Many applications in science and engineering depend upon parameters such as temperature, pressure, and coupling rates. This talk will explore how one can use techniques in numerical algebraic geometry to analyze parameter spaces. Two topics of interest related to nonlinear dynamical systems are identifiability of the inverse problem of computing parameters given data and decomposing the parameter space based on the number of stable steady-state solutions. This decomposition would allow one to quantify parameters where the model has no stable steady-state, has a unique stable steady-state, and has multiple stable steady-states which is useful in many applications in science and engineering.
Postponed to a later date.