Abstract for the talk on 09.04.2020 (17:00 h)Nonlinear Algebra Seminar Online (NASO)
Jeffrey Giansiracusa (Swansea University)
Tropical differential equations
See the video of this talk.
Grigoriev introduced a theory of tropicalizing differential equations and their formal power series solutions over a trivially valued field. I will describe some generalizations of this theory and what kinds of information they are capable of detecting. In particular, I will explain how to extend to non-trivially valued coefficients and broader classes of series solutions, as well as a variation adapted to studying positive real solutions.