Singularities and Diffeomorphism - IPAM at UCLA

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Course Description

Overview

Explore a 32-minute lecture on "Singularities and diffeomorphism" presented by Tobias Colding from the Massachusetts Institute of Technology at IPAM's Calculus of Variations in Probability and Geometry Workshop. Delve into the main problem, special cases, and richer flow concepts before examining singularities and their classification. Follow the theorem's extension, proof, and improvement, covering topics such as propagation, quadratic rigidity, and polynomials. Investigate the gate problem, infinite dimension, and linearization before concluding with a comprehensive summary. Gain insights into advanced mathematical concepts and their applications in probability and geometry.

Syllabus

Intro
The main problem
Special cases
Richer flow
Singularities
Classification
Theorem
Extension
Proof
Improvement
Propagation
Quadratic rigidity
Polynomials
Gate problem
Infinite dimension
Linearization
Summary

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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