比利时vs摩洛哥足彩
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university of california san diego
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math 208 - algebraic geometry seminar
johannes schmitt
university of z\"urich"
strata of k-differentials and double ramification cycles
abstract:
the moduli space of stable curves parameterizes tuples $(c,p_1,...,p_n)$ of a compact, complex curve $c$ together with distinct marked points $p_1,\dots, p_n$. inside this moduli space, there are natural subsets, called the strata of $k$-differentials, defined by the condition that there exists a meromorphic $k$-differential on $c$ with zeros and poles of some fixed multiplicities at the points $p_i$. i will discuss basic properties of these strata and explain a conjecture relating their fundamental class to the so-called double ramification cycles on the moduli space. i explain the idea of the proof of this conjecture and some ongoing work with costantini and sauvaget on how to use this relation to compute intersection numbers of the strata with $\psi$-classes on the moduli of curves.
host: dragos oprea
october 8, 2021
10:30 am
contact samir canning at srcannin@ucsd.edu for zoom details.
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