[Binghamton Geometry/Topology Seminar] Geometry & Topology Seminar

[somnath at math.binghamton.edu]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, Nov 15, 2012

*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson Reading
Room.

*Speaker: ** *Jean-Francois Lafont (Ohio State University)
*Title: *Comparing semi-norms on third homology
 *
Abstract:* It follows from work of Crowley-Loeh (d>3) and Barge-Ghys (d=2)
that in all degrees distinct from d=3, the l^1-seminorm and the manifold
semi-norm coincide on homology of degree d. We show that when d=3, the two
semi-norms are bi-Lipschitz to each other, with an explicitly computable
constant. This was joint work with Christophe Pittet (Univ. Marseille).