Some questions related to the reverse Minkowski theorem

DOI10.4171/icm2022/134OpenAlexW4389774913MaRDI QIDQ6198650

No author found.

Publication date: 20 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/icm2022/134

zbMATH Keywords

Epstein zeta functionstable latticesgeometry of latticesreverse Minkowski

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable lattices and the diagonal group
• The complexity of the covering radius problem
• On convex perturbations with a bounded isotropic constant
• A note on the distribution of the distance from a lattice
• Reduction theory using semistability
• Gaussian processes and mixed volumes
• Covering minima and lattice-point-free convex bodies
• Projections onto Hilbertian subspaces of Banach spaces
• Holomorphic semi-groups and the geometry of Banach spaces
• On the cohomology groups of moduli spaces of vector bundles on curves
• Eine Bemerkung zur Reduktionstheorie quadratischer Formen
• The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
• Inhomogeneous extreme forms
• An almost constant lower bound of the isoperimetric coefficient in the KLS conjecture
• A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• A proof of the Kepler conjecture
• Minima of Epstein's zeta function and heights of flat tori
• Ellipsoids defined by Banach ideal norms
• A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space
• On lattice quantization noise
• A reverse Minkowski theorem
• M-Estimates for Isotropic Convex Bodies and Their L q -Centroid Bodies
• On the Mean-Width of Isotropic Convex Bodies and their Associated Lp-Centroid Bodies
• Worst‐Case to Average‐Case Reductions Based on Gaussian Measures
• Verallgemeinerung einer Mordellschen Beweismethode in der Geometrie der Zahlen, Zweite Mitteilung

This page was built for publication: Some questions related to the reverse Minkowski theorem