University of Leicester

Friday 22nd November 2013

Venues indicated below. A campus map is here:

http://www2.le.ac.uk/

11:00 – 11:30
College House Study Room Ground Floor |
Tea, Coffee and Biscuits |

11:30 – 12:30 GP LRC George Porter Upper Ground Floor Lecture Theatre C |
Alex Clark (Leicester) Homotopy pro-groups in the classification of minimal sets of foliations Abstract: We will examine a natural class of minimal sets of foliations and the settings in which they arise. We will give a dynamical and topological characterisation of these minimal sets and examine how they can be usefully analysed with the aid of homotopy pro-groups. This leads to a topological classification of these minimal sets in certain cases. These considerations lead to a generalised Borel conjecture for those members of this class of spaces which are aspherical in a sense we will make precise. |

14:00 – 15:00 ATT LT3 Attenborough Basement |
Markus Szymik (Copenhagen) Homotopy coherent centres Abstract: In this talk, I will first motivate and define a homotopy coherent refinement of the usual notion of a centre of a category in contexts with an associated homotopy theory. Then, after presenting some basic properties, I will focus on calculations and examples, most of them based on joint work with W.G. Dwyer or E. Meir. |

15:00 – 16:00 ATT 206 Attenborough Second Floor LR 206 |
Tea, Coffee and Biscuits |

16:00 – 17:00 ATT LT3 Attenborough Basement Lecture Theatre 3 | Dorette Pronk (Dalhousie) Orbi Mapping Spaces Abstract: I will discuss the orbispace structure on a mapping space of orbispaces in terms of proper etale groupoids. It is relatively easy to give the mapping groupoid that represents the groupoid homomorphisms between two topological groupoids. But the situation for orbispaces is more complicated, because we work with generalized maps between groupoids and such maps are given by spans where the left-hand arrow is an essential equivalence. I will construct the groupoid that represents the mapping orbispace both from first principles and as a pseudo colimit of a diagram of groupoid mapping spaces. In the process I will show that the hom-categories in a bicategory of fractions can be viewed as pseudo colimits of certain categories of fractions. I will also present some concrete examples and if there is time I will show how the inertia orbifold of an orbifold can be viewed as a mapping space into that orbifold. This is joint work with Vesta Coufal, Carmen Rovi, Laura Scull and Courtney Thatcher. |

A group is likely to be going for drinks and an early dinner after the last talk - all are welcome to join.

Everyone who wishes to participate is welcome, particularly postgraduate students. The TTT reimburses travel expenses of participants from the three vertices. The claim forms are available from the main TTT page. NI numbers and details of UK bank accounts are needed.

To MIMS