IMSA Courses

Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.

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

Homological Mirror Symmetry - Yan Soibelman

Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Homological Mirror Symmetry - Introduction to 3D Mirror Symmetry

Explore 3d mirror symmetry's duality between holomorphic symplectic manifolds, focusing on a new 2-categorical formulation that extends homological mirror symmetry concepts.

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

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