Okounkov Bodies and Applications

  • Megumi Harada

    McMaster University, Hamilton, Canada
  • Kiumars Kaveh

    University of Pittsburgh, USA
  • Askold Khovanskii

    University of Toronto, Toronto, Canada
Okounkov Bodies and Applications cover
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The theory of Newton–Okounkov bodies, also called Okounkov bodies, is a relatively new connection between algebraic geometry and convex geometry. It generalizes the well-known and extremely rich correspondence between geometry of toric varieties and combinatorics of convex integral polytopes. Following a successful MFO Mini-workshop on this topic in August 2011, the MFO Half-Workshop 1422b, “Okounkov bodies and applications”, held in May 2014, explored the development of this area in recent years, with particular attention to applications and relationships to other areas such as number theory and tropical geometry.

Cite this article

Megumi Harada, Kiumars Kaveh, Askold Khovanskii, Okounkov Bodies and Applications. Oberwolfach Rep. 11 (2014), no. 2, pp. 1459–1513

DOI 10.4171/OWR/2014/27