September 15th 2017; 12:00; Seminar room C1/366
Albert Ruiz, On the classification of p-local compact groups over a fixed discrete p-toral group.
Abstract: p-local finite groups where defined by Broto-Levi-Oliver as a generalization of finite groups studied at a prime p. Later on, the same authors, defined p-local compact groups as a generalization of compact Lie Groups at a prime p and p-compact groups.
Examples of p-local finite groups which do not correspond to finite groups are known for every prime number p. In the infinite case, very few cases which do not correspond to p-compact groups have been studied. In this talk we will see a classification of p-local compact groups over some special discrete p-toral groups (joint work with Bob Oliver) which include a family of p-local compact groups which are not p-compact groups (joint work with Alex González and Toni Lozano).