Event

Talk
Feynman categories
Prof. Dr. Ralph Kaufmann (Purdue University Indiana)
6 Jul 2015, 14:30 – 15:30

Feynman categories provide a unified framework for operad-like structures arising in geometry, topology and physics.
Besides being the right arena in which to study common aspects, they provide a host of constructions relevant for perturbation and deformation theory. In this realm (quantum) master equations and BV operators appear naturally.
Lastly there are secondary structures, such as universal operations, which explain the ubiquity of (pre)-Lie algebras.
There are also new surprising structures arising in this context such as Hopf algebras. Examples are those of Goncharov
related to iterated integrals and multi-zeta values and that of Connes-Kreimer in renormalization.
We will give a survey of these aspects and provide examples.