Séminaire Kervaire 2021: 'Conjecture de Baum-Connes'

The Baum-Connes conjecture bridges Operator Algebras, Index Theory, Geometric Group Theory and Metric Geometry. It is therefore a unifying theme in Mathematics. The mini-courses will serve as an introduction to the subject, while the talks by younger experts will explain the search towards positive results and also towards counterexamples.

Talks

Minicourses (3h each)

Pierre Julg, (Orléans):
1. K-theory, a receptacle for indices
2. Kasparov theory, a tool for computing K-theory
3. BC conjecture, some results
Alain Valette, (Neuchâtel):
1. Proper actions and the classifying space for proper actions
2. The left-hand side: equivariant K-homology
3. Introduction to the coarse BC conjecture

Lectures (2h each)

Sara Azzali (Greifswald): KK-theory with real coefficients and localised Baum-Connes conjecture
Indira Chatterji (Nice): Introduction to the Rapid Decay property for discrete groups
Ramón Flores (Sevilla): Computing the left-hand-side. Slides
Maria Paula Gomez Aparicio (Paris-Saclay): Lafforgue's approach and the Oka principle
Omar Mohsen (Paris-Saclay): The Higson-Kasparov theorem
Shintaro Nishikawa (Muenster): On localization algebras and the gamma element method
Hervé Oyono-Oyono (Metz): Controlled K-theory. Slides1, Slides2
Mikael de la Salle (ENS Lyon): Strong property (T)
Damian Sawicki (KU Leuven): Warped cones violating the coarse Baum-Connes conjecture

Schedule

The arrival day is Sunday, May 23. Dinner will be served for everybody in the Hôtel Les Sources at about 7 pm.
The scientific program begins on Monday, March 24, at 9 am.
The conference ends at lunchtime on Friday, May 28.

	Monday	Tuesday	Wednesday	Thursday	Friday
8:45-9:45 am	Valette 1	Julg 2	Valette 3	Azzali 1	Oyono-Oyono 2
9:45-10:45 am	Julg 1	Flores	de la Salle 2	Gomez-Aparicio 2	Sawicki 2
10:45-11:15 am	Coffee Break
11:15-12:15 am	de la Salle 1	Julg 3	Gomez-Aparicio 1	Nishikawa 1	Nishikawa 2
12:30 am	Lunch and free time
4:30 pm	Tea and Coffee
5:00-6:00 pm	Valette 2	Chatterji 2	Oyono-Oyono 1	Sawicki 1
6:00-7:00 pm	Chatterji 1	Mohsen 1	Mohsen 2	Azzali 2
7:15 pm	Dinner

Participants

Clément Dell'Aiera, ENS Lyon
Sofia Amontova, Genève
Goulnara Arzhantseva, Vienna
Sara Azzali, Greifswald
Pierre Bagnoud, Genève
Corentin Bodart, Genève
Viginie Bonnier, Genève
Indira Chatterji, Nice
Ramón Flores, Sevilla
Maria-Paula Gomez-Aparicio, Paris-Saclay
Pierre de la Harpe, Genève
Laurent Hayez, Neuchâtel
Merlin Incerti-Medici, IHES
Hector Jardon Sanchez, Lancaster
Pierre Julg, Orléans
Julian Kranz, Münster
Tim de Laat, Münster
Paul-Henry Leemann, Neuchâtel
Paul Meunier, ENS Lyon
Omar Mohsen, Paris-Saclay
Tatiana Nagnibeda, Genève
Shintaro Nishikawa, Münster
Hervé Oyono-Oyono, Institut Élie Cartan de Lorraine
Sanaz Pooya, Stockholm
Mikael de la Salle, ENS Lyon
Damian Sawicki, KU Leuven
Alain Valette, Neuchâtel
Alexandre Zumbrunnen, Neuchâtel

How to get there

A map of the hotel surroundings, including the railway station in Les Diablerets.

Getting to Les Diablerets by train

Transfer at Aigle: From Aigle railway station, connecting train to Les Diablerets (ASD)

For timetables of your public transport connections, please visit: www.sbb.ch/en

Geneva railway station: 2hrs 8min
Lausanne railway station: 1hr 29min
Zurich railway station: 3hr 50min
Sion airport: 2hr 6min
Lyon railway station: 4hr 41min
Paris – Gare de Lyon: 5hrs 23min from Paris via Lausanne (TGV Lyria)

Getting to Les Diablerets by plane

Geneva airport 120km
Zurich airport 250km
Lyon airport 240km
Sion airport 60km

Getting to Les Diablerets by car

Take A9 motorway, exit at Aigle or Bex/St Triphon and follow signs for Les Diablerets

1hr 15min from Geneva
5hrs 30min from Munich
6hrs from Nice
6hrs 15min from Paris

Driving in Switzerland

Motorway vignette (toll sticker) is mandatory, CHF 40.00 (approx. €35), available at customs offices, post offices and gas stations.
The following speed limits apply:
In urban areas: between 30 and 50 km/h, Outside urban areas: 80 km/h, Motorway: 120 km/h

Swiss Doctoral Program in Mathematics

Séminaire Kervaire 2021: Baum-Connes Conjecture