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Jiewon Park, Hessian Estimates, Monotonicity Formulae, and Applications

June 26 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of


Jiewon Park

Various monotonicity formulae have profound applications in many different problems in geometric analysis. Quite often these formulae can be derived from pointwise Hessian estimates, also known as Li-Yau-Hamilton estimates or matrix Harnack inequalities. In this talk we will focus on this connection building upon Hessian estimates for the Green function, leading to novel monotonicity formulae on manifolds with certain curvature lower bounds and Einstein manifolds. Some of the results have counterparts for Kähler manifolds.


June 26
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Sungyeon Kim
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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