05/06/2016 - 13:30

05/06/2016 - 14:30

Speaker:

Justin Solomon, Princeton/MIT

Location:

McGill, Burnside Hall, 805 Sherbrooke Str West, Room 920

Abstract:

This talk will be part-tutorial and part-research presentation. I will begin by summarizing some applications of spectral geometry, in particular the geometry of the Laplacian operator, appearing in the discrete geometry processing, computer graphics, and machine learning literatures. Using these applications as motivation, I will construct discretizations of the Laplacian suitable for calculations on triangulated surfaces, volumes bounded by a discretized surface, and point clouds. The talk will conclude with some of my own research in spectral geometry for constructing and analyzing maps between surfaces through the "functional maps" framework.