From the Hartshorne Conjecture to the Minimal Model Program

Explore the mathematical journey from the Hartshorne Conjecture to the development of the Minimal Model Program in this 59-minute conference talk by renowned mathematician Shigefumi Mori at BIMSA's ICBS2025. Delve into the historical progression and key insights that led from Hartshorne's influential conjecture in algebraic geometry to Mori's groundbreaking work on the Minimal Model Program, which revolutionized the classification theory of algebraic varieties. Gain understanding of the fundamental concepts, breakthrough moments, and mathematical techniques that connected these two major developments in modern algebraic geometry, presented by one of the field's most distinguished contributors who played a pivotal role in establishing the theoretical framework that continues to shape contemporary research in birational geometry.