Tentative Outline

• Introduction to Cuntz semigroups

• Encoding topological obstructions in the Cuntz semigroup as a route to constructing C*-algebras with surprising behaviour

• Computing the Cuntz semigroup within the class of C*-algebras covered by the Toms-Winter conjecture

• Homotopy classes of positive elements, and contractability of Cuntz classes.

Registration and support

To register please fill out the form here (by 25 August).  We expect to have funding to provide some accommodation in St John's College for the nights of 11, 12 September for a small number of participants. Priority will be given to early career researchers. To apply for accommodation please register by Mon 18 August. Accommodation decisions will be made and communicated by 21 August.  If you are a PhD student, requesting accommodation support, please arrange for your supervisor to send a very short email of recommendation to Stuart White and Helen Stringer by Mon 18th August.  There is a small amount of travel funding available to UK early career researchers; please apply by the same deadline if you need travel support. If you will need a visa to attend this workshop, please contact Stuart White and Helen Stringer as soon as possible.

Travel

From outside the UK Oxford is easily reached from Heathrow airport, via the Oxford airliner bus.  Note that the UK now has an electronic authorisation to travel system. Other than UK or Irish nationals, or those with the permission to live, work or study in the UK,  either an ETA or visa is needed to enter the UK (which applies depends on your nationality).

Provisional schedule: 

All talks will take place in room C6 of the Mathematical Institute, University of Oxford.

Wednesday 10 Sept: 

• 3pm Registration and coffee

• 3:30pm-5pm Lecture 1 - The Leverhume Lecture

• 5:10 Ben Bouwen: Embeddings into ultrapowers of the Jiang-Su algebra

Thursday 11 Sept

• 10am-11:30am Lecture 2

• 1:25pm Brian Chan: Purely large extensions with purely infinite quotients 

• 1:50pm Akshara Prasad: Type semigroups and a dichotomy for twisted groupoid C*-algebras

• 2:15 pm Apurva Seth: Results on Radius of Comparison and Crossed Products of C*-Algebras

• 2:40pm Eduard Vilalta: An introduction to the global Glimm problem

• 3pm Coffee

• 3:30pm-5pm Lecture 3

• Minicourse dinner, St John's College

Friday 12 Sept

• 9:30am-11:00am Lecture 4.

• 11:00am Coffee

• 11:30am Greg Patchell: Non-nuclear examples of selfless C*-algebras 

• 12:05pm Austin Shiner: Selflessness of certain stably finite algebras 

• 12:30pm Carlos Campoy Garcia Trevijano: Classification of flows on non-commutative Tori 

Thanks To

• The Leverhume Trust.

• St John's College, Oxford for a small grant supporting external participants.

Contact

Stuart White (stuart dot white at maths dot ox dot ac dot uk) and Helen Stringer (helen dot stringer at maths dot ox dot ac dot uk).