Almgren's isomorphism theorem and parametric isoperimetric inequalities

Almgren's isomorphism theorem and parametric isoperimetric inequalities - Yevgeny Liokumovich

Yevgeny Liokumovich
Massachusetts Institute of Technology; Member, School of Mathematics
November 20, 2018
In the 60's Almgren initiated a program for developing Morse theory on the space of flat cycles. I will discuss some simplifications, generalizations and quantitative versions of Almgren's results about the topology of the space of flat cycles and their applications to minimal surfaces.

I will talk about joint works with F. C. Marques and A. Neves, and L. Guth.