IMSA Courses

Donaldson-Thomas and Gromov-Witten Theories - Part 8

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 28 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 7

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 29 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part VI

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 38 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 5

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 57 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 4

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

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part 3

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

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Donaldson-Thomas and Gromov-Witten Theories - Part II

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

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Motivic Integration for Non-Archimedean Analytic Spaces - I

Explore motivic integration for rigid varieties over complete discrete valued fields, with potential applications to Berkovich spaces and logarithmic geometry.

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

Donaldson-Thomas and Gromov-Witten Theories - Part I

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

Schön Varieties and Decomposition of Semi-Algebraic Set

Explore tropicalization, Schön varieties, and decomposition of semi-algebraic sets. Learn about initial degenerations, motivic volumes, and tropical fans in algebraic geometry.

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

Basics on Motivic Integration

Explore fundamental concepts of motivic integration, including motivic volume definition and computational examples, in this concise mathematical exposition.

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

Tropical Geometry & Artificial Life

Explore self-organized criticality in artificial life models through tropical geometry, examining its applications and implications for understanding complex systems.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Motivic Integration & Stringy Chern Classes

Explore motivic integration basics and learn how stringy Chern classes apply to singular varieties in this advanced mathematics lecture by Ernesto Lupercio.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Orbifolds as Stacks & Stringy Cohomology and Localization

Explore orbifolds as stacks, twisted sectors, stringy cohomology, and localization methods in advanced mathematics with expert Ernesto Lupercio from CINVESTAV.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Functional Inequalities and Improvements: Stability - Part 1

Explore functional inequalities, their applications, and recent developments in stability theory. Learn strategies for optimizing constants and functions in various mathematical fields.

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