Speaker:Deping Ye (Memorial University of Newfoundland)
Time:2025-11-21 17:00
Location:Conference Room S102 at Experiment Building at Haiyun Campus
Abstract:
Convex functions play a fundamental role in analysis, geometry, PDEs, and information theory, and thus understanding their analytic and geometric behavior has become increasingly important.
In this talk, I will describe some of our recent developments concerning the geometry of convex functions. I will focus on variational formulas arising from the Asplund sum, which naturally lead to measures associated with convex functions. I will also discuss the corresponding Minkowski-type problems and present their solutions.