报告人：汪徐家教授(澳大利亚国立大学)题目：平均曲率流中的奇性结构时间：2013年6月6日(星期四)下午4：00—5：00地点：数学系致远楼201

报告人：薛军工教授(复旦大学)报告题目： 1. Backward stochastic differential equations2. Decoupled forward-backward stochastic differential equations and partial differential equation3. Convergence of Euler method for backward stochastic differential equations4. Implementations for Euler method时间：2013年6月6日-6月27日，每周四下午1：30—3：30地点：数学系致远楼10

题目：用英语撰写数学论文的技巧报告人：李福安教授（中国科学院数学与系统科学研究院）时间：2013年5月29日（周三）下午4:30-5:30地点：数学系致远楼107李福安教授是SCI杂志《Algebra Colloquium》副主编，中国科学院数学与系统科学研究院原党委书记。李福安教授在过去20年一直担任《Algebra Colloquium》的责任编委、副主编，在长期的工作中，发现了很多青年学者因英文写作和格式问题以致论文被拒的情况。作为编辑，他积累了...

报告人:张同华博士(Swinburne University of Technology)题目： Turing Instability and Bio-Pattern Formation时间：2013年5月29日(星期三)上午10：00—11：00地点：数学系致远楼10

n this talk, we discuss about a family of a robust nonparametric estimators for a regression function based on the kernel method when the explanatory r.v . are functional. We first recall some basic definition and we state the almost complete convergence of the estimator under the concentration property on small balls probability measure of the functional explanatory variable when the observations are strong mixing. After, we state the asymptotic normality of the constructed estimator in the two cases, iid and strong mixing. We illustrate our methodology by two examples for real data. Finally we give some open questions.

报告人：郭坤宇教授(复旦大学)题目：Operator theoretic analogue for Lehmer’s problem时间：2013年5月27日(星期一)下午4：00—5：00地点：数学系致远楼10

In this talk, we will introduce a class of stochastic differential equations with Levy noise including the motivation, some definition and properties. We propose several sufficient conditions under which we investigate the long-time behavior of the solution including the asymptotic stability in the pth moment and almost sure stability. Also, we discuss two types of continuity of the solution: continuous in probability and continuous in the pth moment. Finally, we provide two examples to illustrate the effectiveness of the theoretical results.

we give an algebra--combinatorics formula of the Mobius transform for an abstract simplicial complex on in terms of the Betti numbers of the Stanley--Reisner face ring of . Furthermore, we employ a way of compressing to estimate the lower bound of the sum of those Betti numbers by using this formula. As an application, associating with the moment-angle complex (resp. real moment-angle complex ) of , we show that the Halperin--Carlsson conjecture holds for (resp. ) under the restriction of the natural -action on (resp. -action on ).

报告人：郭柏灵院士(北京应用物理与计算数学研究所)题目： Low Regularity for the Nonlinear Schrodinger Equations with Derivative时间：2013年5月23日(星期四)上午10：00—11：00地点：数学系致远楼10

Through studying two questions on average subtree orders, we provide some insights on how `dense' or `sparse' a tree can be in this setting. Some characteristics of the dense and sparse trees will be presented. We also briefly mention results on `indistinguishable' graphs/trees that, among many graph invariants, possess the same subtree polynomials. Students are particularly welcome. These studies are inspired by Jamison's early papers and are joint work with S. Wagner and A. Vince.