Aug 04, 2017
Friday

02:30 PM  03:05 PM


Topology of positive zero sets of nvariate (n+4)nomials
Davina Boykin (Valparaiso University), Sabrina Enriquez (University of Southern California), Noemi Valdez (Harvard University)

 Location
 MSRI: Baker Board Room
 Video

 Abstract
Let f be a polynomial of degree d with exactly n+4 monomial terms in R[x_1,…,x_n]. We show that one can efficiently compute an explicit polyhedral complex with the same isotopy type as the positive zero set of f. In particular, the complexity of our construction is polynomial in u + log d with high probability. Along the way, we derive and implement an algorithm that, given an nvariate (n+4)nomial f, outputs a plot of the reduced Adiscriminant contour in R^3.
 Supplements



