科学研究
报告题目:

An introduction to algebraic combinatorics

报告人:

高奕博 助理教授(北京大学)

报告时间:

报告地点:

2021欧洲杯买球平台官网东北楼四楼报告厅(404)

报告摘要:

Algebraic combinatorics is the research area that connects algebra to combinatorics. In this talk, we will provide a very gentle introduction to this area. In the first half, we give an example of studying algebraic structures using combinatorics. Specifically, Schubert polynomials, which are the polynomial representatives of the Schubert classes that form a basis of the cohomology ring of the flag variety, enjoys rich combinatorial properties. In the second half of the talk, we give an example of using algebra to solve combinatorial questions. Namely, we establish the Sperner property of the weak Bruhat order via sl2 representations.