Interactions with Lattice Polytopes

Magdeburg, Germany, September 2017
1. Auflage 2022
ISBN: 978-3-030-98329-1
Verlag: Springer International Publishing

Buch, Englisch, Band 386, 364 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Springer Proceedings in Mathematics & Statistics

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.

Autoren/Hrsg.

Nill, Benjamin

Kasprzyk, Alexander M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines