Speaker
Omid Amini
(CMLS, École Polytechnique)
Description
We develop a polyhedral geometry framework for dealing with higher rank valuations on function fields of algebraic varieties. As application, we explain the wall-crossing behavior of Newton-Okounkov bodies. Morever, using the set-up, we define combinatorial valuations on tropical varieties, and construct combinatorial Newton-Okounkov bodies. Based on joint work with Hernan Iriarte.