Department of Mathematics University of Haifa Colloquium Speaker: Jean Lecureux, Technion Title: Buildings, old and new Date: Tuesday, November 22, 2011 Place: Room 614 of the Science & Education Building, Univ. of Haifa Time: 4:10 Abstract: Buildings were invented by Jacques Tits. His goal was at that time to study simple Chevalley groups: the mere fact that they always act on a building enables one to deduce interesting properties of these groups. For example, Tits proved that these groups are abstractly simple. Another important feature of these buildings is that they are very rigid, which turns out to be useful in more geometric contexts. Later on, Bruhat and Tits discovered that other kind of buildings were associated to algebraic groups over p-adic fields. Roughly, these buildings can be seen as an analogue of symmetric spaces in the study of Lie groups. A more recent point of view on building is to reverse the situation: the geometry of a building being given, what kind of groups may act on it ? The groups obtained in this way share many properties with algebraic groups. -- https://sites.google.com/site/orenbenbassat/ --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Oren Ben-Bassat <ben-bassat@math.haifa.ac.il>