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Algebraic Geometry
Taiwan has a substantial research group in algebraic geometry and NCTS’s algebraic geometry group is responsible in coordinating and supporting research in this vast area.  Based on members’ expertise, the algebraic geometry group’s current main focuses are as follows:
 
Birational Geometry (Jung-Kai Chen,Jiun-Cheng Chen)
The minimal model program attempts to find canonical representatives for birational equivalence class of varieties.  In characteristic zero, the research program follows the foundation outlined by Reid, Shokurov, Kawamata, Kollar, Mori and others.  In positive characteristics, the main focus is the Frobenius morphism and the Serre vanishing theorem and their applications to the minimum model program.
 
Enumerative Geometry and Gromov-Witten theory (Wan-Keng Cheong)
The recently discovered Gromov-Witten invariants and their variants made solutions to many difficult curve-counting problems possible.  These invariants also give rise to a class of crepant resolution conjectures.  The algebraic group is active in this area.
 
Non-abelian cohomology and related theory (Wu-Yen Chuang,Zhu Eugene Xia)
The algebraic geometry group is active in the moduli spaces of sheaves and Higgs bundles and other related objects and representation varieties over curves and higher dimension varieties.
 
Conferences and Seminars
A major component of NCTS’s responsibility is to promote the exchange of ideas and research collaboration.  The algebraic geometry group routinely organizes conferences both local and international on topics of interest.  One may find these past events from NCTS’s main pages.  
The algebraic group also sponsors weekly regular and student seminars in universities across Taiwan.  The regular seminars focus on recent research advances in topics of importance while the student seminars attempts to introduce research topics and encourages graduate students to give presentations.
 

 

 
Events
2019/11/29
​Constructing Bounded Strong KLT Complements for Fano Pairs with α-invariants and Volumes Bounded Below Abstract: We show that fixed dimensional klt weak Fano pairs with alpha-invariants and volume...
 
 
Visitors
Wei-Chung Chen
University of Tokyo
November 20 - December 10, 2019
 
Jinhyung Park
Korea Institute for Advanced Study
parkjh13[AT]kias.re.kr
January 5 - 11, 2020
 
Jihun Park
CGP, Institute for Basic Science
wlog[AT]postech.ac.kr
February 16 - 22, 2020
 

 

 
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