January 20 ~ 21, 2025
O301 (三樓會議室), Dept. of Mathematics, NCKU

First week: January 6 ~ 7, 2025, Room 101, Astro-Math Building, NTU
Second week: January 20 ~ 21, 2025, O301 (三樓會議室), Dept. of Mathematics, NCKU
Lecture notes

2024 TIMS Program in Geometry
Every Monday, Sep. 2 - Oct. 28, 2024
Room 201, Astronomy Mathematics Bldg., NTU

June 17 - July 4, 2024
Room 202 & 101, Astronomy Mathematics Bldg., NTU 

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)

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)

臺大數學科學中心將於8月23日(星期三)舉辦一個關於代數幾何經驗傳承的特別活動，邀請過去與現在曾於中心擔任研究助理並從事相關研究的夥伴參加。活動有兩個部分：第一部分9:00 ~ 11:00由目前5位年輕的研究生報告他們最近的工作， 每一個報告包含15分鐘的pdf presentation以及5分鐘問答。第二部分11:30 ~ 14:00是午餐座談會，由6位目前任職於國內外研究機構並且於暑期造訪臺大的學者與大家分享他們的研究歷程，最後是分組座談。Part I: 9:00 - 11:00
李雙言 (NTU) p-adic norm and K-equivalence
吳博生 (NTU) New results on Lame equation with unitary monodromy
莊秉勳 (NTU) On the periods of twisted moments of the Kloosterman connection
莊家華 (NTU) Correspondence under simplicial toric flops
陳宗震 (NTU) Toric fiber product under flopsPart II: 11:30 - 14:00 經驗傳承座談會
王賜聖 (Academia Sinica)
李宗儒 (CMSA, Harvard and National Cheng-Kung U.)
范祐維 (Tsinghua U., Beijing)
許綺云 (Université de Lille and Santa Clara U.)
周祐正 (Academia Sinica)
賴冠文 (U. of Bonn and Academia Sinica)日期：2023年8月23日 (星期三)
時間：9:00 ~ 14:00
地點：Room 519 (Astro-Math Building, NTU)
主辦人：王金龍 (NTU, TIMS)、林惠雯 (NTU)

Time: October 30, 2013 - December 30, 2022
Room 201 / 202, Astronomy and Mathematics Building
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Chin-Lung Wang ( National Taiwan University )
Jeng-Daw Yu ( National Taiwan University )

The main goal of this program is to study the Scheme theory which is the foundation for modern algebraic geometry and the Cohomology theory which is the major technique to define numerical invariants.The audiences have to be equipped with the background on Chapter I and Chapter II (2.1~2.7) of the book “R. Hartshorne: Algebraic Geometry”.Contents:
1. Intrinsic geometry:
    1.1 Sheaves of differential: algebraic version of differential forms
    1.2 Formal schemes: they carry information about all the infinitesimal neighborhoods.
2. Cohomology theory:
    We intend to define it by using derived functors and to compute it by introducing Cech cohomology. We also show some important vanishing theorems and combine them with Serre duality to give some applications in flat family、smooth family, including Zariski’s main theorem and base change theorem of cohomology.Speakers: 陳宗震、郭婷婷、張茗遠、許嘉麟、莊家華Date: June 23 - September 1, 2022Time: Every Tuesday and Thursday, 14:00 - 16:00Venue: Room 201, Astro-Math Building, NTUOrganizer: Prof. Hui-Wen Lin (Dept. of Mathematics, NTU & TIMS)

Time: September 18, 2015- March 29, 2019 
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.) 
Organizers:
Liang-Chung Hsia ( National Taiwan Normal University )
Julie Tzu-Yueh Wang ( Academia Sinica )
Jing Yu ( National Taiwan University & Taida Institute for Mathematical Sciences )

Time: September 15, 2017 - January 12, 2018
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Liang-Chung Hsia ( National Taiwan Normal University )
Julie Tzu-Yueh Wang ( Academia Sinica )
Jing Yu ( National Taiwan University & Taida Institute for Mathematical Sciences ),

Time: February 15 - June 28, 2017
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Chen-Yu Chi ( National Taiwan University )
Yuan-Pin Lee ( University of Utah, USA )
Hui-Wen Lin ( National Taiwan University )
Chin-Lung Wang ( National Taiwan University )
Jeng-Daw Yu ( National Taiwan University )

Time: January 2, 2013 - December 19, 2016
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Room 304, Mathematics Research Center Building (ori. New Math. Bldg.)
Room 430, Astronomy and Mathematics Building
Organizers: Weichung Wang ( National Taiwan University )

Time: September 14, 2009 - June 30, 2010
Room 405, Mathematics Research Center Building (ori. New Math. Bldg.) 
Room 504 , Freshman Classroom Building
Organizers:
Hung Chen ( National Taiwan University )
Chin-Tsang Chiang ( National Taiwan University )

Time: March 13, 2015 - December 7, 2016
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers:
Chen-Yu Chi ( National Taiwan University )
Hui-Wen Lin ( National Taiwan University )
Chin-Lung Wang ( National Taiwan University )

Time: 10:30 - 11:30, March 4 - June 20, 2016
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizer: Jing Yu ( National Taiwan University & Taida Institute for Mathematical Sciences )

Samuel Kou
2014-07-03
16:00:00 - 17:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Tai-Peng Tsai
2014-04-08, 16, 23 & 05-07, 14, 21; 2013-11-05, 12, 19, 26; 2013-09-10, 09-24, 10-01, 08, 15, 29
09:30:00 - 11:30:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)

October 30, 2013 - April 30, 2018
103, Mathematics Research Center Building (ori. New Math. Bldg.)
Organizers: Prof. Chin-Lung Wang  ( Department of Mathematics, National Taiwan University )
                    Prof. Jing Yu ( Dept. of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences )

Tai-Peng Tsai
2013-10-01
09:10:00 - 12:00:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chin-Lung Wang
2012-05-30, 06-01
09:30:00 - 11:30:00
103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin
2012-02-02, 09, 15, 22, 29; 03-14, 21, 28
09:30:00 - 12:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Sz-Sheng Wang
2011-11-21
12:15:00 - 13:30:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ting-Hui Chang 2010-10-12
14:00:00 - 15:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chih-Yun Chuang 2010-10-08
12:30:00 - 13:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Michiaki Onodera 2010-10-07
14:00:00 - 15:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Kuo-Wei Lee 2010-10-05
14:00:00 - 15:00:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Wu-Yen Chuang 2010-10-01
13:30:00 - 15:00:00 103 , Old Mathematics Building

Yen-Liang Kuan 2010-10-01
12:30:00 - 13:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Fu-Tsun Wei 2010-10-01
10:30:00 - 11:30:00 308 , Mathematics Research Center Building (ori. New Math. Bldg.)