Philip Hackney: Aspects of the homotopy theory of wheeled properads

Abstract: 

In this talk we discuss categories of (colored) wheeled properads over a suitable monoidal model category (e.g. simplicial sets, symmetric spectra, chain complexes over a characteristic zero field). These categories, with both fixed and varying color sets, admit Quillen model structures. In the latter case, this model structure is an extension of the known model structures on small enriched categories. It turns out that these model structures are not left proper, but they satisfy a weaker version. Finally, we discuss change of base category.