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2024-04-01Geometry Crossing SingularitiesTIMS 2024 Summer Program in Geometry
July 10 - 20, 2024
Room 202, 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 Calabi--Yau threefolds. The 2024 TIMS Summer Program aims to bring together scholars in related areas and provide an opportunity to exchange ideas and share insights. This year, 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. This summer program includes a summer school and a workshop; it will take place from 7/10 to 7/20 at National Taiwan University. -
2024-02-05Which graded algebras are realizable as the cohomology of the space?Donald Stanley (University of Regina, Canada)
2024-02-05 10:30 - 11:30
Room 202, Astronomy and Mathematics Building -
2023-12-07Flips and Flops IVSz-Sheng Wang (Academia Sinica)
2023-12-07 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-12-04Flips and Flops IIISz-Sheng Wang (Academia Sinica)
2023-12-04 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-30Flips and Flops IISz-Sheng Wang (Academia Sinica)
2023-11-30 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-27Flips and Flops ISz-Sheng Wang (Academia Sinica)
2023-11-27 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-23Classification of terminal 3-fold singularities IVSz-Sheng Wang (Academia Sinica)
2023-11-23 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-20Classification of terminal 3-fold singularities IIISz-Sheng Wang (Academia Sinica)
2023-11-20 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-16Classification of terminal 3-fold singularities IISz-Sheng Wang (Academia Sinica)
2023-11-16 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-13Classification of terminal 3-fold singularities ISz-Sheng Wang (Academia Sinica)
2023-11-13 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-09Canonical and terminal 3-fold singularities IVSz-Sheng Wang (Academia Sinica)
2023-11-09 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-06Canonical and terminal 3-fold singularities IIISz-Sheng Wang (Academia Sinica)
2023-11-06 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-11-02Canonical and terminal 3-fold singularities IISz-Sheng Wang (Academia Sinica)
2023-11-02 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-30Canonical and terminal 3-fold singularities ISz-Sheng Wang (Academia Sinica)
2023-10-30 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-26Surface singularities IVSz-Sheng Wang (Academia Sinica)
2023-10-26 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-23Surface singularities IIISz-Sheng Wang (Academia Sinica)
2023-10-23 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-19Surface singularities IISz-Sheng Wang (Academia Sinica)
2023-10-19 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-16Surface singularities ISz-Sheng Wang (Academia Sinica)
2023-10-16 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-12Cone theorem IIISz-Sheng Wang (Academia Sinica)
2023-10-12 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-05Cone theorem IISz-Sheng Wang (Academia Sinica)
2023-10-05 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-10-02Cone theorem ISz-Sheng Wang (Academia Sinica)
2023-10-02 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-28Singularities in the MMP IISz-Sheng Wang (Academia Sinica)
2023-09-28 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-25Singularities in the MMP ISz-Sheng Wang (Academia Sinica)
2023-09-25 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-21Vanishing theorem IISz-Sheng Wang (Academia Sinica)
2023-09-21 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-18Vanishing theorem ISz-Sheng Wang (Academia Sinica)
2023-09-18 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-14Existence of rational curves IISz-Sheng Wang (Academia Sinica)
2023-09-14 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-11Existence of rational curves ISz-Sheng Wang (Academia Sinica)
2023-09-11 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-07Cone of divisorsSz-Sheng Wang (Academia Sinica)
2023-09-07 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-09-04Motivation of the Mori programSz-Sheng Wang (Academia Sinica)
2023-09-04 10:20 - 12:10
Room 201, Astronomy and Mathematics Building -
2023-08-30TIMS 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 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, 1998Date: 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)