学术报告 报告题目1： L2 estimates on p-comvex Riemannian manifolds.
报 告 人：嵇庆春 教授（复旦大学）
报告时间：1月27日 （周三）上午 9:00-9:45
报告地点：4号楼4135室
报告摘要：we will talk about L2 estimates on p-comvex Riemannian manifolds. As geometric applications, we derive topological restrictions of p-convexity by using L2 method without any assumptions on sectional curvature.
报告题目2：Recent progress on the second main Theorem.
报 告 人：于光升 博士（复旦大学）
报告时间：1月27日 （周三）上午 10:00-10:45
报告地点：4号楼4135室
报告摘要：We will start from Cartan's second main Theorem which is the core of Nevanlinna theory and talk about and its recent progress for hypersurfaces.
报告题目3：On the $p$-pseudoharmonic map heat flow
报 告 人： 韩英波 副教授（信阳师范学院）
报告时间：1月27日 （周三）下午 15:00-16:45
报告地点：4号楼4135室
报告摘要：In this paper, we consider the heat flow for $p$-pseudoharmonic maps from a closed Sasakian manifold $(M^{2n+1},J,/theta)$ into a compact Riemannian manifold $(N^{m},g)$. We prove global existence and asymptotic convergence of the solution for the $p$-pseudoharmonic map heat flow, provided that the sectional curvature of the target manifold $N$ is nonpositive. Moreover, without the curvature assumption on the target manifold, / we obtain global existence and asymptotic convergence of pseudoharmonic map heat flow as well when the its initial $p$-energy is sufficiently small.
报告题目4：Parabolic vector bundle and related analytic problems
报 告 人：张玮 副教授（华南理工大学）
报告时间：1月27日 （周三）下午 17:00-17:45
报告地点：4号楼4135室
报告摘要： Parabolic vector bundle raised from the study of modular curves in algebraic geometry. The Parabolic structure at the puncture corresponds to a growth condition of a noncompact manifold at the infinite. To study them, we borrow the so called concept weighted Sobolev space form analysis, and try to solve the heat equation on a noncompact manifold under weighted Sobolev space.
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数学学院
2016年01月25日