Seminarium z Topologii Algebraicznej
Wtorki, 12:15-13:45, sala 4070
5-12.03.2013
Odwzorowania przestrzeni klasyfikujących: Wstęp - Stefan Jackowski
Maps between classifying spaces of unitary groups - Wojciech Lubawski
Abstract: We give a classification theorem for maps between classifying
spaces of unitary groups in certain range of dimensions. We show a
construction of families of exceptional (i.e. not induced by homomorphisms
of groups and Adams operations) maps and show that for each n these include
exceptional representations of U(n) of the smallest possible dimension. In
particular we closely investigate and calculate in several cases
obstructions needed to lift a map from a colimit to a homotopy colimit. We
give a criterion for lifting a map from homotopy colimit by a fibration.
Strona seminarium