Interactions between Topology in High and Low Dimensions

Jan de Gier

  • 7 January 2019 - 18 January 2019
    8:00 am - 5:00 pm

Organisers: Jonathan Bowden (LMU Munich/Monash University), Diarmuid Crowley (University of Melbourne), Stefan Friedl (University of Regensburg), Stephan Tillmann (University of Sydney).

Program Description: The aim of this workshop is to bring together these different areas of research, in order to bring about new insights or methods in the study of manifolds. Our intent is to have a first day consisting of two or three talks giving an overview of the different areas,  followed by a session in which participants are invited to present open problems in their field that they feel would benefit from interaction with other areas. For instance, the realisation problem for the polytope invariants of Friedl and Lück is completely solved in dimensions at least 7, and not much is known in lower dimensions. To give another example: which classical invariants can be computed from trisections or their higher-dimensional generalisations?
The remaining part of the fi rst week will be devoted to tackling the open problems in groups, where we will encourage participants from different fi elds to collaborate with each other. We will also have a series of mini-courses aimed at graduate students during the first week. The second week will consist of more formal conference talks in the mornings with afternoons devoted to collaboration and knowledge transfer. We hope to have made progress on some of the problems by the end of this week, and to have established new links between the different groups present at the workshop.

Registration:

  • Deadline: 7 November 2018
  • Registration is by invitation only

ASSOCIATED EVENTS

MATRIX Wine and Cheese Afternoon 8 January 2019
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.