题目：PDE Free Boundary Problems from Biology报告人：Prof Bei Hu (Notre Dame University, USA)时间：2017年6月16日 （周五） 下午2：00-- 3：00地点：宁静楼104室欢迎各位参加

In this talk，a new model which describes the vegetation pattern formation in ecological evolution system will be discussed. The mathematical model consists of a degenerate reaction-diffusion system with a cross diffusion. It shows that the system has a global solution. Some other properties of weak solutions will be also discussed.

The presentation includes two parts. The first part is a brief introduction of adaptive designs in clinical trials. The second part presents a specific adaptive design, namely Bayesian optimal randomized design, summarized as follows. Consider a clinical trial with two or more treatments. Assignment of n patients to the treatments is sequential.

题目: A Parallel Projection Method for Minimizing a Finite Sum of Convex Functions报告人：徐洪坤 教授（第三世界科学院院士、杭州电子科大特聘教授）地点：教学北楼北108室时间：2017年6月7日(星期三) 下午2：30—3：30欢迎各位参

题目: 基于配对交易策略的动态资产配置问题研究报告人：张寄洲教授（上海师范大学）地点：教学北楼北108室时间：2017年6月7日(星期三)下午3：30—4：30欢迎各位参加

We show that in a spatial population model with strong Allee effect, the population becomes extinct no matter how large the initial population is, if the advection is strong enough. Hence the extinction equilibrium is globally asymptotically stable, which is quite different from the case of small or no advection that the dynamics is bistable. We will show results in both ODE patch model and reaction-diffusion-advection model. It is based on joint work with Leah Shaw, Maggie Swift, Yan Wang (College of William and Mary), and Jinfeng Wang (Harbin Normal University)

A coupled system of ordinary differential equations and partial differential equations is proposed to describe the interaction of pelagic algae, benthic algae and one essential nutrient in an oligotrophic shallow aquatic ecosystem with ample supply of light. The existence, uniqueness and stability of non-negative steady states are shown, and these results characterize some threshold conditions for the regime shift. The influence of environmental parameters on algal biomass density is also considered

题目：Discrete Game Theory and Applications in Nonlinear Partial Differential Equations报告人：柳青 教授（福冈大学）地点：致远楼107室时间：2017年6月5日，星期一 下午4：00—5：00欢迎各位参加

In this talk, I will give a brief introduction to the Cheeger-Colding theory. Firstly I review the definition of Gromov-Hausdorff distance and Gromov's precompactness theorem. Secondly I will focus on the three fundamental theorem in this field, i.e. Almost splittng theorem, Almost volume cone implying almost metric cone and volume continuity. I will explain the ideas to prove them. Finally I will mention some important applictions made by experts in this field and some open problems.

We study singular closed convex hypersurfaces with constant Weingarten curvature. The main result is two-folded: if the hypersurface with pointed singularities having $H_k=const$ for $1/leq k/leq n-1$ , then singularities are removable; while for k=n, there do exist singular convex hypersurfaces with constant Gaussian curvature, but if there are only two singular points, then the hypersurface must be a rotational symmetric football. This is a joint work with H. Fang and W. Wo