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Abstracts for Oberseminar Differentialgeometrie

Alternatively have a look at the program.

Transformation of surfaces and their applications to spectral theory

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Speaker: 
Iskander Taimanov
Affiliation: 
Inst. of Math. of Russian Acad. of Science
Date: 
Thu, 2010-01-14 16:30 - 17:30
Location: 
MPIM Lecture Hall

Isometric Circle Actions on Positively Curved 4-Manifolds

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Speaker: 
Grove Karsten
Date: 
Thu, 2010-01-21 16:30 - 17:30
Location: 
MPIM Lecture Hall

Entropy-rigidity of convex cocompact manifolds

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Speaker: 
Samuel Tapie
Date: 
Thu, 2010-01-28 16:30 - 17:30
Location: 
MPIM Lecture Hall

Triangulation and volume form on moduli space of flat surfaces

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Speaker: 
Duc-Manh Nguyen
Affiliation: 
U Paris Sud Orsay / MPI
Date: 
Thu, 2010-02-04 16:30 - 17:30
Location: 
MPIM Lecture Hall

Reeb dynamics, holomorphic discs, and the 4-ball

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Speaker: 
Kai Zehmisch
Date: 
Thu, 2010-11-04 16:30 - 17:30
Location: 
MPIM Lecture Hall

This is joint work with Hansjörg Geiges. Extending our work on Cerf's theorem we apply our moduli-theoretic version of Eliashberg-Hofer's filling-with-holomorphic-discs method to symplectic manifolds with cylindrical ends. Is the tight 3-sphere one of its positive ends we obtain existence results for contractible closed Reeb orbits, filling obstructions, and non-existence results for Liouville cobordisms.

Stochastic completeness and volume growth

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Speaker: 
Christian Bär
Date: 
Thu, 2010-11-11 16:30 - 17:30
Location: 
MPIM Lecture Hall

Spectrally rigid subsets of free groups

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Speaker: 
Ilya Kapovich
Affiliation: 
U of Illinois at Urbana-Champaign/MPI
Date: 
Thu, 2010-11-25 16:30 - 17:30
Location: 
MPIM Lecture Hall

Generating pairs of solvable groups

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Speaker: 
Luc Guyot
Affiliation: 
Göttingen/MPI
Date: 
Thu, 2010-12-16 16:30 - 17:30
Location: 
MPIM Lecture Hall

Any two basis of a finite dimensional vector space are related by a finite sequence of moves, namely the elementary moves of the  Gauss elimination process. Nielsen transfomations are group-theoretic analogs of Gauss's moves. A group may however possess unrelated generating n-tuples. Considering the case n=2, I will explain how to compute a complete set of invariants for the induced Nielsen equivalence relation in a class of abelian-by-cyclic groups.

On Teichmuller spaces for surfaces of infinite type

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Speaker: 
Daniele Alessandrini
Date: 
Thu, 2011-01-13 16:30 - 17:30
Location: 
MPIM Lecture Hall

Teichmuller spaces for surfaces of infinite type can be studied with geometric techniques, like the pair of pants decomposition and and Fenchel-Nielsen coordinates. In this case we have countably infinitely many pairs-of-pants and coordinates. With these techniques we can describe, under certain hypotheses, the topology given by the Teichmuller distance and the topology given by the "length spectrum" distance.

Infinitesimal rigidity of surfaces and manifolds and the Hilbert-Einstein functional

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Speaker: 
Ivan Izmestiev
Date: 
Thu, 2011-01-27 16:30 - 17:30
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