Vanishing Theorems for the Irregular Hodge Filtration
Explore recent advances in irregular Hodge filtration, focusing on Kodaira vanishing theorems similar to Saito's for mixed Hodge modules.
Motives and Ring Stacks
Explore advanced cohomology theories through ring stacks, examining their connection to 6-functor formalism and motivic theory. Gain insights into Tannaka duality and analytic geometry applications.
The Galois Group of the Category of Mixed Hodge-Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.
Dynamical Degrees - #ICBS2024
Explore dynamical degrees, comparing them to other dynamics concepts and delving into key findings using ideas from dynamics, Hodge theory, and geometries.
Locally Symmetric Varieties with Moduli Interpretation
Explore complex algebraic geometry, focusing on realizing moduli spaces as locally symmetric varieties through Hodge theory. Survey existing results and examine Calabi-Yau manifolds with complex hyperbolic ball periods.
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.
Hodge Theory for Non-Archimedean Analytic Spaces
Explore Hodge theory for non-Archimedean analytic spaces, extending Deligne's work and generalizing complex analytic constructions. Gain insights into K-analytic spaces and their cohomology groups.
On the Non-Abelian Hodge Locus - GADEPs Conference III
Explore advanced mathematical concepts in Noether-Lefschetz and Hodge loci through expert lectures and discussions at this specialized conference on geometry, arithmetic, and differential equations of periods.
Fano Manifolds and the Lefschetz Defect - Class 1
Explore Fano manifolds and Lefschetz defect in algebraic geometry. Delve into advanced concepts with expert Cinzia Casagrande in this comprehensive mini-course from the V Latin American School of Algebraic Geometry.
Higher Dimensional Fano Varieties - Lecture 4
Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.
Higher Dimensional Fano Varieties - Lecture 1
Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.
B-divisors and Applications to Dynamics - Class 2
Explore B-divisors and their applications to dynamics in algebraic geometry. Gain insights from expert Charles Favre in this advanced mini-course from the V Latin American School of Algebraic Geometry.
Fano Manifolds and the Lefschetz Defect - Class 4
Explore Fano manifolds and Lefschetz defect in this advanced algebraic geometry lecture. Gain insights into complex mathematical concepts and their applications in modern research.
Hodge Structures and Quantum Toric Geometry
Explore Quantum Toric Geometry and its impact on Hodge Theory generalizations in this advanced mathematics colloquium, featuring insights from collaborative research in non-commutative spaces.
Gapped Clique Homology is QMA1-Hard and Contained in QMA
Explore the complexity of homology problems in computational topology, focusing on clique complexes and their quantum complexity classification through innovative eigenvalue analysis techniques.
Moduli Spaces in p-adic Non-abelian Hodge Theory
Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.
Tame Geometry for Hodge Theory
Explore tame geometry's role in Hodge Theory, covering major advances, definable structures, and key theorems. Gain insights into geometric variation and functional transcendence in this advanced mathematics lecture.
What Motives Know About Periods and the Other Way Around
Delve into the relationship between motives and period numbers, exploring transcendence theory, the Period Conjecture, and its implications for Hodge-de Rham realization on Nori motives.