Hyperkähler Manifolds: An Introduction - Part 4.1
Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this comprehensive mathematical lecture.
Hyperkähler Manifolds: An Introduction - Part 4.2
Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and physics.
Hyperkähler Manifolds: An Introduction - Part 3.2
Explore advanced concepts of Hyperkähler manifolds, delving into complex geometric structures and their applications in mathematics and theoretical physics.
Hyperkähler Manifolds: An Introduction - Part 3.1
Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this in-depth mathematical 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.
Hyperkähler Manifolds, an Introduction I – Part 2
Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and theoretical physics.
Canonical Metrics in Complex Geometry
Explore canonical metrics in complex geometry, focusing on pluriclosed and balanced metrics. Learn about new constructions of compact non-Kähler manifolds and their properties.
A More Comprehensible Proof of the Reductive Shafarevich Conjecture
Explore a new, more comprehensible proof of the reductive Shafarevich conjecture in complex geometry, connecting non-abelian Hodge theories and presenting recent work on Shafarevich morphisms construction.
The KSBA Moduli Space of Log Calabi-Yau Surfaces
Explore the geometry of log Calabi-Yau surfaces and their KSBA moduli space in this advanced mathematical lecture, delving into complex algebraic geometry concepts.
Holomorphic Discs of Negative Maslov Index and Extended Deformations in Mirror Symmetry
Explore holomorphic discs of negative Maslov index and their impact on mirror symmetry, focusing on extended deformations of Landau-Ginzburg models and family Floer theory in complex geometry.
Discrete Group Actions on the Complex Projective Plane CP^2
Explore discrete group actions on CP^2, extending classical Kleinian group theory to higher dimensions. Gain insights into complex geometry and holomorphic dynamics.
Geometric Quantization of General Kähler Manifolds
Explore geometric quantization on Kähler manifolds, examining compatible constructions of function quantization, Hilbert space structure, and Kähler structure dependence in symplectic manifolds.
Cohomology of Moduli Spaces of Curves
Explore the intricate cohomology of curve moduli spaces with Hannah Larson, delving into advanced algebraic geometry concepts and their applications.
Universally Counting Curves in Calabi-Yau Threefolds
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
Calabi Problem in Generalized Kahler Geometry
Explores generalized Kahler structures, their connection to Kahler manifolds with holomorphic Poisson structures, and presents an approach to the Calabi problem in this context, with focus on toric complex Poisson varieties.
Wobbly Fixed Points, Equivariant Multiplicities and U(p,q)-Higgs Bundles
Explores geometry of Higgs bundle moduli spaces, focusing on nilpotent cone fixed points and their classification. Analyzes U(p,q)-Higgs bundles and compares results with equivariant multiplicities.
Twistor Spaces and Compact Manifolds Admitting Kähler and Non-Kähler Structures
Explore twistor spaces and compact manifolds with dual Kähler and non-Kähler structures. Discover historical examples and new findings in higher dimensions using quaternion twistor spaces of hyperkähler manifolds.
Double Groupoids and Generalized Kahler Structures
Explore double groupoids and generalized Kahler structures, focusing on holomorphic symplectic groupoids and their role in describing generalized Kahler metrics using a single real scalar function.
Complex Calabi-Yau Threefolds with Boundary
Explore complex Calabi-Yau threefolds with boundary, extending Hitchin's local Torelli Theorem. Discover connections to G2 structures and affine differential geometry in this advanced mathematical lecture.
Higgs Bundles, Convex Cocompact Subgroups of SU(1,n), and Slodowy Slices
Explore Higgs bundles, SU(1,n) subgroups, and Slodowy slices. Discover connections between stable Higgs bundles and holonomy groups, focusing on SU(1,n) representations and complex hyperbolic manifolds.