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Abstracts for IMPRS seminar on various topics: operads

Alternatively have a look at the program.

Introduction to operads

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Speaker: 
Florian Kranhold
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-04-10 16:30 - 18:00
Location: 
MPIM Seminar Room

Model structure on the category of operads

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Speaker: 
Michael Stahlhauer
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-04-17 16:30 - 18:00
Location: 
MPIM Seminar Room

Homology of the little disks operad

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Speaker: 
Benjamin Ruppik
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-04-24 16:30 - 18:00
Location: 
MPIM Seminar Room

Formality of little disks operads

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Speaker: 
Danica Kosanovic
Zugehörigkeit: 
MPIM
Datum: 
Die, 2019-04-30 10:15 - 11:45
Location: 
MPIM Seminar Room

In this talk we explain what it means for an operad to be formal, sketch the proof of formality of little disks operads using Kontsevich graph complexes
and mention some consequences.

Formality of little disks operad II

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Speaker: 
Bertram Arnold
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-05-08 16:30 - 18:00
Location: 
MPIM Seminar Room

Operadic Bar-Cobar Adjunction

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Speaker: 
Lory Aintablian-Kadiyan
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-05-15 16:30 - 18:00
Location: 
MPIM Seminar Room

Given a dg operad P and a dg cooperad C, we first explain how to equip Hom(C,P) with a dg (pre-)Lie algebra structure.
We then construct the operadic bar and cobar functors between the categories of augmented dg operads and coaugmented
conilpotent dg cooperads and show that they define an adjunction, which is precisely given by the Maurer-Cartan elements
of Hom(C,P).

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