The second Arolla conference on homotopy theory took place from August 24 through August 29, 2004. All conference participants were lodged in the

Hôtel Mont-Collon

CH-1986 Arolla

Switzerland.

The following institutions and organizations sponsored the conference:

University of Lausanne,

Swiss Federal Institute of Technology (EPFL),

Swiss National Science Foundation.

The conference was organized by Dominique Arlettaz (University of Lausanne) and Kathryn Hess (EPFL).

The proceedings of the conference were published as

An alpine anthology of homotopy theory,

Contemporary Mathematics399, American Mathematical Society, 2006, xiv+209.

Greg Arone (Virginia) Guido Mislin (ETHZ) Jesper Grodal (Chicago) Stefan Schwede (Bonn) Lars Hesselholt (MIT) Brooke Shipley (Illinois-Chicago) Ran Levi (Aberdeen) Sarah Whitehouse (Sheffield) Mike Mandell (Chicago)

Tuesday, August 24 | ||
---|---|---|

16:45 | Brayton Gray | Decomposition theory |

17:45 | James Lin | Finite H-spaces that are not loop spaces |

Welcome reception | ||

Wednesday, August 25 | ||

9:00 | Ran Levi | The homotopy theory of fusion systems |

10:30 | Jesper Grodal | Root systems for 2-compact groups |

11:30 | Stephen Theriault | Homotopy exponents of Lie groups of low rank |

17:00 | Natalia Castellana | H-spaces with finitely generated cohomology as algebras
over the Steenrod algebra |

18:00 | Jérôme Scherer | A cellular dichotomy |

Thursday, August 26 | ||

9:00 | Brooke Shipley | K-theory and derived equivalences |

10:30 | Stefan Schwede | Toda brackets and multiplications on 2-cell complexes |

11:30 | Sarah Whitehouse | Infinite sums of Adams operations |

Excursion to La Grande Dixence (the highest dam in the world) | ||

Friday, August 27 | ||

9:00 | Greg Arone | A curious construction on K-theory |

10:30 | Mike Mandell | E_{1}, E_{2}, E_{3},
E_{4} |

11:30 | Clemens Berger | The Barratt-Eccles operad and its canonical filtration |

17:00 | Ieke Moerdijk | Monoidal model categories and the Boardman-Vogt resolution of operads |

18:00 | Boris Chorny | Homotopy localizations vs. ordinary localizations |

Banquet | ||

Saturday, August 28 | ||

9:00 | Lars Hesselholt | On birelative algebraic K-theory |

10:30 | Guido Mislin | Traces in K-theory of group C*-algebras and the
Bass conjecture |

11:30 | Christian Ausoni | On the algebraic K-theory of complex
K-theory |

17:00 | Holger Reich | Algebraic K-theory of group rings and topological cyclic homology |

18:00 | Nathalie Wahl | Mapping class groups in dimensions 2 and 3 and the automorphism of free groups |

