Tropical geometry and applications

Job Candidate Talk
Thursday, January 28, 2010 - 4:00pm for 1 hour (actually 50 minutes)
Skiles 269
Josephine Yu – Georgia Tech
Matt Baker
Tropical geometry can be thought of as geometry over the tropical semiring, which is the set of real numbers together with the operations max and +. Just as ordinary linear and polynomial algebra give rise to convex geometry and algebraic geometry, tropical linear and polynomial algebra give rise to tropical convex geometry and tropical algebraic geometry. I will introduce the basic objects and problems in tropical geometry and discuss some relations with, and applications to, polyhedral geometry, computational algebra, and algebraic geometry.