New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023

DOI10.4171/owr/2023/15zbMath1525.00012MaRDI QIDQ6076085

No author found.

Publication date: 23 October 2023

Published in: Oberwolfach Reports (Search for Journal in Brave)

Proceedings of conferences of miscellaneous specific interest (00B25) Convex functions and convex programs in convex geometry (52A41) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Collections of abstracts of lectures (00B05) Combinatorial aspects of matroids and geometric lattices (05B35) Operator algebra methods applied to problems in quantum theory (81R15) Approximation algorithms (68W25) Real algebra (13J30) Real algebraic and real-analytic geometry (14Pxx)

Cites Work

An analytic Grothendieck Riemann Roch theorem
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets
On the degree and half-degree principle for symmetric polynomials
Spectral bounds for the independence ratio and the chromatic number of an operator
Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture
Distance graph on \(\mathbb Z^n\) with \(\ell_{1}\) norm
Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups
Products of polynomials in many variables
Derived subdivisions make every PL sphere polytopal
Complete description of determinantal representations of smooth irreducible curves
Computing \(D\)-convex hulls in the plane
Characterization of Lee-Yang polynomials
Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables
Hyperbolic polynomials and Vandermonde mappings
Multi-dimensional generalizations of the Chebyshev polynomials. I
A class of orthogonal polynomials in \(k\) variables
Unshellable triangulations of spheres
Fiber polytopes
Injectivity and operator spaces
Extensions of \(C^*\)-algebras and \(K\)-homology
Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
Variation of cost functions in integer programming
On functional separately convex hulls
Morse theory for cell complexes
The Oka-Grauert principle without induction over the base dimension
On the positivity of symmetric polynomial functions. I: General results
Semidefinite programming relaxations for semialgebraic problems
Completeness and reduction in algebraic complexity theory
Complete Nevanlinna-Pick kernels
Decompositions of simplicial balls and spheres with knots consisting of few edges
The Dirac operator of a commuting \(d\)-tuple.
On the local approach to Sidorenko's conjecture
log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
Motivic cohomology with \(\mathbb Z/2\)-coefficients
Combinatorics and commutative algebra.
The matricial relaxation of a linear matrix inequality
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations
On tameness of zonoids
When is a Specht ideal Cohen-Macaulay?
Lefschetz section theorems for tropical hypersurfaces
Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets
Gram spectrahedra of ternary quartics
Spectral sequences of a Morse shelling
Extreme points of Gram spectrahedra of binary forms
Density estimates of 1-avoiding sets via higher order correlations
Describing amoebas
Non-bipartite \(k\)-common graphs
Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms
Fourier quasicrystals with unit masses
On the intersection of a sparse curve and a low-degree curve: a polynomial version of the lost theorem
On the density of sets avoiding parallelohedron distance 1
The density of sets avoiding distance 1 in Euclidean space
Geometric Arveson-Douglas conjecture
A correlation inequality for bipartite graphs
The quasiconvex hull for the five-gradient problem
Pólya-Schur master theorems for circular domains and their boundaries
Quartic curves and their bitangents
Essentially normal Hilbert modules and \(K\)-homology
Matrix sum-of-squares relaxations for robust semi-definite programs
Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
A new inequality for the von Neumann entropy
Rank-one convex hulls in \(\mathbb R^{2\times 2}\)
Symmetric non-negative forms and sums of squares
Global Optimization with Polynomials and the Problem of Moments
Can one hear the shape of a graph?
An invitation to quantum incompatibility
Inequalities Between Sums of Powers
Graph minor theory
Reflection positivity, rank connectivity, and homomorphism of graphs
The Mathematical Coloring Book
Optimal Lattices for Sampling
Level Sets and Extrema of Random Processes and Fields
Extensions of Orderings on Fields of Quotients of Rings of Real Analytic Functions
Moments of random variables and the equivariant Morse lemma
Zum Homotopietyp Steinscher Räume.
Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
Logarithmic structures of Fontaine-Illusie. II
A Generalization of Von Neumann's Inequality to the Complex Ball
On the geometric properties of Vandermonde's mapping and on the problem of moments
Lectures on Polytopes
Studying Nonlinear pde by Geometry in Matrix Space
The chromatic number of the plane is at least 5
Joint measurability of quantum effects and the matrix diamond
Extreme positive ternary sextics
Gram spectrahedra
Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables
Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
The Artin-Lang property for normal real analytic surfaces
Algebraic boundaries of Hilbert’s SOS cones
The Moment-SOS Hierarchy
A note on the reducedness and Gröbner bases of Specht ideals
On the density of sets of the Euclidean plane avoiding distance 1
The Geometry of Discotopes
On the Isotypic Decomposition of Cohomology Modules of Symmetric Semi-algebraic Sets: Polynomial Bounds on Multiplicities
The dimension of an amoeba
Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture
Compatibility of Quantum Measurements and Inclusion Constants for the Matrix Jewel
The real tau‐conjecture is true on average
Stable polynomials and crystalline measures
Sums of Squares: A Real Projective Story
Shellability is NP-complete
Stein Manifolds and Holomorphic Mappings
Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization
Undecidability of linear inequalities in graph homomorphism densities
Stable polynomial division and essential normality of graded Hilbert modules
Inverse spectral problem for quantum graphs
Shellable Decompositions of Cells and Spheres.
A tensor norm approach to quantum compatibility
Magic squares: Latin, semiclassical, and quantum
Measures with locally finite support and spectrum
Positive trigonometric polynomials and signal processing applications
On directional convexity
Recognition of collapsible complexes is NP-complete
3XOR games with perfect commuting operator strategies have perfect tensor product strategies and are decidable in polynomial time
Annihilating entanglement between cones
Noncommutative nullstellensätze and perfect games
Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item