Speaker
Olaf Hohm
Description
I give a self-contained introduction into L-infinity algebras, the formulation of classical field theories in terms of these, and the
notion of homotopy transfer. One goal is to make it self-evident that L-infinity structures are the proper algebraic way to encode the data of classical field theories. In other words, any consistent field theory gives rise to an L-infinity algebra. A second goal is to illustrate that homotopy transfer is the algebraic formulation of the field theory procedure to ``integrate out" degrees of freedom, which may be auxiliary or physical, pure gauge or not.