Deformation Theory Courses and Certifications

IMSA

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.

• YouTube
• 59 minutes
• On-Demand
• Free Video

IMSA

Global Logarithmic Deformation Theory - Lecture 1

Dive into advanced mathematical concepts of logarithmic deformation theory, exploring curved dg Lie algebras and their role in infinitesimal deformations of logarithmic varieties.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

IMSA

Global Logarithmic Deformation Theory - Lecture 2

Dive into advanced mathematical concepts of curved dg Lie algebra and its role in controlling infinitesimal deformations of logarithmic varieties, with focus on unobstructed deformations and smoothing techniques.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 1 hour
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Raf Bocklandt: Deforming Dimers

Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Graph Complex Action on Poisson Structures: From Theory to Computation

Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

On Resurgent Poisson Structures and Deformations

Explore Z-resurgent series algebra, alien derivations, and their applications in constructing Poisson structures and non-commutative deformations of algebraic products.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institute for Mathematical Sciences

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.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Kontsevich's Star-Product up to Order Seven for Affine Poisson Brackets

Explore Kontsevich's star-product formula for affine Poisson brackets, examining its expansion up to seventh order and investigating the mechanism of associativity in higher orders.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Higher Structures and Deformations of Non-Commutative Spaces

Explorez les structures supérieures et déformations des espaces non commutatifs, en examinant la théorie des déformations et les modèles algébriques pour les espaces.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Generic Theta Divisors and Deformation Theory

Delve into advanced deformation theory and its application to theta functions on Riemann surfaces, exploring cohomology constraints and dg Lie modules in characteristic zero mathematics.

• YouTube
• 55 minutes
• On-Demand
• Free Video