IMSA Courses

A'Campo Spaces and Their Applications

Explore A'Campo spaces in singularity theory, their symplectic extensions, and applications to monodromy dynamics and Zariski multiplicity conjecture.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Degenerations of del Pezzo Surfaces with Only Wahl Singularities

Explore the classification of del Pezzo surface degenerations with Wahl singularities, extending Markov number theory to complex algebraic geometry applications.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Twistor Space of Universal Unfolding of A_n Singularity and Beyond

Explore the twistor space construction connecting stability conditions and cluster Poisson varieties through A_n singularities and quiver theory.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

New Developments in Singularity Theory

Explore cutting-edge advances in singularity theory through expert mathematical research presented at this specialized academic conference.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

cAn Singularities Revisited

Explore quasihomogeneous cAn singularities through birational geometry and symplectic cohomology of Milnor fibres in this advanced mathematical research presentation.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

New Developments in Singularity Theory

Explore cutting-edge advances in singularity theory through expert insights from Harvard's Benjamin Gammage at this specialized mathematical conference.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Normal Functions and Their Invariants

Explore normal functions and infinitesimal invariants in Hodge theory, focusing on singularity structures and applications to algebraic varieties and cycles.

• YouTube
• 55 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video