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 ).