Workshop on Metric Geometry, Analysis and Probability

This workshop will create a setting in which established and early-career researchers in metric geometry, analysis and probability can exchange ideas across closely related areas of research that are often pursued in separate communities. By bringing these groups together in person, the workshop will help participants identify common problems, share recent advances, and develop research questions for future collaboration.

The workshop will focus on topics which include:

•    Alexandrov spaces
•    Gromov-Hausdorff convergence
•    Manifolds with lower curvature bounds
•    Metric measure spaces
•    RCD spaces
•    Sub-Riemannian geometry
•    Lorentzian geometry
•    Geometric PDEs

In particular, the workshop fits neatly within the frameworks of the UK Metric Geometry and Analysis Network and the COST action multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments.  

Confirmed Speakers

•    Samuël Borza (University of Vienna)
•    Mauricio Che Moguel (University of Vienna)
•    Tadashi Fujioka (Fukuoka University)
•    Katie Gittins (Durham University)
•    John Harvey (Cardiff University)
•    Xiang-Dong Li (Chinese Academy of Sciences, Beijing)
•    Shouhei Honda (University of Tokyo)
•    Shin-Ichi Ohta (Osaka University)
•    Lewis Tadman (Durham University)
•    Asuka Takatsu (University of Tokyo)
•    Kenshiro Tashiro (Okinawa Institute of Science and Technology)
•    Simone Vincini (University of Vienna)

Programme

Below is a tentative overview of the schedule for the week.  The full programme, including titles and abstracts, can be found here.

Organisers

•    Fernando Galaz-García (Durham University)
•    Martin Kerin (Durham University)
•    Amaranta Membrillo Solis (Queen Mary University of London)
•    Kohei Suzuki (Durham University)

Arrival Information

The nearest train station is Durham (DHM), which is 10-15 minutes from the centre of the city.

All talks will take place in the Chemistry building, which is about 20-25 minutes away from the city centre on foot.  

Here's a map showing the Chemistry building to the south of the city centre, and the train station to the north on the west of the river.

On-campus Accommodation

We expect to have access to a number of ensuite rooms on campus, including breakfast, for the duration of the workshop. More information will be made available soon.

Support

We gratefully acknowledge the support received from the following sources, without which this workshop would not be possible.

• London Mathematical Society, Joint Research Group: UK Metric Geometry & Analysis Network [grant number 32529].

• UKRI Future Leaders Fellowship: Volume-collapsed manifolds in Riemannian geometry and geometric inference [grant number MR/W01176X/1].

• European Cooperation in Science & Technology (COST): multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments (mSPACE) [grant number CA24122].

• Austrian Science Fund, Emerging Fields program: A new Geometry for Einstein’s Theory of Relativity & Beyond [grant number 10.55776/EFP6].