# One-day seminar on New Trends in Noncommutative Geometry

Noncommutative geometry aims to use geometric insight in studying phenomena that are beyond the reach of classical geometry and analysis, using functional analysis and algebra as primary rigorous tools. Over the years it has been applied to a variety of problems, from index theory for foliations, to the Novikov conjecture, quantum Hall effect, standard model, analysis on quantum groups, and many more. The goal of the one-day seminar is to use the opportunity provided by the visit of Adam Rennie from Australia to report on recent advances in the area. Another goal is to strengthen ties between the operator algebra groups in Oslo and Trondheim.

The seminar is part of the project "Pure Mathematics in Norway, 2018-2022", supported by the Trond Mohn Stiftelse (earlier called Bergen Research Foundation) and the Tromsø Research Foundation.

The talks will take place in Undervisningsrom 4 of Georg Sverdrup building. This is the main library building that you see soon after coming to campus from Blindern subway station. When you enter the building, take the stairs on the left all the way to the third floor. Undervisningsrom 4 is one of the four rooms that you can see from the stairs.

Program:

- 11:00-11:50 Adam Rennie:
**Poincare duality for Cuntz-Pimsner algebras** - 11:50-13:15 Lunch
- 13:15-14:00 Eduard Ortega:
**Topological full groups and homology of etale groupoids** - 14:15-15:00 Makoto Yamashita:
**Integrating Gauss-Manin connection by group cohomology** - 15:00-15:30 Coffee
- 15:30-16:15 Adam Sørensen:
**C*-stable groups** - 16:30-17:00 Are Austad:
**Modulation spaces as a smooth structure in noncommutative geometry** - 18:00-20:00 Dinner at Mahayana Asian Dining