学术报告

题目： Some conjectures on the weighted Coxeter groups with complete graphs

报告人：时俭益教授

时间：2015年6月9日（周二）14:30-15:30

地点：数学系（致远楼）107

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摘要：Lusztig proposed 15 conjectures for any weighted Coxeter groups. In the present talk, we consider the weighted Coxeter groups $(W,S,L)$ with complete graphs. We first propose some conjectures for left cells, two-sided cells,distinguished elements and the function $/bold{a}$ /, of $(W,S,L)$.Then we verify our conjectures in the special case where $(W,S,L)$ is the weighted universal Coxeter group, furthermore, we verify the 15 conjectures of Lusztig for this group.