bte365娱乐场

周五公众报告

报告题目：Polynomial invariants of finite groups of sparse matrices

报告人：Jia Huang? （University of Nebraska at Kearney ）

时间地点：6月15日下午4:30-5:30， 后主楼1124 

邀请人： 徐敏

报告摘要：The well-known Fundamental Theorem of Symmetric Polynomials as- serts that every polynomial in n variables invariant under all permutations of the variables can be written uniquely as a polynomial in the n elemen- tary symmetric polynomials. In 1911, L.E. Dickson proved a similar result for polynomials with finite field coefficients invariant under the action of a finite general linear group. Since then, Dickson’s Theorem has been generalized to various sub- groups of a general linear group. In this talk I will present a result not only encompassing all of these generalizations but also giving many new examples. In particular, it applies to certain groups of matrices defined by sparsity patterns.

周五学院公众报告主旨：讲解现代数学中的基本概念、重要结果及其数学思想的起源、方法的创新等，扩展我们的教师和研究生的视野、提高数学修养以及增强学院的学术氛围。邀请各方向的专家用通俗易懂的报告内容、自由互动的讲解方式展现现代数学中重要的基本概念和深刻原理，让听众可以领略到现代数学理论其实是来源于一些大学或研究生阶段就熟知的古典数学中的想法和结论。希望这些报告有助于高年级的本科生、研究生和教师更全面的认识现代数学、享受数学之美。欢迎大家踊跃参与！