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Feynman categories

Presented by: 
R Kaufmann Purdue University
Date: 
Thursday 21st March 2013 - 14:00 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
There is a plethora of operad type structures and constructions which arise naturally in classical and quantum contexts such as operations on cochains, string topology or Gromov-Witten invariants.

We give a categorical framework which allows us to handle all these different beasts in one simple fashion. For instance operads, cyclic operads, modular operads, and other new types. In the enriched case, this also covers twisted modular operads, giving a natural description of hyper-operads. In this context, many of the relevant constructions are simply Kan extensions.

We are also able to show how in this framework bar constructions, Feynman transforms, master and BV equations appear naturally

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University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons