Colloque des sciences mathématiques du Québec

15 mars 2019 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Persistent homology as an invariant, rather than as an approximation

Colloque par Shmuel Weinberger (University of Chicago)

Persistent homology is a very simple idea that was initially introduced as a way of understanding the underlying structure of an object from, perhaps noisy, samples of the object, and has been used as a tool in biology, material sciences, mapping and elsewhere. I will try to explain some of this, but perhaps also some more mathematical applications within geometric group theory. Then I'd like to pivot and study the part that traditionally has been thrown away, and show that this piece is relevant to approximation theory (a la Chebyshev), closed geodesics (a la Gromov), and to problems of quantitative topology (joint work with Ferry, Chambers, Dotter, and Manin).


McGill University, Burnside Hall , 805, rue Sherbrooke O., salle/Room1104