The AROMATH seminar will happen every second Wednesday at 11:00 (FR), except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and online at https://cutt.ly/aromath.
Click on a talk to see the abstract.
Matias Bender – Toric Eigenvalue Methods for Solving Sparse Polynomial Systems
9 December 2020 –
In this talk, we introduce a symbolic-numerical algorithm to solve (nearly) degenerate sparse polynomial systems. For that, we consider the problem of computing homogeneous coordinates of points in a zero-dimensional subscheme of a compact toric variety X. By working over the Cox ring of X, our algorithm can handle input systems whose solutions have multiplicities. We investigate the regularity of these systems to provide complexity bounds for our approach, as well as sharper bounds for weighted homogeneous, multihomogeneous and unmixed sparse systems, among others. The talk is based on joint work with Simon Telen.