IMSA Courses

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

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

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

Cohomological Donaldson-Thomas Invariants of 3-Manifolds

Explore Morse homology of complex Chern-Simons functional, its connections to 4D supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.

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

Ernesto Lupercio, CINVESTAV - Stringy Motives

Explore the localization principle for orbifolds in this advanced mathematical survey, featuring joint research on stringy motives and their applications.

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

On Mapping Class Groups of Non-Orientable Surfaces

Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.

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

Eduardo Gonzalez- Quantum Cohomology, Seidel Elements, Shift Operators & Coulomb Branches

Explore advanced mathematical concepts in quantum cohomology, Seidel elements, and Coulomb branches. Discover the interplay between equivariant cohomology and symplectic homology in Lie group manifolds.

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

Examples and Counterexamples in 2-D Equivariant Bordism

Explore finite group actions on surfaces and their extensions to 3-manifolds. Discover concrete answers and examine examples in equivariant bordism theory.

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

Coinduction for Comodule Algebras

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

Motives in Generalized Geometry

Explore generalized geometry and motives in this insightful conference talk, delving into advanced mathematical concepts and their applications in contemporary research.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Skein Exact Triangles in Equivariant Singular Instanton Theory

Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.

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

Low Dimensional Topology and Circle-valued Morse Functions

Explore Khovanov homology of torus braids, characterizing simplified complexes and their applications in quantum topology. Gain insights into recent advancements and conjectures in low-dimensional topology.

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

Low Dimensional Topology and Circle-Valued Morse Functions

Explore the Kakimizu complex for genus one hyperbolic knots, examining its structure, dimensions, and examples across various dimensions in 3-sphere topology.

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

Hodge Theory of Abelian Covers of Algebraic Varieties

Explore Hodge Theory of Abelian Covers in algebraic varieties, covering Alexander modules, multivariables, and transformations. Gain insights into advanced mathematical concepts and their applications.

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

Curvature Formula for Direct Images of Relative Canonical Bundles with Poincaré Type Twist

Curvature formula for direct images of relative canonical bundles with Poincaré type twist, improving positivity results and potentially proving Kobayashi hyperbolicity of moduli spaces.

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