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科学研究
Moment-angle complexes and Halperin-Carlsson conjecture
发布时间:2013-05-17浏览次数:

报 告 人:吕志 教授(复旦大学)

报告题目: Moment-angle complexes and Halperin-Carlsson conjecture

报告时间:2013年5月21日(周二)下午15:30-16:30

报告地点:致远楼107室

摘要: we give an algebra--combinatorics formula of the Mobius transform for an abstract simplicial complex on in terms of the Betti numbers of the Stanley--Reisner face ring of . Furthermore, we employ a way of compressing to estimate the lower bound of the sum of those Betti numbers by using this formula. As an application, associating with the moment-angle complex (resp. real moment-angle complex ) of , we show that the Halperin--Carlsson conjecture holds for (resp. ) under the restriction of the natural -action on (resp. -action on ).