Seminar talk, 9 December 2015

Speaker: Valentin Lychagin

Title: Invariants of projective $PS{L}_2$-actions and their application to recognition of fingerprints

Abstract:
We study the field of rational differential invariants of the left $PS{L}_2(\mathbb{ℝ})$-action on the homogeneous space $\mathrm{D}\mathrm{i}\mathrm{f}\mathrm{f}(S^1)/PS{L}_2(\mathbb{ℝ})$ and use them to give an alternative description of the shape space and fingerprints, introduced by Mumford and Sharon.