國家理論科學研究中心數學組 | 台大-國家理論科學研究中心數學組

B. Algebraic Geometry

Program Committee:
Jheng-Jie Chen (NCU), Adeel Khan (AS), Ching-Jui Lai (NCKU, committee chair), Hsueh-Yung Lin (NTU)

Description of program:
Algebraic geometry studies the geometry of algebraic and analytic objects and it has been a core area of the modern mathematics for more than a century. Today it remains a very active area in mathematics and related fields with many of its techniques, notions, and methods having important applications in number theory, differential geometry, physics, and even in statistics and data analysis. Research areas of the Algebraic Geometry group at the NCTS include birational geometry, generalized Hodge theory, linear systems and positivity, instantons and quiver varieties, analytical methods and algebraic and complex geometry, topology and geometry of moduli spaces, and nonabelian cohomology. More detailed description of each topic is given below.

Affiliated members:
Jheng-Jie Chen (NCU), Shin-Yao Jow (NTHU), Frank Liou (NCKU), Chih-Chung Liu (NCKU), Zhu Eugene Xia (NCKU), Kuan-Wen Lai (THU)

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