1. | Angeltveit Vigleik | MIT |

2. | Antoine Sébastien | University of Lausanne |

3. | Anton Marian | University of Kentucky |

4. | Arlettaz Dominique | University of Lausanne |

5. | Arone Gregory | University of Virginia |

6. | Ausoni Christian | University of Bonn |

7. | Baker Andrew | University of Glasgow |

8. | Basterra Maria | University of New Hampshire |

9. | Berger Clemens | University of Nice |

10. | Berrick Jon A. | National University of Singapore |

11. | Blanc Sylvestre | EPFL |

12. | Bojanowska Agnieszka | Warsaw University |

13. | Bornand David | University of Lausanne |

14. | Bubenik Peter | EPFL |

15. | Castellana Natalia | Universitat Autonoma de Barcelona |

16. | Chacholski Wojciech | KTH |

17. | Chorny Boris | University of Western Ontario |

18. | Costoya Cristina | EPFL |

19. | Crossley Martin | University of Wales Swansea |

20. | Gajda Wojciech | UAM Poznan |

21. | Galvez i Carrillo Imma | London Metropolitan University |

22. | Golasinski Marek | N. Copernicus University |

23. | Gray Brayton | University of Illinois at Chicago |

24. | Grbic Jelena | University of Aberdeen |

25. | Greenlees John | University of Sheffield |

26. | Grodal Jesper | University of Chicago |

27. | Henriques Andre | MIT |

28. | Hess Kathryn | EPFL |

29. | Hesselholt Lars | MIT |

30. | Hüttemann Thomas | University of Göttingen |

31. | Inassaridze Hvedri | A. Razmadze Mathematical Institute |

32. | Inassaridze Niko | A. Razmadze Mathematical Institute |

33. | Jackowski Stefan | Warsaw University |

34. | Joachim Michael | University of Münster |

35. | Laures Gerd | Ruhr-University of Bochum |

36. | Levi Ran | University of Aberdeen |

37. | Libman Assaf | University of Aberdeen |

38. | Lin James | University of California at San Diego |

39. | Lunøe-Nielsen Sverre | University of Oslo |

40. | Mandell Michael | University of Chicago |

41. | Matthey Michel | University of Lausanne |

42. | Mislin Guido | ETHZ |

43. | Moerdijk Ieke | University of Utrecht |

44. | Muro Fernando | University of Sevilla |

45. | Neisendorfer Joseph | University of Rochester |

46. | Oliver Bob | University Paris 13 |

47. | Pavesic Petar | University of Ljubljana |

48. | Ravenel Douglas | University of Rochester |

49. | Reich Holger | University of Oslo |

50. | Richter Birgit | University of Bonn |

51. | Sagave Steffen | University of Bonn |

52. | Scherer Jerome | Universitat Autonoma de Barcelona |

53. | Schwede Stefan | University of Bonn |

54. | Scull Laura | University of British Columbia |

55. | Shipley Brooke | University of Illinois at Chicago |

56. | Smrekar Jaka | University of Ljubljana |

57. | Strickland Neil | University of Sheffield |

58. | Theriault Stephen | University of Aberdeen |

59. | Tonks Andrew | London Metropolitan University |

60. | Varisco Marco | University of Münster |

61. | Vavpetic Ales | University of Ljubljana |

62. | Ventura Joana | Instituto Superior Tecnico, Lisboa |

63. | Wahl Nathalie | Aarhus University |

64. | Whitehouse Sarah | University of Sheffield |

65. | Wüthrich Samuel | University of Bern |

66. | Yapu Luis | University of Genève |

The closest airport to Sion and Arolla is in Geneva, which is about 160 km from Sion. It is also possible to fly into Zurich and then to travel by train and yellow "La Poste" bus from the Zurich airport to Arolla via Lausanne and Sion (Zurich-Arolla=400 km, less than 4h by train).

**Arriving by train and bus:** Take a train in the
direction of Lausanne, where you may need to change to catch a
train to Sion (Lausanne-Sion=100 km). There are some offers from
the Swiss Federal Railways. The conference bus will pick up
passengers at the train station in Sion. If you are not taking the
conference bus from Sion, upon exiting from the train station in
Sion, turn left to find the stops of the yellow "La Poste" buses.
When you arrive in Arolla, ask the driver to let you off at the
Hôtel Mont-Collon. Train and yellow "La Poste" bus schedules
are available on the web site of the Swiss Federal Railways.

**Arriving by car:** Take the highway to Sion,
which is approximately 100 km east of Lausanne. Exit from the
highway at "Sion-Est" and follow the signs for "Val
d'Hérens". The first village you come to will be Vex, where
you should follow the signs for "Evolène-Arolla". You will
then go through Euseigne, Evolène and Les Haudères
before arriving in Arolla, about 40 km from Sion. The Hôtel
Mont-Collon is at the entrance to the village of Arolla. The web
site www.viamichelin.com can be very valuable to find your
itinerary.