Speaker
Luca Benatti
(Universität Wien)
Description
Monotonicity formulas appear in many areas of geometric analysis and have proved to be remarkably effective tools for a wide range of purposes, from geometric inequalities and rigidity phenomena to the study of regularity properties of solutions to PDEs.
In this talk, I will revisit a few stages of this story, showing how formulas arising in seemingly different settings share a common underlying structure. This point of view can provide new perspectives on known results and help tackle problems where some of the usual tools are less readily available.
Author
Luca Benatti
(Universität Wien)