Euclidean Spaces Courses and Certifications

Projection Theory in Euclidean Space - Lecture 3

Explore fundamental projection theory methods adapted for Euclidean space, examining multiple scales and their mathematical applications in this advanced mathematics lecture.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

ICTP Mathematics

A Survey of Volume Inequalities - Basic Notions Seminar - 2019

Explores volume inequalities in Euclidean space, discussing identities and inequalities for convex sets and star-bodies. Covers Gromov's conjecture and is accessible to a general mathematical audience.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Random Polytopes

Explores beta and beta' polytopes in stochastic geometry, discussing random cones, Poisson cells, and spherical objects. Examines angles and functionals of these models.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Finite Point Configurations in Euclidean, Discrete, and Arithmetic Settings

Explore finite point configurations across Euclidean, discrete, and arithmetic spaces. Discover size requirements for subsets containing congruent copies of given configurations, with connections to learning theory.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Sobolev Spaces: Density of Test Functions in Euclidean Space - Part 2

Explore density of test functions in Sobolev spaces on Euclidean space, advancing understanding of mathematical analysis.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Johnathan Bush - Maps of Čech and Vietoris–Rips Complexes into Euclidean Spaces

Explore simplex-preserving maps in Čech and Vietoris–Rips complexes, their applications, and the challenge of finding such maps from various domains to Euclidean spaces.

• YouTube
• 45 minutes
• On-Demand
• Free Video

HyperComplex Seminar

On Weak 1-Semiconvexity of Open Sets in Euclidean Spaces

Explore weak 1-semiconvexity in Euclidean spaces, examining its properties, connections to linearly accessible domains, and implications for set disconnectedness in higher dimensions.

• YouTube
• 19 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Hubert Wagner - Topological Data Analysis in Non-Euclidean Spaces

Explore topological data analysis in non-Euclidean spaces, focusing on techniques for applying TDA tools and their applications in detecting neural network backdoor attacks.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Backward Martingale Transport and Fitzpatrick Functions in Pseudo-Euclidean Spaces

Explore backward martingale transport and Fitzpatrick functions in pseudo-Euclidean spaces, focusing on a one-period multidimensional problem with quadratic objective and its applications in financial mathematics.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Rigidity of Mass-Preserving 1-Lipschitz Maps from Integral Current Spaces into Euclidean Spaces

Explore rigidity of mass-preserving 1-Lipschitz maps from integral current spaces to Euclidean balls, proving isometry conditions and discussing stability of positive mass theorem for graphical manifolds.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Projection Theory - Spring 2025

Explore advanced projection theory connecting geometry, harmonic analysis, and combinatorics through studying objects via their shadows in different directions.

• YouTube
• 1 day 7 hours 32 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Skeletonization Algorithms With Theoretical Guarantees for Point Clouds

Explore skeletonization algorithms for point clouds, including Mapper, alpha-Reeb graphs, and Homologically Persistent Skeleton. Compare their performance on synthetic and real data sets.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Joint Mathematics Meetings

Differential Operators and the Geometry of Domains in Euclidean Space

Explore the interplay between differential operators and domain geometry in Euclidean space with Tatiana Toro's insightful lecture, the inaugural AMS Maryam Mirzakhani Lecture at JMM 2020.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Valence Labs

On the Expressive Power of Geometric Graph Neural Networks

Explore the expressive power of geometric graph neural networks, focusing on the Geometric Weisfeiler-Leman test and its implications for distinguishing geometric graphs while respecting physical symmetries.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Furstenberg Sets Estimates with Application to Restriction Theory

Explore advanced mathematical concepts connecting Kakeya sets, Hausdorff dimensions, and Fourier restriction theory through wave packet decompositions in this research seminar.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video