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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.

NCTS support Algebraic Geometry in East Asia Seminar officially, please check the link below for more information.



Complements and Special Valuations Abstract: In this talk, we will introduce the notion of complements and show the connection o...
Beta-invariant and Fujita-Li’s Valuative Criterion Abstract: We will introduce the proof of Fujita-Li’s theorem, which asserts that for a ...
2021 NCTS Workshop and Course on Higher Dimensional Algebraic Geometry Aim & Scope: Higher dimensional algebraic geometry has been an active and exciting resear...
NCTS Workshop on K-stability Aim & Scope: K-stability has attracted considerable attention in the current research of ...
Miranda Chih-Ning Cheng
Korteweg-de Vries Institute for Mathematics and Institute of Physics, University of Amsterdam
March 11 - December 31, 2020
Hsueh-Yung Lin
Kavli Institute for The Physics and Mathematics of The Universe
April 28, 2020 - January 6, 2021


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