The lectures take place in Room M2, Einsteinstrasse 62, 48161 Münster

Program

9:15-10:00 Coxeter groups: The material in Bourbaki Ch. IV.1.1 - 1.3
Length and reduced decompositions - Dihedral groups - First properties of Coxeter groups
(David Hume)

10:30-11:15 Coxeter groups: The material in Bourbaki Ch. IV.1.4 - 1.6
Reduced decompositions in Coxeter groups - The exchange condition - Characterizations of Coxeter groups
(Mathieu Carette)

11:30-12:15 Coxeter groups: The material in Bourbaki Ch. IV.1.7 - 1.9
Families of partitions - Subgroups of Coxeter groups - Coxeter matrices and Coxeter graphs
(Stefan Witzel)

(Lunch break)

15:00-15:45 Statement of the classification of spherical
and affine Coxeter groups with a sketch of the proof: Humphreys
(Alice Devillers)

16:15-17:00 Coxeter complexes: The material in Brown Ch. III
The Coxeter complex is simplicial - Local properties of Coxeter complexes - Construction of chamber maps
Half-spaces
(Jan Essert)

17:15-18:00 Buildings: The material in Brown Ch. IV.1
Definitions and first properties
(Stephane Felix)

Tuesday

9:15-10:00 Buildings: The material in Brown Ch. IV.2
Examples
(Jean Lecureux)

10:30-11:15 Buildings: The material in Brown Ch. IV.3
Retractions
(Laurent La Fuente-Gravy)

11:30-12:15 Buildings: The material in Brown Ch. IV.4
The complete system of apartments
(Gabriele Link)

(Lunch break)

15:00-15:45 Buildings: The material in Brown Ch. IV.5
The spherical case
(Anton Evseev)

16:15-17:00 BN-pairs: The material in Brown Ch. V.1-3
Strongly transitive automorphism groups - BN-pairs - The building associated to a BN-pair
(Timothee Marquis)

17:15-18:00 Example SL(n,K): The material in Brown Ch. V.5
(Robert Kremser)

Wednesday

9:15-10:00 Example Sp(n,K): The material in Brown Ch. V.6
(Carlos Ramos Cuevas)

10:30-11:15 Example SL(n,K) over a valued field: The material in Brown Ch. V.8
(Paul Broussous)

11:30-12:30 The classification of spherical buildings
(Richard Weiss)

(Lunch break)

15:00-16:00 The structure of affine buildings, I
(Ken Brown)

17:00-18:00 The classification of affine buildings
(Richard Weiss)

Thursday

9:15-10:15 The structure of affine buildings, II
(Ken Brown)

11:15-12:15 Descent in Bruhat-Tits theory: the example of unitary groups in three variables
(Bertrand Rémy)

(Lunch break)

14:30-16:00 The Bruhat-Tits theory for reductive groups over local fields: a quick introduction
(Gopal Prasad)

17:00-18:00 On the existence of certain affine buildings
(Hendrik Van Maldeghem)

Friday

9:15-10:15 Rank rigidity for lattices in products of buildings
(Pierre-Emmanuel Caprace)

11:15-12:15 Buildings and reduction theory
(Ulrich Stuhler)

(Lunch break)

14:00-15:00 Finiteness properties of groups acting on buildings
(Peter Abramenko)

15:10-16:10 Codistances on buildings
(Bernhard Mühlherr)