**13:00 to 14:00****14:30 to 15:30****16:00 to 17:00**

Vikki Quigley (University of Sheffield)

**Graded K-theory and analytic assembly**

Much of the early development of operator K-theory uses C*-algebras which are equipped with a grading. In this case, it is possible to present a theory which works equally well for complex and real C*-algebras. In this talk I will introduce the idea of graded K-theory, and explain how important properties, such as Bott periodicity, are very simple to prove in this setting. In the second part of the talk I will give a possible application of this theory to the study of manifolds of positive scalar curvature.

El-Kaioum Mohamed Moutuou (University of Southampton)

**Fell bundles over 2-groupoids**

Fell bundles over groupoids were introduced by Kumjian; they can be thought of as groupoid actions by Hilbert bimodules on C*-algebras. In fact, C*-algebras and Hilbert bimodules form a nice weak (2,1)-category that allows a natural generalisation of Fell bundles for 2-groupoids. In this talk I will outline a few basics of 2-category theory with special emphasis on the 2-category of C*-algebras, and introduce in a functorial way Fell bundles for 2-groupoids. (This is ongoing joint work with Ralf Meyer)

Otogo Uuye (University of Cardiff)

**The Fubini product of operator spaces**

The interplay between geometric group theory and functional analysis is an immensely rich subject. In this talk, we give a gentle introduction a particularly useful functional analytical device called the Fubini product and look at its application to the approximation property of groups.