Symmetry groupoids and weighted signatures of geometric objects

Algebra Seminar
Monday, November 14, 2016 - 3:05pm for 1 hour (actually 50 minutes)
Skiles 006
Peter Olver – University of Minnesota –
Anton Leykin
In this talk, I will refine the concept of the symmetry group of a geometric object through its symmetry groupoid, which incorporates both global and local symmetries in a common framework. The symmetry groupoid is related to the weighted differential invariant signature of a submanifold, that is introduced to capture its fine grain equivalence and symmetry properties. The groupoid/signature approach will be connected to recent developments in signature-based recognition and symmetry detection of objects in digital images, including jigsaw puzzle assembly.