Hessian estimates, monotonicity formulae, and applications

Seminar: 
Geometry & Topology
Event time: 
Tuesday, January 16, 2024 - 4:00pm
Location: 
KT 205
Speaker: 
Jiewon Park
Speaker affiliation: 
KAIST
Event description: 

Monotonicity formulae in geometric analysis have profound applications in many different problems. Quite often these formulae can be derived from Hessian estimates, also known as Li-Yau-Hamilton estimates. These estimates are often called differential Harnack estimates as well, since they imply Harnack estimates by integration along space or spacetime paths. In this talk we will focus on this connection, as well as a novel monotonicity formulae on Einstein manifolds.

Special note: 
Seminar talk is supported in part by the Mrs. Hepsa Ely Silliman Memorial Fund.