Mini-Workshop: Alcoved Polytopes in Physics and Optimization

An alcoved polytope is a polytope whose facet normal are all in direction of type A roots. This fundamental class of polytopes has ample applications in for instance tropical geometry, statistics and algebra. The mini-workshop showcased various recent developments related to alcoved polytopes and their generalizations with a particular focus on their connections to physics and optimization.

Authors

Institutions

Publication Details

Journal
Oberwolfach Reports
Published
2025-08-29
DOI
https://doi.org/10.4171/owr/2025/12
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Mini-Workshop: Alcoved Polytopes in Physics and Optimization

Nick Early, Josephine Yu, Lukas Kühne, Leonid Monin
Oberwolfach Reports
Polynomial and algebraic computation
article

Mini-Workshop: Alcoved Polytopes in Physics and Optimization

Nick Early, Josephine Yu, Lukas Kühne, Leonid Monin
article en

Abstract

An alcoved polytope is a polytope whose facet normal are all in direction of type A roots. This fundamental class of polytopes has ample applications in for instance tropical geometry, statistics and algebra. The mini-workshop showcased various recent developments related to alcoved polytopes and their generalizations with a particular focus on their connections to physics and optimization.

Oberwolfach ReportsVol. 22(1)
Georgia Institute of Technology (US), Bielefeld University (DE), Max Planck Institute for Mathematics in the Sciences (DE), École Polytechnique Fédérale de Lausanne (CH)
Openalex Percentile: Top 76%
Polynomial and algebraic computation
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.