This one-day workshop at École Polytechnique aims to present new aspects of the theory of Okounkov bodies, and to generate further discussion among the participants on these thematics.

The day will consist of five talks, each of 40 minutes, a problem session, and the remaining time will be devoted to informal discussions.

Programme 
 

9h - 9h40 Mingchen Xia, IMJ-PRG

Partial Okounkov bodies and toric geometry

9h45 - 10h25 Omid Amini, Ecole Polytechnique

Higher rank non-Archimedean skeleta and variations of Newton-Okounkov bodies

10h25 – 11h30 Coffee break - problem session

11h35 – 12h15 Siarhei Finski, Ecole Polytechnique
 

On Harder-Narasimhan slopes of direct images

14h – 14h40 Lucie Devey, University of Edinburgh

Newton-Okounkov bodies for curve classes

14h50 – 15h30 Robert Wilms, Université Caen-Normandie

A new construction of arithmetic Okounkov bodies

15h30 – 18h Discussions