Quaderni Elettronici del Seminario di Geometria Combinatoria 12E (Giugno 2003), 1--7 Università degli Studi di Roma "La Sapienza" - Dipartimento di Matematica

Jacques Tits gave the classification of spherical buildings of rank at least three in his famous Lecture Notes (1974). The rank two residues of a spherical building of higher rank are Moufang polygons. The classification of Moufang polygons by Tits and the speaker (which appeared in 2001) makes it possible to give a simplified proof of the classification of spherical buildings of rank at least three. We give a brief description of these developments without assuming any familiarity with the theory of buildings.

Richard M. Weiss

Department of Mathematics, Tufts University, Medford, MA 02155, USA
e-mail: rweiss@tufts.edu

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