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Geometry & Topology seminarExport this event to calendar

Wednesday, December 4, 2013 — 1:30 PM EST

Diarmuid Crowley, Max Planck Institute for Mathematics

“A new invariant of G2 structures”

I will report on recent where we define an invariant of diffeomorphisms and homotopies of a G2 structure on a closed 7-manifold M. The ν-invariant takes values in Z/48 and is defined via the Euler characteristic and signature of a Spin(7)-coboundary of the G2 structure.

An important motivation for defining the ν-invariant is to investigate the connectivity of moduli space of G2-metrics on M in the case where such metrics exist.

I will discuss examples, calculations for the invariant to date and its relationship to the mapping class groups of spin 7-manifolds. This work is joint with Johannes Nordstr ̈om.

Please note special time

Location 
MC - Mathematics & Computer Building
5136B
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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