Minimal Model Program Courses and Certifications

Joint Mathematics Meetings

Understanding and Measuring Singularities in Algebraic Geometry

Explore algebraic geometry, focusing on singularities, smoothness, and resolution. Delve into key concepts like algebraic varieties, coordinate rings, and the Minimal Model Program.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

International Mathematical Union

Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program

Explore recent developments in 3D minimal model program, covering basic operations, terminal singularities, classification strategies, and effective boundedness of Q-Fano 3-folds.

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

ICTP Mathematics

Symmetries in Algebraic Geometry and the Cremona Group

Explore symmetries in algebraic geometry, focusing on automorphisms and birational self-maps of projective varieties. Delve into the Cremona group and its subgroups, with insights from recent research.

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

IMSA

K-Stability of Fano Varieties

Explores K-stability of Fano varieties, connecting complex geometry and algebraic geometry. Discusses recent developments, including solved conjectures and the construction of a moduli space for Fano varieties.

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

Fields Institute

The Singularities of the Minimal Model Program in Positive Characteristic

Explore singularities in positive characteristic Minimal Model Program, examining their unique properties and implications for algebraic geometry research.

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

Hausdorff Center for Mathematics

Osamu Fujino- Minimal Model Program for Projective Morphisms Between Complex Analytic Spaces

Explore advanced algebraic geometry concepts, focusing on minimal model program for projective morphisms between complex analytic spaces, extending results to new contexts.

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

IMSA

Dispatches from the Ends of the Stability Manifold - Part II

Explores noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discusses augmented stability conditions and their potential implications for moduli spaces.

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

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 4

Exploración de la estructura del espacio de condiciones de estabilidad aumentadas y sus implicaciones para la teoría de categorías derivadas y geometría algebraica.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 3

Exploración de condiciones de estabilidad aumentadas y descomposiciones multiescala en categorías trianguladas, con aplicaciones a la geometría algebraica y teoría de cuerdas.

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

IMSA

The KSBA Moduli Space of Log Calabi-Yau Surfaces - Part 1

Explore the KSBA moduli space of log Calabi-Yau surfaces, delving into its properties, conjectures, and recent developments in algebraic geometry and mirror symmetry.

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

Applied Algebraic Topology Network

Machine Learning Detects Terminal Singularities in Q-Fano Varieties

Explore machine learning applications in algebraic geometry, focusing on Q-Fano varieties and terminal singularities. Learn about new combinatorial criteria and insights into higher-dimensional Q-Fano varieties.

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

M-Seminar, Kansas State University

The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

Explora el espacio modular KSBA de superficies log Calabi-Yau estables, su generalización de curvas a dimensiones superiores y la conjetura de Hacking-Keel-Yu sobre su estructura tórica.

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

BIMSA

Threefold Divisorial Contraction to Curves

Exploración de contracciones divisoriales trifold a curvas, su clasificación y posibles extensiones a dimensiones superiores. Trabajo conjunto en progreso con Jheng-Jie Chen y Hsin-Ku Chen.

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