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Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Maxim Smirnov

Towards quantum cohomology of $\overline{M}_{0,n}$

Moduli spaces of stable curves with $n$ marked points
$\overline{M}_{g,n}$ play a central role in the Gromov-Witten theory and
in the theory of quantum cohomology. Yet the question what is the
quantum cohomology of  $\overline{M}_{g,n}$ itself is widely open. I
will speak about some partial results in this direction for
$\overline{M}_{0,n}$ based on a joint work with Yuri Manin.