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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Partial Okounkov bodies and toric geometry

## Partial Okounkov bodies and toric geometryAdd to your list(s) Download to your calendar using vCal - Mingchen Xia (Institut de Mathématiques de Jussieu)
- Wednesday 15 May 2024, 11:45-12:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW04 - K-stability and moment maps Given a big line bundle L on a projective manifold, Lazarsfeld–Mustată and Kaveh–Khovanskii introduced method of constructing convex bodies associated with L. These convex bodies are known as Okounkov bodies. When L is endowed with a singular positive Hermitian metric h, I will explain how to construct smaller convex bodies from the data (L,h). These convex bodies play important roles in the study of the singularities of h. As an application, I will explain a non-trivial application in toric geometry due to Yi Yao. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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