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【学术报告】Homological dimension of discrete subgroups in higher rank Lie groups

时间:2025-05-16

报告人:汪湜(上海科技大学)

报告时间:2025年5月26日(星期一)10:30-11:30

报告地点:东三十二楼216室

报告摘要:Given a discrete subgroup H in a higher rank non-compact simple real Lie group G. We show that either H is a lattice in G, or the homological dimension of H is bounded above by (n-1/8r), where n is the dimension of the symmetric space G/K and r is the real rank of G. The proof uses a geometric gradient flow motivated by the Patterson-Sullivan theory and the barycenter map of Besson-Courtois-Gallot. This is joint work with Chris Connell and Ben McReynolds.

邀请人:张庆


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