科学研究
学术报告
Combinatorics of crystal bases and X=M conjecture
发布时间:2014-09-15浏览次数:

学术报告

日本大阪市立大学数学系尾角正人 (Okado Masato) 教授将在必赢76net线路数学系作关于《晶体基的组合学与X=M猜想》的系列讲座, 每次二小时, 热烈欢迎各位参加!

具体日程安排如下:

9月15,16,22,23日 (星期一,星期二) 下午14:00-16:00

9月18,19日(星期四,星期五) 上午9:30-11:30

地点: 数学系致远楼107教室

题目: Combinatorics of crystal bases and X=M conjecture

摘要: Starting from two expressions of the famous Kostka polynomial, I explain how to generalize this equality in full generality for so called type A with the aid of the crystal basis theory and to prove it in a combinatorial manner. I then extend the equality, though it is still a conjecture (X=M conjecture), to all affine root systems. Finally, I give a sketch of proof for settled cases.