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Symmetric polynomials and Schubert calculus on Grassmannians
发布时间: 2018-10-25     12:21   【返回上一页】 发布人:李平


 北京师范大学数学科学学院

 

几何短期课程

 

 

报告题目:Symmetric polynomials and Schubert calculus on Grassmannians

 

报告人:李平教授(同济大学"优青")

 

时间地点: 

(1) 1030日上午9:00-11:30,   后主楼1220

(2) 1031日上午9:00-11:30,   后主楼1220

(3) 111日上午10:10-12:40,   后主楼1223

(4) 111日下午3:20-5:50,      后主楼1223

(5) 112日上午9:00-11:30,    后主楼1220

 

邀请人: 葛建全、彦文娇

 

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.