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Moduli of curves and K-stability

Junyan Zhao (UIC)
Tuesday, January 9, 2024 - 1:45pm
PDL C-38
Pretalk title: Geometry of moduli of curves
Abstract: I will introduce some basics concerning moduli spaces of algebraic curves. In particular, I will compute some examples for small genus cases.
Talk title: Moduli of curves and K-stability
Abstract: In this talk, I will explore various compactifications of moduli spaces of genus six curves, delving into their intricate interactions. A key ingredient is the K-moduli spaces of log Fano pairs. The intricate wall crossing structure not only yields novel compactifications but also plays a pivotal role in understanding the Hassett-Keel program of moduli spaces of curves.
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