Brauer代数起源于正交群和辛群的Schur-Weyl对偶。Brauer代数能被看成一种付随于置换群的数学对象。本次报告中我们考虑如何对一般的Coxeter群以及拟反射群引进类似的代数，即广义Brauer代数。我们介绍给出这些代数的表现，并且在某些特殊情形给出它们的结构与表示的描述。这些广义Brauer代数的变形有望能给出许多新的拟反射群对应的复辫子群的表示，有助于回答这些复辫子群是否为线性群之类的问题

In this talk, we firstly present bifurcation analyses in predator-prey systems of Leslie type with generalized Holling type III functional response, and then introduce our recent works about bifurcation applications in predator-prey systems with harvesting.

酗酒是危害人类健康的危险行为之一，本报告考虑公共健康教育、Twitter和时滞的影响，建立三类酗酒动力学模型，给出了模型的基本再生数。同时研究了平衡点的局部和全局稳定性。进一步研究了前向，后向和Hopf分支以及最优控制问题。同时给出了数值模拟

本文主要研究污染环境下具有年龄结构的种群复杂系统的最优控制问题。即建立了小环境容量下具有年龄结构和毒素作用的种群模型， 利用不动点定理讨论了该模型解的存在唯一性；采用法锥技巧得到了控制的最优性条件；同时利用Ekeland's 变分原理得到了最优控制的存在性。

Online social network as a new platform for information diffusion and establishing social relations has gradually become a hot topic of researches. However, due to the less constraint for virtual crowds in online social networks, it has greatly weakened the certainty and the reliability of all kinds of network information. In view of this, through establishing an appropriate mathematical model to analyze, forecast and control rumor propagation is particularly important. This report comprehensively considers the effects of time delay, spatial diffusion, the government, media and network topology on rumor propagation and established several delayed reaction-diffusion network rumor propagation models.

题目:Modular Invariance in Conformal Field Theory报告人:董崇英 (加州大学教授)时间: 2016年5月11日(周三) 10:30-11:30地点：致远楼107室欢迎广大师生参

What is the flow in the center manifold and homoclinc manifold? We consider famous generalized Henon-Heiles(H-H) system. For the three integrable cases, on the basis of the investigation of the dynamical behavior and level curves of the planar dynamical systems, we find all possible explicit exact parametric representations of solutions in the invariant manifolds of the four dimensional phase space. These solutions contain quasi-periodic solutions, homoclinic solutions, periodic solutions as well as blow-up solutions.

The investigations of age structures in population growth via differential systems are presented from three aspects: modeling, model reduction and application. The structured population growth is normally described by a PDE equation equipped with an appropriate boundary condition and initial date. However, various ordinary/functional differential systems can be reduced from the general PDE equation with respective biological assumptions. This talk will present some delay differential equations to describe predator-prey interaction, population growth with inter- and intra- specific competition, and size-structured population growth.