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The Tits alternative for analytic 4-manifolds of nonpositive sectional curvature

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Dr. Xiangdong Xie, Washington Univ. in StL

What
  • Topology Seminar
When Thu, Nov 21, 2002
from 01:10 PM to 02:00 PM
Where RH 211
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Abstract: We study subgroups of fundamental groups of real analytic closed 4-manifolds with nonpositive sectional curvature. In particular, we are interested in the following question: if a subgroup of the fundamental group is not virtually free abelian, does it contain a free group of rank two ? The proof uses the theory of general metric spaces of nonpositive curvature.

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