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Disputation Lena Walter

04.05.2021 | 09:00
Thema der Dissertation:
Toric Newton-Okounkov Functions, the Kingman Coalescent, and Fully Mixed Cells
Thema der Disputation:
Polyhedral Adjunction Theory
Abstract: Classical adjunction theory is an area of algebraic geometry, which has played a
fundamental role in the classification of projective varieties. Inspired by this, the correspondence
between polarized toric varieties and lattice polytopes provides a natural ground for an adjunction
theory of lattice polytopes. Given a rational polytope, we will introduce the main object of interest, its
adjoint polytope and study two associated geometric invariants, namely its Q-codegree and its nef
value. This leads to a decomposition theorem for polytopes with high Q-codegree, which is closely
related to the Cayley-conjecture. We will illustrate this result and give an idea of connections with
other areas.

Zeit & Ort

04.05.2021 | 09:00