Moduli Space Courses and Certifications

ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 4

Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones a la teoría de grupos y análisis.

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

ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 3

Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, profundizando en conceptos avanzados de matemáticas y análisis geométrico.

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

ICTP Mathematics

AGRA IV - Combinatorics of Square-Tiled Surfaces and Geometry of Moduli Spaces - Lecture 2

Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones matemáticas y análisis profundo.

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

ICTP Mathematics

Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 1

Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, abordando conceptos avanzados en matemáticas y análisis geométrico.

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

ICTP Mathematics

Geometry of Moduli Spaces of Curves - Lecture 4

Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the ICTP Summer School.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Tautological Rings of Moduli Spaces of Curves - Lecture 3

Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.

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

Hausdorff Center for Mathematics

Horocycle Flow on Moduli Spaces of Translation Surfaces

Explore the intricate dynamics of horocycle flow on moduli spaces of translation surfaces in this advanced mathematics lecture by Jon Chaika.

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

Fields Institute

Moduli of Boundary Polarized Log Calabi Yau Pairs

Explore boundary polarized log Calabi-Yau pairs and their moduli spaces in this advanced mathematical lecture by Kristin DeVleming from UMass Amherst.

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

International Mathematical Union

Counting Lattice Points in Moduli Spaces of Quadratic Differentials

Explore lattice point counting in moduli spaces of quadratic differentials, examining applications in Masur-Veech volumes, geodesic multicurves, and meander enumeration.

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

IMSA

Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II

Exploration of intersection cohomology in moduli spaces of semistable bundles on Riemann surfaces, featuring new formulas for intersection Betti numbers and geometric insights.

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

IMSA

Moduli Spaces for Rational Elliptic Surfaces - of Index 1 and 2

Explore rational elliptic surfaces, their construction from pencils of curves, and recent developments in moduli space construction for surfaces with multiple fibers.

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

IMSA

Compactifications of Moduli — Geometry vs. Hodge Theory

Exploration of geometric and Hodge theoretic approaches to compactifying moduli spaces in algebraic geometry, with focus on classical cases and H and I-surfaces.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Secondary Fan, Theta Functions, and Moduli of Calabi-Yau Pairs

Explore the conjecture on moduli space of triples, unirational components, and toric variety covers. Discover generalizations of secondary fans and universal family constructions in algebraic geometry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

IMSA

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

QuantumTopology

Moduli Spaces of Flat Connections and Free Lie Algebras

Explore connections between moduli spaces of flat connections and free Lie algebras, delving into advanced mathematical concepts and their interrelationships.

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