Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Positive Mass Theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds

Harvard CMSA via YouTube

Start learning Write review
Scrimba Ad

Free courses from frontend to fullstack and AI

Learn More → Boot.dev Ad

Learn Backend Development Part-Time, Online

Learn More →

Overview

Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Join this General Relativity Seminar featuring Dr. Aghil Alaee from Clark University as he explores the positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds. Discover one of the fundamental conjectures in mathematical relativity regarding the positivity of total mass for complete non-compact Riemannian manifolds with appropriate lower bounds on scalar curvature. Learn how this conjecture has been proven for AE manifolds through celebrated results by Schoen-Yau and Witten, while examining counter-examples in AF, ALF, and ALE cases. Dr. Alaee presents a refined version of this conjecture and demonstrates its proof for toric 4-manifolds, explaining how this robust approach can potentially extend to higher dimensions with additional assumptions. The talk covers joint work with Marcus Khuri and Hari Kunduri, providing valuable insights into this complex area of mathematical relativity.

Syllabus

Aghil Alaee | Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds

Taught by

Harvard CMSA

Reviews

Start your review of Positive Mass Theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds

Start learning

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free
Someone learning on their laptop while sitting on the floor.