Free Boundary Minimal Surfaces in Geodesic Balls in Hyperbolic Space and Upper Half-Sphere
Explore free boundary minimal surfaces in geodesic balls, connecting immersions in spherical caps to maximal metrics and extending results to hyperbolic space and upper half-sphere.
Steklov Eigenvalues in Negatively Curved Manifolds
Explore Steklov eigenvalue problem in negatively curved manifolds, focusing on lower bounds and relationships with volume and boundary area in dimensions 3 and higher.
The Steklov Spectrum of Convex Euclidean Polygons
Explore upper bounds and inverse problems for Steklov eigenvalues of convex polygons. Discover how generic n-gons can be determined by their Steklov spectra using powerful spectral invariants.
Hyperbolic Manifolds in Dimension Higher Than 3
Explore hyperbolic manifolds in dimensions 4 and higher, examining their properties, challenges in description, and current understanding in topology.
The Rescaling Method on Subvarieties of Bounded Symmetric Domains
Explore the rescaling method for algebraic subvarieties of bounded symmetric domains, examining holomorphic isometries and their applications to complex geometry and algebraic theory.
Around the Alexandrov-Fenchel Inequality - Convex Geometry and Its Applications
Explore the history and recent progress in convex geometry, focusing on Minkowski's theory and its connections to various mathematical disciplines.
Old and New Developments on the Erdos-Szekeres Convex Polygon Problem
Explore old and new developments in the Erdos-Szekeres convex polygon problem, gaining insights into this fascinating mathematical challenge.
Higher Genus Meanders and Masur-Veech Volumes
Explore higher genus meanders, their asymptotics, and connections to moduli spaces of Abelian and quadratic differentials. Gain insights into complex mathematical concepts and recent advances in geometry.
Polynomial Bounds on Reidemeister Moves in Knot Theory
Explore polynomial bounds on Reidemeister moves in knot theory, examining algorithms for trivial knot recognition and the relationship between diagram complexity and move sequences.
Moduli of Curves and Moduli of Sheaves - Relationships and Correspondences
Explore relationships between moduli spaces of curves, maps, and sheaves, from GW/DT correspondence to connections with K3 surfaces and abelian varieties moduli.
Skein Valued Counts of Open Curves in Calabi-Yau Threefolds
Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.
Positive Scalar Curvature on Manifolds and Foliations - ICBS 2024
Explore recent advances in positive scalar curvature metrics on manifolds and foliations, a key topic in differential geometry.
Polyhedra with Vertices on a Quadric
Explore combinatorial types of polyhedra with vertices on quadrics, from Steiner's 1832 question to recent findings using ideal polyhedra in various geometries.
Duality Between the Pseudoeffective and the Movable Cone on a Projective Manifold
Explore duality between pseudoeffective and movable cones on projective manifolds, including recent developments and connections to non-Archimedean Calabi-Yau theorem.
Functoriality and Sheaf Property for Wrapped Fukaya Categories
Explore functorial and sheaf-theoretic properties of wrapped Fukaya categories, surveying key results and insights in this advanced mathematical topic.
Elliptic Cohomology and Enumerative Geometry
Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.
Dynamical Degrees - #ICBS2024
Explore dynamical degrees, comparing them to other dynamics concepts and delving into key findings using ideas from dynamics, Hodge theory, and geometries.
Measure Rigidity Beyond Homogeneous Dynamics
Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.
Kahler-Einstein Metrics on Fano Manifolds - ICBS 2024
Explore Kahler-Einstein metrics on Fano manifolds, bridging differential and algebraic geometry through singularity formations and recent advancements in the field.
The David-Semmes Problem, Rectifiability, and Harmonic Measure - ICBS 2024
Explore the David-Semmes problem, its solution in codimension one, and its impact on harmonic measure problems. Gain insights into Riesz transforms and n-rectifiability.
Curvature Positivity and $\bar\partial$ Equation with Optimal $L^2$ Estimate - ICBS 2024
Explore recent advancements in multiplier ideal sheaves, multiplier submodule sheaves, and converse L^2 theory. Gain insights into Nakano semipositivity criteria and solutions to Lempert's problem.