时间：2012年3月25日

地点：管理科研楼1318

报告1：上午9:00-10:00

报告人：T.Downarowicz 教授，Institute of Mathematics and Computer Science, Wroclaw University of Technology   

题目: Chaos in Ergodic Systems

摘要：We will define chaos in measurable dynamics and show that it is an isomorphism invariant and how it is related to the topological notion.

报告2：上午10:00-10:30

报告人：张国华 教授，复旦大学数学学院 

题目：Entropy Theory of Countable Group Actions

摘要：One of central  problems in ergodic theory is deciding when two measurable dynamical systems  are measurably   conjugate. The usual way to tackle the problem is to look  for measure-isomorphism invariants. The concept of entropy is the most important isomorphism invariant among them. In this survey, I shall mainly discuss the (global and local) entropy theory about dynamical systems of  countable group actions.

报告3：上午10::30-11:00

报告人：Dawid Huczek 博士，Institute of Mathematics and Computer Science, Wroclaw University of Technology 

题目: Rank as a Function of Measure 

摘要：We describe the topological and  algebraical properties of rank as a function on the set of invariant  measures on a topological dynamical system.

报告4：下午2:30-3:00

报告人：叶向东教授，中国科学技术大学数学学院 

摘要：TBA

报告5：下午3:00-3:30

报告人：李健 博士，中国科学技术大学数学学院

题目：Dynamical characterization of C-sets and its application

摘要：In this talk, we will present a general correspondence between the algebra properties of $/bN$ and the sets defined by dynamical properties. In particular, we obtain a dynamical characterization of C-sets, where C-sets are the sets satisfying the strong Central Sets Theorem. As an application, we show that Rado systems are solvable in C-sets.

报告6：下午3:30-4:00

报告人：严可颂 博士，中国科学技术大学数学学院 

题目：Sub-additive and Asymptotically Sub-additive topological pressure for Z^d-actions

摘要：We introduce the topological pressure for any sub-additive potentials and asymptotically Sub-additive potentials of Z^d-actions, and establish the variational principle for them.

报告7：下午4:00-4:30

报告人：李书平 博士，中国科学技术大学数学学院 

题目：Bifurcations of a discrete prey-predator model with Holling type II functional response

摘要：We apply center manifold reduction and the method of normal forms to completely discuss bifurcations of a discrete prey-predator model. We give bifurcation curves analytically for transcritical bifurcation, flip bifurcation， Neimark-Sacker bifurcation and strong resonance separately, showing bifurcation phenomena not indicated in the previous work for the system.

主办单位：中国科学技术大学数学科学学院

本活动由“中国科学技术大学研究生教育创新计划”等资助 

欢迎大家参加！