Interactions with Lattice Polytopes

Abstract

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.

Citation

(2017, September). Interactions with Lattice Polytopes. Presented at Interactions with Lattice Polytopes, Magdeburg, Germany

• Presentation Conference Type: Edited Proceedings
• Conference Name: Interactions with Lattice Polytopes
• Start Date: Sep 14, 2017
• End Date: Sep 16, 2017
• Acceptance Date: Jan 1, 2022
• Online Publication Date: Jun 1, 2022
• Publication Date: Jun 1, 2022
• Deposit Date: Dec 13, 2022
• Publisher: Springer
• Series Title: Springer Proceedings in Mathematics & Statistics
• Series Number: 386
• Series ISSN: 2194-1009
• Book Title: Interactions with Lattice Polytopes
• ISBN: 978-3-030-98326-0
• DOI: https://doi.org/10.1007/978-3-030-98327-7
• Public URL: https://nottingham-repository.worktribe.com/output/9170885
• Publisher URL: https://link.springer.com/book/10.1007/978-3-030-98327-7