Minimal Model Program Courses and Certifications

BIMSA

From the Hartshorne Conjecture to the Minimal Model Program

Explore Shigefumi Mori's groundbreaking journey from solving the Hartshorne Conjecture to developing the revolutionary Minimal Model Program in algebraic geometry.

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

BIMSA

The Minimal Model Program for Kähler Threefolds

Explore the minimal model program for Kähler threefolds through advanced algebraic geometry techniques and their geometric applications.

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

Centre International de Rencontres Mathématiques

An Introduction to the Minimal Model Program for Foliations - Lecture 1

Explore the Minimal Model Program for foliations, starting with surface foliations and advancing to higher dimensional projective varieties, with focus on rank one, co-rank one, and algebraically integrable foliations.

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

Simons Foundation

Boundedness in General Type MMP

Explore boundedness properties in the Minimal Model Program for varieties of general type through advanced algebraic geometry techniques and recent developments.

• YouTube
• 56 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

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

Kyoto-U OCW - Unofficial

The Minimal Model Program for Varieties of Log General Type - Lecture 3

Delve into advanced birational geometry and minimal model program concepts with Distinguished Professor Christopher Hacon, exploring complex projective varieties and canonical ring theory.

• YouTube
• 1 hour 52 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

Centre International de Rencontres Mathématiques

An Introduction to the Minimal Model Program for Foliations - Lecture 3

Delve into the Minimal Model Program for foliations in this third lecture, exploring recent developments in rank one, co-rank one, and algebraically integrable foliations, plus adjoint foliated structures.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

An Introduction to the Minimal Model Program for Foliations - Lecture 2

Delve into the Minimal Model Program for foliations, exploring recent developments in rank one, co-rank one, and algebraically integrable foliations, with insights on adjoint foliated structures.

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

Fields Institute

The Log Minimal Model Program for Excellent Threefolds

Explore the intricacies of excellent threefolds and their log minimal model program in this advanced mathematical lecture by Joe Waldron from Michigan State University.

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

Fields Institute

Central Models

Explore central models in algebraic geometry with Vyacheslav Shokurov. Gain insights into this advanced mathematical concept and its applications in modern research.

• YouTube
• 1 hour 2 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

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

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