IMSA Courses

Coinduction for Comodule Algebras

1 review

Explore coinduction for comodule algebras, focusing on constructing C_c(G)-comodule algebras from C(H)-comodule algebras for finite H, and its implications for crossed products and group cases.

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

Low Dimensional Topology and Circle-valued Morse Functions

1 review

Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.

• YouTube
• 1 hour
• On-Demand
• Conference Talk

The $K(\pi, 1)$ Conjecture - Part 2

1 review

Explore the recent proof of the classical K(π,1) conjecture for affine Artin groups, delving into its mathematical intricacies and implications for algebraic topology.

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

Interpolation for Polynomials in Two Variables

1 review

Explore advanced polynomial interpolation techniques in two variables, covering dimension counts, Picard groups, and conjectures like Segre's and Nagata's. Delve into cones, extremal rays, and the A-Conjecture.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

Equivariant Birational Geometry of 3-Dimensional Projective Space

1 review

Explore G-equivariant birational geometry of 3D projective space, focusing on finite group actions and their impact on fibrations into rational curves or surfaces.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Generalized Kähler Constant Scalar Curvature Problem

Explore the generalized Kähler constant scalar curvature problem, including moment map framework, Calabi Problem, and new examples on P^2 for toric Poisson manifolds.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

T-Duality With Fixed Points

Explore T-duality's mathematical framework, focusing on symmetries between quantum field theories and its application to torus actions with fixed points using elliptic tangent bundles.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Introduction to Generalized Kahler Geometry II

Explore generalized Kähler and bihermitian structures, focusing on 4D features and extending to higher dimensions. Examine holomorphic Poisson geometry and analogs of standard Kähler properties.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Introduction to Generalized Kahler Geometry I

Explore generalized Kähler and bihermitian structures, focusing on 4D features and extending to higher dimensions. Examine holomorphic Poisson geometry and analogs of standard Kähler properties.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

T-Duality and Generalized G_2 Structures

Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering new insights into manifold structures and their properties.

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

T-Duality and Generalized G_2 Structures

Exploration of T-duality on nilmanifolds and its application to generate integrable generalized G_2-structures, offering insights into manifolds with unique geometric properties.

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

Carlos A. Ruiz, UNAM - Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference

Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this in-depth conference presentation.

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

Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference

Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this conference presentation.

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

Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry II

Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry I

Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.

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