BMCC Math Department Colloquium

Fall 2019

Organizers: David Allen, Aradhana Kumari, Margaret H. Dean, and Marcos Zyman.

Unless otherwise noted, the colloquium meets at 2:30 PM on certain Wednesdays in FH 604 . Cookies are offered during every talk. All talks should be accessible to a general mathematical audience. Everyone is welcome. This page is constantly updated as information on speakers becomes available.

10/23: Mikael Vejdemo-Johansson (College of Staten Island, CUNY)

Topological Data Analysis - applying homology in medicine, robotics, sensor networks, and graphics


11/6: Oleg Muzician (BMCC, CUNY)

Dynamics of regularly ramified rational maps


12/4: James Mathew (Memorial Sloan Kettering Cancer Center)

Wasserstein and Fisher-Rao via de Rham and Poincaré duality, with applications to medical data analysis

I will explain the homogeneous space point of view on the optimal mass transport problem and the Wasserstein and Fisher-Rao metrics on the space of probability densities. The proof of the optimality condition amounts to Poincaré duality. A gauge-theoretic version is also explored, with the curvature form obstructing a straightforward generalization of the optimality proof. After discussing computational issues, applications to medical image analysis and gene regulatory networks will be given.

Past talks:
Fall 2016
Spring 2015
Prior to 2015
Contact: mzyman (at) bmcc (dot) cuny (dot) edu