Vortrag im Schwerpunkt Reelle Geometrie und Algebra
Donnerstag, 19. November 2009, um 17:00 Uhr in F426 (Schwerpunktkolloquium) Cynthia Vinzant (Berkeley) Real radical initial ideals
Initial ideals are degenerations of polynomial ideals that often retain important information. We will discuss the consequences of an initial ideal being real radical. This gives us sufficient conditions for the stability of certain quadratic modules. There are also strong implications for the geometry of the corresponding real variety or semialgebraic set. Time permitting, we will also discuss connections to real tropical geometry.