时间：2024年5月28日14：00-16：45
地点：光华东主楼2201室
主持人：陈猛教授
报告一：
报告人：黄耿耿副教授
题目：Long time regularity of the Gauss Curvature Flow with flat sides
时间：14：00-14：50
摘要: In this talk, we prove the long time regularity of the interface in the $p$-Gauss Curvature Flow with flat sides in higher dimensions with $p>\frac1n$. Here the interface is between the uniformly convex part and the flat part of the flow. In dimension $2$, this problem has been solved by Daskalopoulos-Lee for $p=1$ and by Kim-Lee-Rhee for $p\in(1/2,1)$. This is a joint work with Prof. Wang Xu-Jia and Zhou Yang.
茶歇时间：14：50-15：05
报告二：
报告人：吴波副研究员
题目：Functional inequalities on general Riemannian loop spaces
时间：15：05-15：55
摘要：Functional inequalities are very useful tools in the study of analysis area, especially in the infinite dimensional analysis. In this talk, First, we will introduce some background and known results on Riemannian loop spaces. Next, the integraion by parts formulas on general Riemannian loop spaces will be presented, by constructing a new quasi-invariant flow with respect to the associated Brownian bridge measure. Furthermore we will establish some functional inequalities for the Brownian bridge measure by using the above formula of integration by parts. These are based on joint works with Xin Chen and Xue-Mei Li.
报告三：
报告人：任汝飞副教授
题目：The localized Gouvea-Mazur conjecture
时间：15：55-16：45
摘要：Gouvea and Mazur in [GM92] conjecture that the Up-slopes of two modular spaces S_k(\Gamma_0(Np)) and S_k'(\Gamma_0(Np)) are the same at least up to v_p(k-k’). In this talk, I will introduce the progressions on this conjecture, especially on its local version.The talk is mainly based on the current results from Ruochuan Liu, Nha Truong, Liang Xiao, and Bin Zhao on the local Ghost conjecture, and mine on the localized Gouvea-Mazur conjecture.
复旦大学数学科学学院
非线性数学模型与方法教育部重点实验室
