Title: Bourgeois contact structures: tightness, fillability and applications
 
Abstract: Starting from a contact structure on an odd-dimensional manifold
together with a supporting open book, Bourgeois '02 constructed an explicit
contact structure on the product of the manifold with the 2-torus.  The first
objective of the talk is to recall such construction and present some new
results concerning its properties. Namely, in dimension 5 these contact
structures are always tight; moreover, if the original open book has page of
genus 0 and the resulting contact manifold is strongly fillable, then the
monodromy of the open book used in the construction needs to be in the
commutator subgroup of the mapping class group of the page. In the second
part of the talk, I will describe the main ideas behind the proof of the
fillability result.  Everything is joint work with Jonathan Bowden and Agustin
Moreno.