Birkhoff Sums as Distributions in Dynamical Systems
Explore Birkhoff sums as distributions in dynamical systems, examining regularity results for hyperbolic systems and applications to deformation theory in one-dimensional dynamical systems.
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Connectedness and Deformation by Conjugation of Actions on [0,1] or S^1
Explore connectedness and deformation by conjugation of actions on [0,1] or S^1 in this advanced mathematical lecture by Hélène Eynard-Bontemps.
Deformations of Semi-Smooth Varieties
Explore deformation theory of semi-smooth varieties, focusing on tangent sheaf and T^1 sheaf. Discusses smoothability of semi-smooth Godeaux surfaces as an application.
Rigid Compact Complex Manifolds - Properties and Examples
Explore rigid compact complex manifolds, their properties, and recent findings in product-quotient varieties, addressing long-standing questions in algebraic geometry.
Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks Pt. II
Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
Moduli Spaces of Parabolic Connections and Parabolic Bundles and Geometric Langlands by M-H Saito
Explore moduli spaces of parabolic connections and bundles, their properties, and applications in Geometric Langlands. Covers deformation theory, symplectic structures, and key theorems in this advanced mathematical topic.
Coassociative Fibrations in G2 Geometry
Explore G2 geometry in 7D spaces, focusing on coassociative submanifolds. Learn about their properties, deformation theory, and constructions forming fibrations with singular fibers in 7-manifolds.
Deformation Theory for Finite Cluster Complexes
Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.
Geometry of Moduli Spaces of Curves - Lecture 1
Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the Summer School.
Raf Bocklandt: Deforming Dimers
Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
Deformations of Path Algebras of Quivers With Relations
Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
Deformations of Path Algebras of Quivers with Relations
Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
Deformations of Path Algebras of Quivers With Relations - Lecture I
Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
Deformation of Representation and Fusion Rings for a Lie Algebra by Swarnava Mukhopadhyay
Explores deformation theory in representation and fusion rings of Lie algebras, discussing mathematical concepts and their applications in algebraic and combinatorial methods.
Hochschild Cohomology and Deformation Theory of Hilbert Schemes of Points on Surfaces
Explore Hochschild cohomology of Hilbert schemes, its impact on deformation theory, and connections to symmetric quotient stacks. Gain insights into twisted Hodge numbers and recent research developments.
Heights on Curves and Limits of Hodge Structures
Explore the connection between Néron-Tate heights on smooth curves and biextension heights of limit mixed Hodge structures, with implications for computing Beilinson-Bloch heights in higher dimensions.
From Symplectic Deformation to Isotopy - Equivariant Perspective
Explore symplectic deformation and equivariant isotopy in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
Super Stable Maps of Genus Zero - Moduli Spaces and Normal Bundles
Explore moduli spaces and normal bundles of super stable maps in genus zero, delving into advanced mathematical concepts and their applications.
On Deformations Over Non-Commutative Base
Explore deformations over non-commutative base with Professor Yujiro Kawamata, delving into advanced mathematical concepts and their applications in algebraic geometry.
Empty Real Plane Sextic Curves
Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
Geometry of Shape Change - Lecture 2
Explore advanced concepts in shape change geometry, focusing on mathematical principles and applications in physics and materials science.