Cahit Arf Lecture 2016 by Andre Neves
Andre NevesImperial College
Min-max Methods in Geometry
|Date:|| (To Be Announced)
Cahit Arf Auditorium
Min-max methods were first introduced in Geometry by Birkhoff in 1920 and the theory was later expanded by Almgren in the 60's and Pitts in the 80's. Recently it has been used by Fernando Marques and myself to prove the Willmore conjecture, the Freedman-He-Wang conjecture, and a old conjecture of Yau in the positive Ricci curvature setting. I will survey these results, talk about new developments, and mention some new directions.