[Binghamton Geometry/Topology Seminar] Topology/Geometry Seminar this Thursday

[Tam Nguyen Phan]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

   Date: Thursday, October 15th, 2015

   Time:  2.50 pm

   Place: Whitney Hall, Room 100E,  followed by coffee/tea in the
      Hilton Reading Room. Note the new location of the math department (
http://www2. <http://www2.math.binghamton.edu/p/directions>
math.binghamton.edu <http://www2.math.binghamton.edu/p/directions>
/p/directions <http://www2.math.binghamton.edu/p/directions>).

   Speaker:  *Andrew Geng* (University of Chicago)

   Title:  *Classification and examples of 5-dimensional geometries*

    Abstract: Thurston's eight homogeneous geometries formed the building
blocks of 3-manifolds in the Geometrization Conjecture. Filipkiewicz
classified the 4-dimensional geometries in 1983, finding 18 and one
countably infinite family. I have recently classified the 5-dimensional
geometries. I will review what a geometry in the sense of Thurston is,
survey related ideas, and outline the classification in 5 dimensions.
Salient features, especially those first occurring in dimension 5, will be
illustrated using particular geometries from the list. The classification
touches a number of topics including foliations, fiber bundles,
representations of compact Lie groups, Lie algebra cohomology, Galois
theory in algebraic number fields, and conformal transformation groups. I
hope to give some indication of how all of these come into play.

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

http://www2.math.binghamton.edu/p/seminars/topsem
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