Involutions of a Cubic Fourfold
Explore involutions of cubic fourfolds, covering hyperkähler manifolds, period domains, and evolution types. Delve into geometry, rationality, and related mathematical concepts.
Fixed Loci of Anti-Symplectic Involutions
Explore geometric constructions linking Fano manifolds and hyperkähler manifolds, focusing on reversing the process to recover Fano manifolds from hyperkähler structures.
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 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.
Hyperkähler Manifolds, an Introduction I
Explore the fundamental concepts and properties of hyperkähler manifolds in this introductory lecture by Elham Izadi, delving into complex geometry and algebraic topology.
On the Geometry of Hyperkähler Manifolds
Explore hyperkähler manifolds, their properties, and examples. Delve into deformation types, moduli spaces of stable sheaves, and the birational geometry of K3-type manifolds with symplectic actions.
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.
On Symplectic Transformations of OG10-Type Hyperkähler Manifolds via Cubic Fourfolds
Explore symplectic birational transformations on OG10-type hyperkähler manifolds, focusing on LSV manifolds derived from cubic fourfolds and their cohomological actions.
The Defect of a Cubic Threefold
Explore geometric properties of singular cubic threefolds, relating defect to various characteristics. Insights from ongoing research with Lisa Marquand, inspired by Hyperkähler manifold construction.
Categorical Aspects of the Fueter Equation in 3D Topological Quantum Field Theory
Explore categorical aspects of the Fueter equation, examining its role in topological quantum field theory and connections to complex geometry and mirror symmetry.
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.
Towards a Mathematical Theory of 3D Mirror Symmetry
Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
Symplectic Singularities Arising from Algebras of Symmetric Tensors
Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.
Mirror Symmetry for Hyperkahler Manifolds
Explore mirror symmetry in hyperkähler manifolds, delving into complex geometric structures and their dual counterparts in string theory.