报告题目：Symmetric polynomials and Schubert calculus on Grassmannians
(1) 10月30日上午9:00-11:30, 后主楼1220
(2) 10月31日上午9:00-11:30, 后主楼1220
(3) 11月1日上午10:10-12:40, 后主楼1223
(4) 11月1日下午3:20-5:50, 后主楼1223
(5) 11月2日上午9:00-11:30, 后主楼1220
报告摘要：The aim of this minicourse is to establish the relations between symmetric polynomials and the cohomology ring of complex Grassmannians. I will fisrt give a detailed introduction to basic theory of symmetic polynomials, with emphasis on Schur symmetric polynomials. Then I will give a detailed exposition on the cohomology ring of the complex Grassmannians via Schubert calculus, and to see how the theory of Schur polynomials yield the ring structure of complex Grassmannians. If time permits, some related open problems on the cohomolgy ring of Grassmannians are explained. The course will start from the very beginning.