Site Search
Main Wiki
Tropical Seminar: "Tropicalised Reparameterisations"
Fri, September 18, 2009 1:00PM - 2:00PM
Time:1:00PM - 2:00PM
Location:Baker Board Room #245
Speakers:Jan Draisma, Dr. Jan Draisma
Abstract:Given a classical polynomial map f:A^m->A^n between affine spaces parameterising a variety X=im(f), it is natural to wonder whether there is a coordinate change a:A^p->A^n such that the the composition f o a tropicalises naively (that is, by replacing + by min and x by +) to a tropical polynomial map whose image is all of trop(X). This has the appealing interpretation that trop(X) can be "folded" from a piece of p-dimensional paper. I will give some (known) examples where this is the case, and prove the existence of coordinate changes that are good locally.