IMSA Courses

Homological Mirror Symmetry - Non-Holomorphic Deformations of Landau-Ginzburg

Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.

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

Khajuraho's Magic Square and Hypercube Symmetries - General Seminar

Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.

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

Surface Quotient Singularities and Big Cotangent Bundle

Explore hyperbolic properties of surfaces with big cotangent bundle, including the Green-Griffiths-Lang conjecture and a new bigness criterion for orbifold surface resolutions.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Math in Cyber Security

Explore the crucial role of mathematics in cybersecurity, uncovering its applications and importance in protecting digital systems and data.

• YouTube
• 1 hour
• Self-Paced
• Conference Talk

Donaldson-Thomas and Gromov-Witten Theories - Part 18

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties, with applications to superstring theory.

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

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 15

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 14

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 13

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Alberto Verjovsky- Hilbert-Blumenthal and Bianchi Quaternionic Orbifolds

Explore recent advancements in quaternionic orbifolds, generalizing Hilbert-Blumenthal varieties to Hamilton quaternions and quaternion algebras over number fields, with insights on cusps and ongoing research.

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

Donaldson-Thomas and Gromov-Witten Theories - Part 12

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

A Categorical Description of Discriminants

Explore a categorical approach to discriminants in toric homological mirror symmetry, including B-side categories, spherical functors, and K-theoretic evidence. Joint work with Ludmil Katzarkov presented.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

The Hodge Filtration by Age and the Spectrum of Du Val Singularities

Explore the connection between cyclic homology's Hodge structure and the Ito-Reid age filtration in Mckay correspondence, with applications to Du Val singularities' spectrum computation.

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

On Mapping Class Groups of Non-Orientable Surfaces

Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.

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