TGTS Tetrahedral Geometry/Topology Seminar

Sponsored by Elizabethtown College, Franklin and Marshall College, Lebanon Valley College, and Millersville University The Tetrahedral Geometry-Topology Seminar meets monthly for talks

Speakers 2014-2015

12 September   David Lyons, Lebanon Valley College
 3 October     David Johnson, Lehigh University
 7 November    Josh Sabloff, Haverford College
 5 December    Vincent Coll, Lehigh University
 6 February    Lisa Traynor, Bryn Mawr College
 6 March       Zhigang Han, Millersville University
10 April       Barbara Nimershiem, Franklin and Marshall College
TGTS meets at 4:30 p.m. on the first Friday of each month. The public is cordially invited to attend.

Next Talk

    Date: 3 October 2014, 4:30pm
Location: Hempfield High School, Room 213
 Speaker: David Johnson, Lehigh University
   Title: Sectional Curvatures

Abstract.  There have been definitions of “higher-order sectional
curvature” for years, but it is curious how those definitions come
about, and how they relate to the truly geometric measurement of the
failure of the parallel postulate in non-Euclidean geometry. They were
also always even-dimensional, since they were based on the
Gauss-Bonnet-Chern theorem. We now have constructed a unified notion of
higher-order sectional curvature, for all dimensions, and show how the
geometric failure of the parallel postulate translates into computable
curvature notions. In the final analysis, however, it is true that all
such curvatures can be defined in terms of ordinary sectional curvature,
so that the classical notion still determines all of these
higher-dimensional versions.

Past Seminars

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