IMSA Courses

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

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

Geometry, Topology, Group Actions, and Singularities in the Americas

Explore the intersection of geometry, topology, group actions, and singularity theory in this conference talk, fostering collaboration among experts across the Americas and beyond.

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

Decomposition of Definable Sets in Algebraically Closed Fields

Exploration of definable set decomposition in algebraically closed fields, focusing on advanced concepts and techniques in geometric model theory and algebraic geometry.

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

Mirror Structure Constants via Non-Archimedean Analytic Disks

Exploration of mirror structure constants for smooth affine log Calabi-Yau varieties using non-archimedean analytic disks, generalizing previous constructions and discussing potential further applications.

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

Ernesto Lupercio- Quantum Toric Geometry Pt. II

Explores quantum toric geometry, generalizing toric geometry with moduli spaces. Advanced mathematical concepts for researchers in algebraic topology, geometry, and mathematical physics.

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