
20240401Geometry Crossing SingularitiesTIMS 2024 Summer Program in Geometry
July 10  20, 2024
R202, Astronomy Mathematics Bldg., NTU
Aim & ScopeSingularity appears in numerous branches of mathematics and physics; it provides information to bridge two different models as well as geometry on them. One of the most important examples is the conifold transition, where the singularities are ordinary double points, and it plays a vital role in understanding the moduli spaces of CalabiYau threefolds. The summer program aims to bring together scholars in related areas and provide an opportunity to exchange ideas and insights. We will be focusing on recent developments of differential geometry, algebraic geometry, as well as quantum geometry related to conifold transitions and beyond, from both mathematical and physical aspects. There will be a summer school followed by a workshop. 
20240205Which graded algebras are realizable as the cohomology of the space?Donald Stanley (University of Regina, Canada)
20240205 10:30  11:30
Room 202, Astronomy and Mathematics Building 
20231207Flips and Flops IVSzSheng Wang (Academia Sinica)
20231207 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231204Flips and Flops IIISzSheng Wang (Academia Sinica)
20231204 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231130Flips and Flops IISzSheng Wang (Academia Sinica)
20231130 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231127Flips and Flops ISzSheng Wang (Academia Sinica)
20231127 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231123Classification of terminal 3fold singularities IVSzSheng Wang (Academia Sinica)
20231123 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231120Classification of terminal 3fold singularities IIISzSheng Wang (Academia Sinica)
20231120 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231116Classification of terminal 3fold singularities IISzSheng Wang (Academia Sinica)
20231116 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231113Classification of terminal 3fold singularities ISzSheng Wang (Academia Sinica)
20231113 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231109Canonical and terminal 3fold singularities IVSzSheng Wang (Academia Sinica)
20231109 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231106Canonical and terminal 3fold singularities IIISzSheng Wang (Academia Sinica)
20231106 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231102Canonical and terminal 3fold singularities IISzSheng Wang (Academia Sinica)
20231102 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231030Canonical and terminal 3fold singularities ISzSheng Wang (Academia Sinica)
20231030 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231026Surface singularities IVSzSheng Wang (Academia Sinica)
20231026 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231023Surface singularities IIISzSheng Wang (Academia Sinica)
20231023 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231019Surface singularities IISzSheng Wang (Academia Sinica)
20231019 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231016Surface singularities ISzSheng Wang (Academia Sinica)
20231016 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231012Cone theorem IIISzSheng Wang (Academia Sinica)
20231012 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231005Cone theorem IISzSheng Wang (Academia Sinica)
20231005 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20231002Cone theorem ISzSheng Wang (Academia Sinica)
20231002 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230928Singularities in the MMP IISzSheng Wang (Academia Sinica)
20230928 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230925Singularities in the MMP ISzSheng Wang (Academia Sinica)
20230925 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230921Vanishing theorem IISzSheng Wang (Academia Sinica)
20230921 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230918Vanishing theorem ISzSheng Wang (Academia Sinica)
20230918 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230914Existence of rational curves IISzSheng Wang (Academia Sinica)
20230914 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230911Existence of rational curves ISzSheng Wang (Academia Sinica)
20230911 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230907Cone of divisorsSzSheng Wang (Academia Sinica)
20230907 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230904Motivation of the Mori programSzSheng Wang (Academia Sinica)
20230904 10:20  12:10
Room 201, Astronomy and Mathematics Building 
20230830TIMS Lectures Series in Algebraic Geometry (Sep. 4  Dec. 15, 2023)Introduction to the Minimal Model Program and SingularitiesCourse Description
This course will introduce the Minimal Model Program (MMP), including singularities in MMP and the cone theorem. We will also study 3dimensional 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 3fold canonical singularities
• Classification of 3fold terminal singularities
• Existence of 3fold 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, 1998Date: Every Monday and Thursday
Sep. 4 ~ Dec. 15, 2023
Time: 10 : 20 ~ 12 : 10
Place: Room 201 (AstroMath Building 2F, NTU)
Speaker: SzSheng Wang (Academia Sinica)