Abstract for the talk on 12.02.2020 (11:00 h)

Seminar on Nonlinear Algebra

Thomas Yahl (Texas A&M)
Solving decomposable sparse systems

Solutions to sparse polynomial systems can be viewed as fibres of a branched cover determined by the support of the equations. A system is decomposable if this branched cover factors as a composition of nontrivial branched covers on an open set. This leads to a method of solving sparse polynomial systems by completely factoring the branched cover and iteratively solving simpler polynomial systems as fibres of these factors.