YoVDO

Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman

Offered By: Institute for Advanced Study via YouTube

Tags

Riemannian Geometry Courses Geometry Courses Geodesics Courses

Course Description

Overview

Explore the intricate geometry of 2-dimensional Riemannian disks and spheres in this Members' Seminar presented by Regina Rotman from the University of Toronto. Delve into topics such as the proof of geodesics, sweep out techniques, round sphere properties, and curve shortening processes. Examine a specific example and problem, followed by its solution, to gain a deeper understanding of these geometric concepts. This hour-long lecture, delivered at the Institute for Advanced Study, offers valuable insights for mathematicians and geometry enthusiasts alike.

Syllabus

Intro
Proof of geodesics
Sweep out
Round sphere
Curve shortening
Example
Problem
Solution


Taught by

Institute for Advanced Study

Related Courses

General Relativity
Massachusetts Institute of Technology via MIT OpenCourseWare
An Introduction to Hyperbolic Geometry
Indian Institute of Technology Kanpur via Swayam
Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri by Sunil Mukhi
International Centre for Theoretical Sciences via YouTube
Rotationally Invariant First Passage Percolation: Scaling Relations and Chaos - ICBS 2024
BIMSA via YouTube
A Fixed Point Theorem for Isometries of Metric Spaces
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube