Hard Lefschetz Theorem and Hodge-Riemann Relations for Convex Valuations
Explore mixed hard Lefschetz theorem and Hodge-Riemann relations in smooth valuations, generalizing Alexandrov-Fenchel inequality for convex bodies using operator perturbation theory.
Hyperkähler Manifolds: An Introduction - Part 1
Explore the intricacies of hyperkähler manifolds in this advanced algebraic geometry lecture, delving into classical concepts and recent developments in the field.
Hyperkähler Manifolds: An Introduction - Part 5
Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi.
Hyperkähler Manifolds: An Introduction - Part 2
Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi from UCSD.
Hyperkähler Manifolds: An Introduction - Part 1
Explore the fascinating world of hyperkähler manifolds in this advanced mathematics lecture, delving into complex geometric structures and their properties.
Calabi-Yau Theory in Generalized Kahler Geometry
Explore Calabi-Yau theory's extension to generalized Kahler geometry, examining connections to supergravity and geometric flow approaches for constructing solutions.
Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry
Explore generalized structures on manifolds, focusing on commuting pairs and their integrability. Delve into para-hyper-Hermitian and Born geometry within this context.
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.
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.
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.
Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds
Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.