Differential geometry in the large. Abstracts from the workshop held July 2--7, 2023

DOI10.4171/owr/2023/29zbMATH Open1537.00017MaRDI QIDQ6544487

No author found.

Publication date: 27 May 2024

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

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Collections of abstracts of lectures (00B05)

Cites Work

A note on uniformization of Riemann surfaces by Ricci flow
Noncompact shrinking four solitons with nonnegative curvature
Einstein metrics, complex surfaces, and symplectic 4-manifolds
Area minimizing hypersurfaces with isolated singularities.
The mass of an asymptotically flat manifold
Calabi's conjecture and some new results in algebraic geometry
Homological stability for moduli spaces of high dimensional manifolds. I
Boundary value problems for Dirac-type equations
Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant
Openness of uniform K-stability in families of $Q$-Fano varieties
A variational approach to the Yau–Tian–Donaldson conjecture
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
On an Index Theorem of Chang, Weinberger and Yu
Boundary regularity and embedded solutions for the oriented Plateau problem
Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions
Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics
Compact four-dimensional Einstein manifolds
$d_p$-convergence and $\epsilon$-regularity theorems for entropy and scalar curvature lower bounds
On the topology and index of minimal surfaces. II
Convergence and Regularity of Manifolds with Scalar Curvature and Entropy Lower Bounds
Boundary Conditions for Scalar Curvature
Waist Inequality for 3-Manifolds with Positive Scalar Curvature
Positive scalar curvature on manifolds with boundary and their doubles
The parabolic $U(1)$-Higgs equations and codimension-two mean curvature flows
ADM mass and the capacity-volume deficit at infinity
Coordinates are messy -- not only in general relativity
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
Embedded self-similar shrinkers of genus 0
Uniqueness of self-similar shrinkers with asymptotically cylindrical ends
The singular set of mean curvature flow with generic singularities
Desingularisation of Einstein metrics. II
Smoothing out positively curved metric cones by Ricci expanders
3-manifolds with nonnegative Ricci curvature
Expanding solitons with non-negative curvature operator coming out of cones
Generic mean curvature flow. I: Generic singularities
On type-I singularities in Ricci flow
Volumes of balls in large Riemannian manifolds
Specifying angular momentum and center of mass for vacuum initial data sets
Existence and deformations of Kähler-Einstein metrics on smoothable $\mathbb{Q}$-Fano varieties
A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
On Calabi's conjecture for complex surfaces with positive first Chern class
Embedding and surrounding with positive mean curvature
Every K 3 surface is Kähler
On the oriented Plateau problem
Uryson width and volume
On Witten's proof of the positive energy theorem
The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning
Generic regularity of free boundaries for the obstacle problem
Convergence of the Ricci flow toward a soliton
Einstein metrics on connected sums of $(S^2\times S^3)$
Asymptotic behavior for singularities of the mean curvature flow
On the topology of complete manifolds of non-negative Ricci curvature
Einstein metrics and complex structures
Stability of the homology of the mapping class groups of orientable surfaces
Polarized period map for generalized K3 surfaces and the moduli of Einstein metrics
On the invariant mass conjecture in general relativity
Spin and scalar curvature in the presence of a fundamental group. I
On the equivalence of the first and second order equations for gauge theories
Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
Role of surface integrals in the Hamiltonian formulation of general relativity
The positive mass theorem for black holes revisited
Invariant connections and vortices
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
Kähler-Einstein metrics with positive scalar curvature
Sharp estimates and the Dirac operator
Complete Riemannian manifolds with pointwise pinched curvature
An obstruction to smooth isotopy in dimension $4$
A new proof of the positive energy theorem.
Positive scalar curvature, diffeomorphisms and the Seiberg-Witten invariants
Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups.
Min-max for phase transitions and the existence of embedded minimal hypersurfaces
Ricci flow from spaces with isolated conical singularities
Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
Three-manifolds with positive Ricci curvature
Kähler--Ricci solitons on toric manifolds with positive first Chern class
Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
Integrality of varifolds in the singular limit of reaction-diffusion equations
Einstein metrics and Mostow rigidity
Entropy and rigidity of locally symmetric spaces of strictly negative curvature
Desingularisation of Einstein metrics. I
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
The energy and the linear momentum of space-times in general relativity
On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity
The index and nullity of the Lawson surfaces $\xi_{g,1}$
A gluing formula for families Seiberg-Witten invariants
Pointwise lower scalar curvature bounds for $C^0$ metrics via regularizing Ricci flow
Characteristic classes via 4-dimensional gauge theory
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
Einstein manifolds, self-dual Weyl curvature, and conformally Kähler geometry
Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc
$G$-uniform stability and Kähler-Einstein metrics on Fano varieties
The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
Approximation of mean curvature flow with generic singularities by smooth flows with surgery
Noncollapsed degeneration of Einstein 4-manifolds. I
Noncollapsed degeneration of Einstein 4-manifolds. II
On the index of minimal surfaces with free boundary in a half-space
Filling metric spaces
Volume and macroscopic scalar curvature
Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness
Dirac and Plateau billiards in domains with corners
Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates
Bubbling analysis and geometric convergence results for free boundary minimal surfaces
Lower semicontinuity of mass under $C^0$ convergence and Huisken's isoperimetric mass
Einstein metrics, harmonic forms, and symplectic four-manifolds
Explicit Riemannian manifolds with unexpectedly behaving center of mass
Homological stability for moduli spaces of high dimensional manifolds. II.
The Weyl law for the phase transition spectrum and density of limit interfaces
The Ricci flow under almost non-negative curvature conditions
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
Lower Ricci curvature, branching and the bilipschitz structure of uniform Reifenberg spaces
The stable moduli space of Riemann surfaces: Mumford's conjecture
Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
A note on curvature and fundamental group
Minimal varieties in Riemannian manifolds
Minimal cones and the Bernstein problem
Complete minimal surfaces in $S^ 3$
The spacetime positive mass theorem in dimensions less than eight
Vortices in holomorphic line bundles over closed Kähler manifolds
Minimal submanifolds from the abelian Higgs model
The Lawson surfaces are determined by their symmetries and topology
A quantization property for static Ginzburg-Landau vortices
On conformally Kähler, Einstein manifolds
A survey of Einstein metrics on 4-manifolds

This page was built for publication: Differential geometry in the large. Abstracts from the workshop held July 2--7, 2023