Canonical Metrics on Holomorphic Bundles
Explore canonical metrics on holomorphic bundles with renowned mathematician Shing-Tung Yau, delving into advanced geometric analysis and complex differential geometry.
Moduli Spaces of Weighted Pointed Stable Curves and Grassmannians G_n,2
Explore moduli spaces of weighted pointed stable curves and their connections to Grassmannians G_n,2 in this advanced mathematics talk by Svjetlana Terzic from the University of Montenegro.
Holomorphic Torus Fibre Bundles over Toric Varieties - Generalised Calabi-Eckmann Fibrations
Explore holomorphic torus fibre bundles, Calabi-Eckmann fibrations, and complex structures on moment-angle manifolds in this advanced mathematics lecture by Taras Panov.
Kähler-Einstein Bergman Metrics on Pseudoconvex Domains
Explore Kähler-Einstein Bergman metrics on pseudoconvex domains, examining Yau and Cheng's conjectures and related questions in complex geometry.
Balanced Metrics and the Hull-Strominger System
Explore balanced metrics and the Hull-Strominger system in complex geometry, examining their connections and applications in mathematical physics.
The Hypoelliptic Laplacian in Real and Complex Geometry
Explores the hypoelliptic Laplacian's construction and applications in real and complex geometry, focusing on de Rham and Dolbeault theories and its role as a geometric Fokker-Planck operator.
Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry
Explore Kobayashi non-hyperbolicity of Calabi-Yau manifolds through mirror symmetry. Gain insights into complex geometry, holomorphic curves, and Hodge theory in this advanced mathematical seminar.
Brazil-France School on Foliation Theory - Lecture
Explore advanced concepts in foliation theory with renowned mathematician Carolina Araujo in this Brazil-France School lecture.
Quillen Metrics and Applications - Part 1
Explorez les métriques de Quillen et leurs applications dans cette conférence approfondie sur les cartes jaugées, les vortex et leurs moduli.
Polynomially Convex Embeddings of Real Manifolds in C^n
Explore geometric embeddings of real manifolds in complex spaces, focusing on polynomial convexity and its connections to approximation theory and diverse mathematical areas.
Geometric Quantization of General Kahler Manifolds
Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.
Geometry from Donaldson-Thomas Invariants
Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.
Hodge Conjecture for Singular Varieties
Explore the Hodge conjecture for singular varieties in algebraic geometry, delving into complex mathematical concepts and recent developments.
Real Structures on Hyper-Kähler Manifolds
Explore real structures on hyper-Kähler manifolds with Lie Fu, delving into advanced geometric concepts and their applications in mathematics.
On the Metric Structure of Section Rings
Explore the metric structure of section rings in complex geometry, dynamical systems, and foliation theory through an in-depth mathematical analysis.
On the Automorphisms of Compact Kähler Manifolds
Explore automorphisms of compact Kähler manifolds with Tien-Cuong Dinh in this advanced mathematics conference talk, delving into complex geometry and dynamical systems.
Extension of Quasiplurisubharmonic Functions - 2022
Explore extension techniques for quasiplurisubharmonic functions in complex geometry, dynamical systems, and foliation theory. Gain insights from Dan Coman's conference talk at CIRM.
Formal Principle for Rational Curves in Complex Threefolds
Explore formal principles for rational curves in complex threefolds, delving into advanced mathematical concepts in complex geometry and dynamical systems.
Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries
Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
Efimov K-theory and Its Applications to Complex Geometry - Lecture 2
Explore Efimov's extended algebraic K-theory, its broader categorical context, and applications to complex geometry in this advanced mathematics lecture.
Hodge Theory and Lagrangian Fibrations in Holomorphic Symplectic Manifolds
Explore Hodge theory and Lagrangian fibrations in holomorphic symplectic manifolds. Delve into conjectures, isomorphisms, and decomposition theorems in this advanced mathematical discourse.