Title1: Mathematical principles of network analysis

Time: Thu, Mar.02 , 2017, AM 10:30

Location: Room 4131, Building No.4, Wushan Campus

Title2: The Bernstein problem

Time: Fri, Mar.03 , 2017, AM 10:00

Location: Room 4318, Building No.4, Wushan Campus

Title3: Generalized harmonic maps: Geometric, algebraic, and analytic aspects

Time: Sat, Mar.04 , 2017, AM 10:00

Location: Room 4318, Building No.4, Wushan Campus

Speaker: Prof. Jost (  Max-Planck-Gesellschaft )

Abstract1: I shall describe mathematical tools, like eigenvalue spectrum or generalized curvature notions, that are both mathematically rich and useful for the analysis of empirical data sets.

Abstract2: The Bernstein problem has been one of the guiding mathematical problems of the 20th century, and it still inspires mathematical research. It asks whether entire minimal graphs are necessarily flat.This  is  true for certain dimensions and codimensions, but not for others. We shall explore this problem and  provide new insight and new results via the geometry of the Gauss map and the theory of harmonic maps.

Abstract3:I develop a general theory of harmonic maps with values in metric spaces and describe applications to rigidity problems in algebraic geometry. This topic beautifully connects insights from geometry  and nonlinear PDEs via the notion of convexity.