Contact Structures, Laminations and Foliations
Branched surfaces courtesy of Colin-Honda-Giroux.
The Workshop will take place 5-9 September 2016 at the Mathematical Institute of the LMU in Munich.
Some funding is available for young researchers and PhD-students.
Please register before 30 June by sending an email to tvogel (at) math (dot) lmu (dot) de and please indicate whether you would like to apply for funding or not.
Foliations, laminations and branched surfaces are nicely origanized collections of immersed surfaces in 3-manifolds. While laminations can be viewed as partial foliations, branched surfaces consist of pieces of embedded surfaces which intersect each other in a very specific way.
Both notions have recently seen interesting applications and their has been considerable progress in the understanding of their interplay. Among these results are:
Due their properties and the way they arise, the study of foliations and laminations has dynamical aspects related for example to the smoothness of a lamination.
In this workshop we plan to introduce these notions and discuss some of the appliactions mentioned above.
- Branched surfaces arise in the proof of the fact that closed atoroidal 3-manifolds admit only finitely many tight contact structures up to isotopy (Colin-Giroux-Honda)
- Essential laminations reflect topological properties of the underlying manifold in a similar way as taut foliations do, in particular due to the universal circle construction and the close relationship with pseudo-Anosov flows. (Thurston, Calegari-Dunfield)
- Essential laminations can be constructed from particular branched surfaces. (Li)
- The most prominent - not so recent - recent application is in the compactification of Teichmüller space by Thurston.
How to get here
From the airport it is easiest to take the s-Bahn (S1 or S8). Both travel into the city and their direction is unique. There are ticket machines on the platform at the station or next to the Deutsche Bahn (DB) Service Desk. To get to the math department change to the 27 Tram at Karlsplatz Stachus going to Petuelring (see this map). Or if the weather is nice you may just want to walk.
From the main train station (Hauptbahnhof) either walk to Karlsplatz Stachus and take the tram, take the 100 Bus to the stop Pinakotheken (see this map) or take a (15-20 Minute) walk.
Unless you are a speaker we kindly ask you to organise hotel accomodations independently. A (non-exhaustive) list of possible hotel can be found here.
Possibilities for lunch
Here is a map showing some of the restaurants and cafes near the maths department.