应数学系马坚伟教授的邀请,菲尔兹奖得主、瑞士日内瓦大学Stanislav Smirnov教授访问公司并作报告,欢迎感兴趣的师生参加! 报告题目:The Ising Model of a Ferromagnet from 1920 to the Present Day 报告时间:2015年7月14日,下午3:00点 报告地点:002全讯白菜网科学园 2H楼201会议室
简介: Stanislav Smirnov教授,2010年菲尔兹奖得主(相当于数学的诺贝尔奖,且4年才评一次)http://en.wikipedia.org/wiki/Stanislav_Smirnov 现任瑞士日内瓦大学教授。2004年获得欧洲数学学会奖(European Mathematical Society Prize),2001年获得洛勒戴维逊数学大奖。本科就读于圣彼得堡大学,指导老师Victor Havin,之后留学美国。1986年,1987年国际数学奥林匹克竞赛金牌,满分奖(代表苏联国家队参赛);1996年,获得加州理工学院博士学位,博士导师Nikolai Makarov。曾在美国耶鲁大学、德国波恩马克斯•普朗克数学研究所、美国普林斯顿高等研究院从事研究。1998年,前往斯德哥尔摩瑞典皇家理工学院从事研究。2003年,加入瑞士日内瓦大学。
报告摘要:The Ising model is an archetypical model of the orderdisorder phase transition: though simple to formulate, it exhibits a complex behavior, much like the real-world phenomena in solid-state physics, ferromagnetism, chemistry, biology, computer science. In 1920 the physicist Wilhelm Lenz proposed to model ferromagnetic materials by a lattice of plus-minus spins with interacting neighbors. His student Ernst Ising solved the model in dimension one four years later. The one-dimensional behavior turned out to be trivial, with no phase transition when the interaction strength changes, and for a decade people searched for other possible models. However, a ferromagnetic phase transition was established by Rudolf Peierls in higher dimensions, and in 1944 Lars Onsager famously calculated the free energy for the Ising model in two dimensions. Since then the Ising model became widely studied, as it exhibits complicated phase transition behavior, yet allows a very detailed analysis in dimension two. We will give a historical introduction to the model, and then describe some recent results. |