Winter Term 2014/2015
Description
In this seminar we treat current research problems in discrete and computational geometry that can be approached using methods from algebraic topology. The aim of the seminar is to make advances in research and introduce students to potential research topics.
Speakers
All seminars will take place the seminar room in the Villa, Arnimallee 2, 14195 Berlin.
| Speaker | Date | Time | Title and Abstract |
|---|---|---|---|
| Aldo Guzmán Sáenz | Oct 22, 2014 | 5 PM | Title: The cohomology ring away from 2 of F(RP^n,k). Abstract: In this talk we present a computation of the cohomology ring of the configuration space of k ordered points in the n-th dimensional real projective space. The strategy used for this computation allows us to compute the cohomology ring of ordered configurations in the punctured n-th dimensional real projective space. |
| Oct 29, 2014 | 5 PM | Title: On the homology of Sullivan Diagrams. A bstract: In string topology one studies the algebraic structures of the chains of the free loop space of a manifold by defining operations on them. Recent results show that these operations are parametrized by certain graph complexes that compute the homology of compatifications of the Moduli space of Riemann surfaces. Finding non-trivial homology classes of these compactifications is related to finding non-trivial string operations. However, the homology of these complexes is largely unknown. In this talk I will describe one of these complexes: the chain complex of Sullivan diagrams. In the genus zero case, I'll give a reinterpretation of it in terms of weighted partitions, give some computational results, and if time permits, I'll describe work in progress that suggests that these are highly connected. This talk is based on joint work with F. Lutz. |
Organizers
| Contact | |
| Pavle Blagojević | blagojevic(at)math.fu-berlin.de |
| Günter M. Ziegler | ziegler(at)math.fu-berlin.de |
