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Speaker:

Johannes Schmitt
Affiliation:

Zürich
Date:

Thu, 2018-12-20 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Seminar Algebraic Geometry (SAG) Tautological zero cycles form a one-dimensional subspace of the set of

all algebraic zero-cycles on the moduli space of stable curves. The full

group of zero cycles can in general be infinite-dimensional, 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.

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