Seminar talk, 9 December 2015

From Geometry of Differential Equations
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Speaker: Valentin Lychagin

Title: Invariants of projective [math]\displaystyle{ PSL_2 }[/math]-actions and their application to recognition of fingerprints

We study the field of rational differential invariants of the left [math]\displaystyle{ PSL_2(\mathbb{R}) }[/math]-action on the homogeneous space [math]\displaystyle{ \mathrm{Diff}(S^1)/PSL_2(\mathbb{R}) }[/math] and use them to give an alternative description of the shape space and fingerprints, introduced by Mumford and Sharon.