KTH/SU Mathematics Colloquium
December 16, 2009
Sandra Di Rocco, KTH
Interaction between Convex and Algebraic Geometry
Toric geometry provides a useful bridge between Convex
Geometry and Algebraic Geometry. Convex bodies are associated to
complex toric varieties embedded in projective space. The benefit
coming from this interaction is mutual. Unexpected properties of
convex bodies have been shown thanks to the underlying toric geometry
as well as many algebraic invariants of projective toric varieties are
a reflection of convex properties of the associated polytope. Some
classical and more recent examples, showing how fruitful this
interplay can be, will be presented.