January 17, Wednesday, 15:30, room 211

Note the change of the speaker and topic!

Valentina Kiritchenko

Introduction to Newton-Okounkov convex bodies

We discuss the main ingredients of the construction of Newton-Okounkov convex bodies for graded semigroups and algebras. As application we consider a generalization of Kouchnirenko’s theorem to the non-toric setting. We also explain the relation between the theory of Newton-Okounkov convex bodies and fundamental algebro geometric concepts such as the degree of a projective variety, algebra of global sections of a line bundles and Hilbert function  (all necessary definitions will be given in the talk).

The talk is intended as an overview of topics from the first block. The participants who are interested in taking a topic from this block are especially encouraged to attend.