135 Works
Topological and Smooth Dynamics on Surfaces
Workshop Reports
Mini-Workshop: Almost Complex Geometry
Workshop Reports
Discrete Geometry
Workshop Reports
Stochastic Processes under Constraints
Workshop Reports
Groups, Dynamics, and Approximation
Workshop Reports
Mini-Workshop: One-sided and Two-sided Stochastic Descriptions
Workshop Reports
Mathematical Methods in Quantum Molecular Dynamics
Workshop Reports
Partial Differential Equations
Workshop Reports
Computational Multiscale Methods
Workshop Reports
Geometric, Algebraic, and Topological Combinatorics
Workshop Reports
Toric Geometry
Workshop Reports
Calculus of Variations
Workshop Reports
Cohomology of Finite Groups: Interactions and Applications
Workshop Reports
Jahresbericht | Annual Report - 2017
MFO Annual Report, 2017
Demailly’s Notion of Algebraic Hyperbolicity: Geometricity, Boundedness, Moduli of Maps (Revised Edition)
Ariyan Javanpeykar & Ljudmila Kamenova
Demailly's conjecture, which is a consequence of the Green-Griffths-Lang conjecture on varieties of general type, states that an algebraically hyperbolic complex projective variety is Kobayashi hyperbolic. Our aim is to provide evidence for Demailly's conjecture by verifying several predictions it makes. We first define what an algebraically hyperbolic projective variety is, extending Demailly's definition to (not necessarily smooth) projective varieties over an arbitrary algebraically closed field of characteristic zero, and we prove that this property...
Splitting Necklaces, with Constraints
Dusko Jojic, Gaiane Panina & Rade Zivaljevic
We prove several versions of Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without increasing the number of cuts, one guarantees the existence of a fair splitting such that each thief is allocated (approximately) one and the same number of pieces of the necklace, provided the number of thieves $r=p^\nu$ is a prime power. (2) The "binary splitting theorem" claims that if...
Positive Line Bundles Over the Irreducible Quantum Flag Manifolds
Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla, Petr Somberg & Karen R. Strung
Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a positive vector bundle directly generalises to this setting, as does the Kodaira vanishing theorem. In this paper, by restricting to covariant Kähler structures of irreducible type (those having an irreducible space of holomorphic $1$-forms) we provide simple cohomological criteria for positivity, offering a means...
Modular Forms
Workshop Reports
Tomographic Inverse Problems: Theory and Applications
Workshop Reports
Singularities and Homological Aspects of Commutative Algebra
Workshop Reports
Moist Processes in the Atmosphere
Workshop Reports
Random matrix theory: Dyson Brownian motion
Gianluca Finocchio
The theory of random matrices was introduced by John Wishart (1898–1956) in 1928. The theory was then developed within the field of nuclear physics from 1955 by Eugene Paul Wigner (1902–1995) and later by Freeman John Dyson, who were both concerned with the statistical description of heavy atoms and their electromagnetic properties. In this snapshot, we show how mathematical properties can have unexpected links to physical phenomenena. In particular, we show that the eigenvalues of...