PhD ColloquiumApril 5th 2017, 15:00–15:45Sky Lounge

An Introduction to Multicategories and Higher Categoriesby Hongyi Chu

Despite the seemingly abstract nature ofthe subject, higher categories have seenvarious applications in other mathemati-cal areas as well as mathematical physics.We will start off with the definition of cat-egories and introduce multicategories astheir natural generalization. We will seethat algebraic structures such as monoids,Lie algebras and even categories them-selves can be redefined by using the lan-guage of multicategories. Furtheremore,these structures even permit us to enrichcategories over another category. At theend of the talk I will show how higher cat-egories can be defined in this way.

Master Students, PhD Students, Postdocsand other members of the Faculty of

Mathematics are cordially invited!Organised by the Vienna Doctoral School of Mathematics.