New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces
Offered By: Centre de recherches mathématiques - CRM via YouTube
Course Description
Overview
Explore new isoperimetric inequalities and their applications in systolic geometry and minimal surfaces in this 52-minute lecture from the Colloque des sciences mathématiques du Québec. Delve into Yevgeny Liokumovich's Aisenstadt Prize-winning research, which introduces two novel isoperimetric inequalities for k-dimensional submanifolds in R^n or Banach spaces. Discover how these inequalities lead to a new systolic inequality, confirming Larry Guth's conjecture, and an asymptotic formula for minimal submanifold volumes, validating Mikhail Gromov's prediction. Gain insights into collaborative work with Boris Lishak, Alexander Nabutovsky, Regina Rotman, Fernando Marques, Andre Neves, and Larry Guth, advancing understanding in mathematical geometry and topology.
Syllabus
Yevgeny Liokumovich: New isoperimetric inequalities & their applications to systolic geometry [...]
Taught by
Centre de recherches mathématiques - CRM
Related Courses
An Introduction to Functional AnalysisÉcole Centrale Paris via Coursera FUNCTIONAL ANALYSIS
IMSC via Swayam Quantum Theory
Friedrich–Alexander University Erlangen–Nürnberg via YouTube Functional Analysis
The Bright Side of Mathematics via YouTube The Mother of All Representer Theorems for Inverse Problems and Machine Learning - Michael Unser
Alan Turing Institute via YouTube