Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Exotic Calabi-Yau Metric and Holomorphic Fibration
Explore complete Calabi-Yau metrics, from historical developments to recent constructions on C^3, with insights into collapsing metrics on Calabi-Yau 3-folds.
Complex Brunn-Minkowski Theory and Uniqueness Theorems in Kähler Geometry
Explore complex Brunn-Minkowski theory and its applications in Kähler geometry, focusing on uniqueness theorems and generalizations of Bando-Mabuchi's work on Kähler-Einstein metrics.
Rigidity and Multiplicity of Singularities Associated to Ample Vector Bundles
Explore rigidity and multiplicity of singularities in ample vector bundles, focusing on irreducible desingularization and multiplicity formulas for isolated singularities.
Understanding the Relationship Between the Schramm-Loewner Evolution and the Gaussian Free Field
Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.
Euler's Constant and Exponential Motives
Explore Euler's constant in exponential motives, examining its role in Q(-1) extensions and E-function differential equations.
On the Enclosed Volume of Constant Mean Curvature Surfaces in the 3-Sphere and Euclidean 3-Space
Explore constant mean curvature surfaces in 3D spaces, computing area and enclosed volume using flat connection invariants. Joint work insights included.
Critical Points of Eisenstein Series and Spectrum of the Lame Operator
Explore critical points of Eisenstein series E2, E4, E6 and their applications to the Lame operator's spectrum in this advanced mathematics lecture.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
Total Positivity: Combinatorics, Geometry and Representation Theory
Explore total positivity theory in matrices, its applications, and recent developments in combinatorics, geometry, and representation theory.
The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 2
Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact on mathematics.
On the Boundary of an Immediate Attracting Basin of a Hyperbolic Entire Function
Explore the boundary dynamics of hyperbolic entire functions' immediate attracting basins. Gain insights into complex analysis and dynamical systems theory.
Fast Evaluation of Real and Complex Polynomials
Explore efficient techniques for evaluating real and complex polynomials, enhancing computational skills in mathematical analysis and numerical methods.
Quasisymmetry and Self-Similarity of Siegel Disks
Explore quasisymmetry and self-similarity in Siegel disks, delving into advanced mathematical concepts with Denis Gaidashev from Uppsala University.
Indecomposable Continua in Exponential Dynamics
Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.
Area Property and Convergence of Thurston's Iteration for Post-Singularly Infinite Entire Functions
Explore Thurston's iteration convergence for post-singularly infinite entire functions, focusing on area property implications and mathematical insights.
Forward Compositions of Inner Functions
Explore forward compositions of inner functions, delving into advanced mathematical concepts and their applications in complex analysis.
Local Connectivity of Boundaries of Tame Fatou Components of Meromorphic Maps
Explore local connectivity of boundaries in tame Fatou components for meromorphic maps, delving into complex dynamics and geometric function theory.
Hénon-like Renormalization
Explore Hénon-like Renormalization theory and its applications in dynamical systems, presented by Jonguk Yang from the University of Zurich.
On a Mandelbrot-Like Set for a Family of Exponential Maps
Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.
Boundary Behaviour of Universal Covering Maps and Applications
Explore boundary behavior of universal covering maps and their applications in mathematics, focusing on advanced topological concepts.