Zero cycles on moduli spaces of curves
Johannes Schmitt (Zürich)  Seminar Algebraic Geometry (SAG)
What 


When 
Dec 20, 2018 from 10:30 am to 11:30 am 
Where  Vivatsgasse 7, Hörsaal MPI 
Contact Name  Sachinidis 
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Tautological zero cycles form a onedimensional subspace of the set of
all algebraic zerocycles on the moduli space of stable curves. The full
group of zero cycles can in general be infinitedimensional, so not all
points of the moduli space will represent a tautological class. In the talk,
I will present geometric conditions ensuring that a pointed curve does
define a tautological point. On the other hand, given any point Q in the
moduli space we can find other points P_1, ..., P_m such that Q+P_1+ ... +
P_m is tautological. The necessary number m is uniformly bounded in terms of
g,n, but the question of its minimal value is open. This is joint work with
R. Pandharipande.