离散群的几何、分析语拓扑 节选

eface
      Discrete subgroups F of Lie groups G are foundational objects in modern
mathematics and occur naturally in different subjects. For example, integers form
a discrete subgroup Z of the Lie group R. They give rise to actions on homoge-
neons spaces associated with the Lie groups G. These actions of F can be used to
study the discrete groups F and are also interesting on their own. For example,
when G is a noncompact semisimple Lie group, there is an associated Rieman-
nian symmetric space X = G/K, and the quotient FX is a locally symmetric
space, which is special Riemannian manifolds and often occur as moduli spaces in
algebraic geometry and number theory.
      To understand better the structures and applications of discrete subgroups of
Lie groups and locally symmetric spaces, an instructional conference titled Geom-
etry~ Topology and Analysis of Locally Symmetric Spaces and Discrete Groups was
held from July 17 to August 4, 2006 at the Morningside Center of Mathematics in
Beijing. The conference consisted of lecture series and research talks by experts
around the world. This proceedings contains expanded lecture notes and related
papers of some of the talks on the conference. These papers cover many topics re-
lated to the themes of this conference, such as algebra, analysis, geometry, number
theory and topology. We would like to thank all the speakers for their stimulating
talks and especially for the authors of the papers included in this book for their
efforts in writing up their lecture notes. We hope that they will present a global
perspective on the beautiful subjects around discrete subgroups of Lie groups and
locally symmetric spaces.
      This three-week long conference was generously funded by the Morningside
Center of Mathematics, and also partially sponsored by the Higher Education
Press in China and the journal Pure and Applied Mathematics Quarterly.  We
would like to thank the staff members of the center, in particular Xiaoning Li,
and the secretaries of the journal, in particular Chen Fang, for their devoted help
before and during the conference. Without them, this conference could not run
smoothly.
                                                                  Managing Editor, Lizhen Ji
                                                                                      Kefeng Liu
                                                                                         Lo Yang
       &nb

自然科学 数学 几何与拓扑

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