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Abstracts for Seminar Algebraic Geometry (SAG)

Alternatively have a look at the program.

p-adic deformation of cycle classes

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Speaker: 
Moritz Kerz
Affiliation: 
Essen/Regensburg
Date: 
Thu, 2011-10-13 10:30 - 12:00
Location: 
MPIM Lecture Hall

Specialization of Néron-Severi groups of K3 surfaces

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Speaker: 
Francois Charles
Affiliation: 
Rennes, z.Z. Bonn
Date: 
Thu, 2011-10-27 10:30 - 12:00
Location: 
MPIM Lecture Hall

We discuss several questions related to the behaviour of the Néron-Severi groups of
K3 surfaces under specialization over function fields and number fields. Such topics have some implications for the existence of rational curves, along the lines of recent papers by Bogomolov-Hassett-Tschinkel and Li-Liedtke as well as for the computation of Picard numbers of K3 surfaces over number fields. 
 

Nonarchimedean analytification, tropicalization, and metrics on curves

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Speaker: 
Sam Payne
Affiliation: 
Yale / MPI
Date: 
Thu, 2011-11-03 10:30 - 12:00
Location: 
MPIM Lecture Hall

On Fano foliations

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Speaker: 
Stephane Druel
Affiliation: 
Grenoble
Date: 
Thu, 2011-11-17 10:30 - 12:00
Location: 
MPIM Lecture Hall

In this talk I shall discuss Fano foliations on complex projective manifolds (these are foliations whose anti-canonical class is ample). I will concentrate on the special class of Del Pezzo foliations with mild singularities. This a joint work with Carolina Araujo.

Sections of families of hypersurfaces of large degree

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Speaker: 
Christophe Mourougane
Affiliation: 
Rennes
Date: 
Thu, 2011-12-01 10:30 - 12:00
Location: 
MPIM Lecture Hall

As an answer to Mordell problem over function fields, Grauert and Manin showed that a non-isotrivial algebraic family of compact complex hyperbolic curves has finitely many
sections. We consider a generic moving enough family of high enough degree hypersurfaces
in a complex projective space. We show the existence of a strict closed subset of its total
space that contains the image of all its sections.

The Painlevé VI moduli spaces

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Speaker: 
Carlos Simpson
Affiliation: 
Nice, CNRS
Date: 
Thu, 2011-12-08 10:30 - 12:00
Location: 
MPIM Lecture Hall

The moduli spaces of initial conditions for Painlevé VI can be described fairly explicitly. We describe some aspects of the relationship between the de Rham and Hitchin moduli spaces. Then we point out that the behavior at infinity of the various correspondences can be understood, to a small extent, in light of the geometry.

Motivic decompositions of abelian schemes

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Speaker: 
Ben Moonen
Affiliation: 
Amsterdam
Date: 
Thu, 2011-12-15 10:30 - 12:00
Location: 
MPIM Lecture Hall

Motivic DT invariants of (0,-2) curves

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Speaker: 
Ben Davison
Affiliation: 
Oxford
Date: 
Thu, 2012-01-19 10:30 - 12:00
Location: 
MPIM Lecture Hall

Holomorphic Poisson manifolds and their deformations

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Speaker: 
Nigel Hitchin
Affiliation: 
Oxford
Date: 
Thu, 2012-01-26 16:30 - 17:30
Location: 
MPIM Lecture Hall
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