[Binghamton Geometry/Topology Seminar] (no subject)

[Ross Geoghegan]

                   BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR


   Date: Thursday October 19, 2006

   Time:  2.50 pm

   Place: Library North 2205 followed by coffee/tea in the Anderson
          Reading Room.

Speaker: Kai-Uwe Bux (U. of Virginia) 

Title: Connectivity of Spheres and Horospheres in Euclidean Buildings

Abstract: 
Recall that a CW complex of dimension m is called spherical if it is
m-1 connected. Let X be a Euclidean building. The Solomon-Tits theorem
states that spherical buildings are spherical. Since small metric spheres
in X are spherical buildings, it follows that small spheres in X are
spherical. We generalize this result to spheres of arbitrary radius. For
irreducible X, we argue that horospheres are also spherical.
(Joint work with Kevin Wortman)


NOTE:  The seminar has a webpage where the semester's program is listed:

http://math.binghamton.edu/MATH/dept/topsem/index.html

It can also be linked from the Department's Home Page.
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