Date: 2021-4-23 to 2021-4-25

Place：Room 227 School of Mathematical Science

 Ding Qing  Fudan University

Title：Vortex Filament on Symmetric Lie Algebras and Generalized Bi-Schr"odinger Flows
Abstract：In this talk, we display an evolving model on symmetric Lie algebras from a purely geometric way by using the Hamiltonian (or para-Hamiltonian) gradient flow of a fourth order functional called generalized bi-Schr"odinger flows, which corresponds to the Fukumoto-Moffatt's model in the theory of moving curves, or the vortex filament in physical words, in $mathbb R^3$. The theory of vortex filament in $mathbb R^3$ or $mathbb R^{2,1}$ up to the third-order approximation is shown to be generalized to symmetric Lie algebras in a unified way.

Yang Ling  Fudan University
Title：Lawson-Osserman cone and related problems
Abstract：In this talk, we will recall some results related to the Lawson-Osserman cone, including the higher codimensional Bernstein type theorems, the progress on the construction of the Lawson-Osserman cone.

Ding Qi  Fudan University
Title：Minimal hypersurfaces in manifolds
Abstract：In this talk, we will introduce the theory of minimal hypersurfaces in manifolds. In complete manifolds of nonnegative Ricci curvature, the area-minimizing hypersurfaces have rigidity in some sense. With Cheeger-Colding theory, we will discuss the regularity of area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below.

Organizer：School of Mathematical Science

Students and teachers who are interested are welcome.