IMSA Courses

Topological Recursion - Lecture II

Explore advanced concepts in topological recursion with expert Bertrand Eynard, delving into complex mathematical theories and their applications in physics and geometry.

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

Topological Recursion - Lecture I

Explore the foundations of topological recursion with expert Bertrand Eynard, delving into mathematical concepts and applications in this comprehensive lecture.

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

New Rational Cubic Fourfolds via Cremona Transformation

Explore birational equivalence of cubic fourfolds and K3 categories, focusing on cases with Veronese surfaces and using Cremona transformations to discover new rational cubic fourfolds.

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

Geometric Recursion - Lecture II

Explore geometric recursion's relation to topological recursion, focusing on mapping class group invariant functions and their applications in moduli spaces and Gromov-Witten invariants.

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

Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces

Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.

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

Math and Nature

Explore mathematical patterns in nature and their applications in neuroscience. Discover how math reveals hidden structures in the world and aids in developing medical solutions for neurological disorders.

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

Quantization of Moduli Spaces of Local Systems at Roots of Unity

Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.

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

A Local Version of HMS for Parabolic Hitchin Space

Exploring coherent sheaves on Springer fibers and their relation to microlocal sheaves, with applications to mirror duality in parabolic Hitchin spaces.

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

Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs

Exploration of homological mirror symmetry for intrinsic mirror pairs, comparing algebraic-geometric and symplectic approaches using quantum cohomology and VFC machinery.

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

Mirrors of Curves and Their Fukaya Categories II

Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.

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

Quantum Spectrum in Algebraic Geometry II

Explores quantum spectrum in algebraic geometry, focusing on quantum blow-up formula and its applications in birational geometry, motivic measures, and singularity resolution.

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

Homological Mirror Symmetry for Higher Dimensional Pairs of Pants

Explore homological mirror symmetry for higher dimensional pairs-of-pants, examining the equivalence between wrapped Fukaya category and derived category of coherent sheaves on coordinate hyperplanes.

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

Mirrors of Curves and Their Fukaya Categories I

Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.

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

Cohomological Hall Algebras, Nekrasov Instantons, and Coulomb Branches

Explore advanced mathematical concepts in gauge theory, including Cohomological Hall algebras, Nekrasov instantons, and their connections to geometric representation theory and 3D Calabi-Yau manifolds.

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

Quantum Spectrum in Algebraic Geometry I

Explore quantum spectrum in algebraic geometry, focusing on quantum blow-up formula and its applications in birational geometry, motivic measures, and singularity resolution.

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