Workshop on "Combinatorial and geometric aspects of Hyperplane Arrangements" May 24th through 26th
timetable:
Wed 26 May, 9:00 - 10:00, Aula Dini
documents:
<< Go back
MAY WORKSHOP: Homotopy theory and spaces of representations
speaker: Alejandro Adem (University of British Columbia)abstract: Using spaces of homomorphisms and the descending central series of the free groups, simplicial spaces are constructed for each integer q>1 and every topological group G, with realizations B(q,G) that filter the classifying space BG. In particular for q=2 this yields a single space B(2,G) assembled from all the n-tuples of commuting elements in G. Homotopy properties of the B(q,G) will be described for finite groups, and cohomology calculations provided for compact Lie groups. Recent results on understanding both the number and stable homotopy type of the components of related spaces of representations will also be discussed.
timetable:
Wed 26 May, 9:00 - 10:00, Aula Dini
documents:
Adem Slides
<< Go back