We define a generalization of the totally nonnegative Grassmannian and determine its topology in the case of real projective space. We find the spaces to be PL manifolds with boundary which are homotopy equivalent to another real projective space of smaller dimension. In certain cases we have Cohen-Macaulay triangulations. Time permitting we will discuss joint work with N. Bergeron, Dermenjian, and Sulzgruber giving an h-vector interpretation in terms of descents in signed permutations.
- This event has passed.
03 April Friday
John Machacek (York): Sign variation in real projective space
03 April 2020, 11:00 - 03 April 2020, 12:00
En ligne/online, Canada
Date: 3 April 2020
Time: 11 h 00 min - 12 h 00 min
Venue Name: En ligne/online