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Algebraic Geometry Seminar | The Kodaira dimension of the moduli space of curves: geometric and tropical aspects

来源: 12-01

时间:2023-12-1, FRIDAY 15:30-16:30

地点:Zoom Meeting ID: 455 260 1552 Passcode: YMSC;Tsinghua West Stepping Classroom 清华西阶梯教室

组织者:Caucher Birkar,曲三太, 陈炳仪

主讲人:Gavril Farkas Humboldt-Universität zu Berlin

Abstract:

It is one of the landmark results in algebraic geometry of the 20th century that the moduli space M_g of curves of genus g is a variety of general type when g>23. I will discuss joint work with Jensen and Payne proving that both moduli spaces M_22 and M_23 are of general type, highlighting both the geometrical and the novel tropical aspects related to this circle of ideas.


About the Speaker:

My field of work is algebraic geometry. A significant part of my research is concerned with the study of the geometry and topology of various moduli spaces. Among other things, I am interested in moduli of curves, enumerative geometry, syzygies of algebraic varieties and commutative algebra aspects, vector bundles on curves, abelian varieties and theta functions, Prym varieties, K3 surfaces and Brill-Noether type problems, geometric group theory and resonance varieties.

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