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TIMS Lectures Series in Algebraic Geometry (Sep. 4 - Dec. 15, 2023)

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Introduction to the Minimal Model Program and Singularities

Course Description
This course will introduce the Minimal Model Program (MMP), including singularities in MMP and the cone theorem. We will also study 3-dimensional terminal and canonical singularities in more details. Topics will include:
• Mori’s existence theorem of rational cuves
• Singularities in MMP
• Cone theorems
• Elliptic surface singularities and 3-fold canonical singularities
• Classification of 3-fold terminal singularities
• Existence of 3-fold flips (after Shokurov)

Course Objectives
The goal of this course is to provide general knowledge and skills in
birational geometry.

Prerequisites
Knowledge of algebraic geometry is required:
• R. Hartshornes, Algebraic Geometry
• A. Beauville, Complex algebraic surfaces
Preliminary knowledge of the theory of deformation will be very helpful.

Textbook
J. Kollar and S. Mori, Birational Geometry of Algebraic Varieties, 1998

Date: Every Monday and Thursday
Sep. 4 ~ Dec. 15, 2023
Time: 10 : 20 ~ 12 : 10
Place: Room 201 (Astro-Math Building 2F, NTU)
Speaker: Sz-Sheng Wang (Academia Sinica)

TIMS Lectures Series in Algebraic Geometry (Sep. 4 - Dec. 15, 2023)