臺灣大學數學系演講公告 博士生論文口試

Speaker：呂楊凱

Title：Lagrangian Self-Similar Solutions for Mean Curvature Flow

Abstract：In this paper, we generalize Colding and Minicozzi's work on the stability of self-shrinkers in the hypersurface case to higher co-dimensional cases. The 1st and 2nd variation formula of the F-functional are derived and an equivalent condition to the stability in general codimension is found. We also classify stable product self-shrinkers. Furthermore, we show that the Lagrangian self-shrinkers given by Anciaux are unstable.

Time：10:00, June. 14(Thu.), 2012

Place：Room 440, Astronomy and Mathematics Building, National Taiwan University(臺灣大學天文數學館440室)