algebraic number field. If K is a number field of degree d then there are d distinct embeddings of K into C. We let KC be the image of K in the product Cd, considered as equipped with the usual Hermitian inner product. If c denotes complex conjugation, let KR denote the subspace of KC fixed by c, equipped with a scalar product. This is the Minkowski space of K. (Wikipedia).
[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 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
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
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
What is General Relativity? Lesson 5: The Catalogue of Spacetimes
What is General Relativity? Lesson 5: The Catalogue of Spacetimes - Minkowski Spacetime I invite you to download the Catalog of Spacetimes at : https://arxiv.org/abs/0904.4184 to use as a reference for the rest of the course.
From playlist What is General Relativity?
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
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
Tutorial for Juan Maldacena lectures by Yiming Chen
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
QED Prerequisites Geometric Algebra: Spacetime.
In this lesson we continue our reading of an excellent paper on Geometric Algebra and spacetime algebra. The paper can be found here: https://arxiv.org/abs/1411.5002 We will cover section 3.1 and begin section 3.2. This material includes our first expansion of the vector space of spacet
From playlist QED- Prerequisite Topics
Aspects of Eternal Inflation, part 3 - Leonard Susskind
Aspects of Eternal Inflation, part 3 Leonard Susskind Stanford University July 20, 2011
From playlist PiTP 2011
Entanglement in QFT and Quantum Gravity (Lecture 1) by Tom Hartman
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
Black Hole Dynamics at large D by Shiraz Minwalla
Discussion Meeting The Future of Gravitational-Wave Astronomy ORGANIZERS: Parameswaran Ajith, K. G. Arun, B. S. Sathyaprakash, Tarun Souradeep and G. Srinivasan DATE: 19 August 2019 to 22 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore This discussion meeting, organized in c
From playlist The Future of Gravitational-wave Astronomy 2019
Gautam Mandal - Introduction to Hawking radiation (1)
PROGRAM: THE 8TH ASIAN WINTER SCHOOL ON STRINGS, PARTICLES AND COSMOLOGY DATES: Thursday 09 Jan, 2014 - Saturday 18 Jan, 2014 VENUE: Blue Lily Hotel, Puri PROGRAM LINK: http://www.icts.res.in/program/asian8 The 8th Asian Winter School on Strings, Particles and Cosmology is part of a seri
From playlist The 8th Asian Winter School on Strings, Particles and Cosmology
Inflation (Lecture 4) by Paolo Creminelli
Program Cosmology - The Next Decade ORGANIZERS : Rishi Khatri, Subha Majumdar and Aseem Paranjape DATE : 03 January 2019 to 25 January 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The great observational progress in cosmology has revealed some very intriguing puzzles, the most i
From playlist Cosmology - The Next Decade
Sergiu Klainerman - 3/4 On the Mathematical Theory of Black Holes
https://indico.math.cnrs.fr/event/3463/ The gravitational waves detected by LIGO were produced in the final faze of the inward spiraling of two black holes before they collided to produce a more massive black hole. The experiment is entirely consistent with the so called Final State Conjec
From playlist Sergiu Klainerman - On the Mathematical Theory of Black Holes
Rainer Verch: Linear hyperbolic PDEs with non-commutative time
Motivated by wave or Dirac equations on noncommutative deformations of Minkowski space, linear integro-differential equations of the form (D + sW) f = 0 are studied, where D is a normal or prenormal hyperbolic differential operator on Minkowski spacetime, s is a coupling constant, and W i
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Sergiu Klainerman - Remarks on the stability of Kerr for axisymetryc perturbations
Remarks on the stability of Kerr for axisymetryc perturbations Licence: CC BY NC-ND 4.0
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
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