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图与组合系列讲座之十八(Paul Terwilliger)

  发布日期:2017-11-20  浏览量:1693


Paul Terwilliger教授学术报告

报告题目:  Totally bipartite tridiagonal pairs

:  Paul Terwilliger(威斯康星大学, 教授)

报告时间:  20171122(周三)下午1500

报告地点:  磬苑校区数学科学学院H306

报告摘要This talk is about a linear algebraic object called a tridiagonal pair. The concept originated in Algebraic Graph Theory, on the subject of Q-polynomial distance-regular graphs. We will give a broad introduction to tridiagonal pairs, working with a special case (called totally bipartite) in order to simplify the discussion. We will cover the following topics:

Tridiagonal pair background

TB tridiagonal pairs and systems

The standard basis and matrix representations

The classification of TB tridiagonal systems

The Askey-Wilson relations

Some automorphisms and antiautomorphisms

The Z3-symmetric Askey-Wilson relations

An action of the modular group PSL2(Z)

This talk is meant for a general mathematical audience. This is joint work with Kazumasa Nomura.

专家简介:

Paul Terwilliger, an eminent mathematician, was born in 1955 in Michigan, USA. He has been a professor of University of Wisconsin at Madison since 1994. In the research area of algebraic combinatorics, he has published more than 100 papers with total citations  more than 2200. He is the founder of the theory of Terwilliger algebras, which was started in his monumental papers `The subconstituent algebra of an association scheme I, II, III'. Since then, he is pushing back the frontiers, developing deep new ideas and finding many applications not only in combinatorics, but also in other areas of mathematics such as statistical mechanics.

欢迎各位老师、同学届时前往!

                                                                                                                                          数学科学学院

                                           20171118

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