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Abstracts for IMPRS seminar on various topics: Gamma-spaces and partial abelian monoids

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Partial abelian monoids

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Speaker: 
Bastiaan Cnossen
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-10-09 16:30 - 18:30
Location: 
MPIM Seminar Room
This talk is the first in a series of three talks about Gamma-spaces, partial abelian monoids and Segal-spaces. 

The topic of this talk is the category of partial abelian monoids: based topological spaces with a partially defined addition.

Γ-spaces, PAMs, homology theories and operads

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Speaker: 
Florian Kranhold
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-10-16 16:15 - 17:45
Location: 
MPIM Seminar Room

The main goal of the talk is to see how partial abelian monoids give
rise to spectra and homology theories. The classical approach uses
Γ-spaces, so we will discuss the connection between them and PAMs. It
turns out that there is also a strong relation to the tensor product of
PAMs from the first talk. Moreover, we have already seen that the little
n-cubes give rise to a PAM-ring. This idea will be generalised for an
arbitrary operad, using the language of Γ-spaces.

Splitting theorems for configuration spaces

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Speaker: 
Tashi Walde
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-10-23 16:15 - 17:45
Location: 
MPIM Seminar Room
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