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比利时vs摩洛哥足彩 ,
university of california san diego

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math 208 - algebraic geometry

kristin devleming

ucsd

wall crossing for k-moduli spaces of plane curves

abstract:

i will discuss compactifications of the moduli space of smooth plane curves of degree d at least 4. we will regard a plane curve as a log fano pair $(\mathbb{p}^2,ac)$, where a is a rational number, and study the compactifications coming from k stability for general log fano pairs. we establish a wall crossing framework to study these spaces as a varies and show that, when a is small, the moduli space coming from k stability is isomorphic to the git moduli space. we describe all wall crossings for degree 4, 5, and 6 plane curves and discuss the picture for general q-gorenstein smoothable log fano pairs. this is joint work with kenneth ascher and yuchen liu.

host: james mckernan

january 24, 2020

3:00 pm

ap&m 7321

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