Tropical Geometry at MSRI (Forschungssemester)

• Antragstellerin: Professorin Dr. Eva Maria Feichtner
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2009 bis 2010
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 149628587

Tropical Geometry is a rapidly developing field on the borderlines of geometry, algebra and combinatorics. Its core undertaking is to replace algebraic-geometric objects by polyhedral objects, thereby making a completely new set of techniques available to classical problems. The semester-long research program on Tropical Geometry in the fall of 2009 at the Mathematical Sciences Research Institute (MSRI) in Berkeley, USA, is the first of its kind. I am one of the four organizers of this program, and I do envision a unique scientific setting for the advancement of Tropical Geometry during this time. Personally, I propose to conduct research on a tropical analogue of the theory of hyperplane arrangements, on the geometric combinatorics of tropical varieties and on tropical compactifications, among other projects. With this proposal I apply for replacement funds to enable me to fully part-take in the research program at MSRI.

• DFG-Verfahren: Sachbeihilfen