|Date: Tuesday, October 24, 2017
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: Stable homotopy theory: spectra, generalized cohomology theories and higher algebraic structures
Abstract: This talk will be an introduction to stable homotopy theory, in which we provide three viewpoints on the objects under study, namely spectra. We will first motivate the introduction of spectra and the stable homotopy category by considering stable properties, i.e. those properties that are stable under suspension. Second, we will describe Brown representability and the resulting connection between spectra and generalized cohomology theories. Third, we will describe the connection between spectra and infinite loop spaces, and more generally, we will describe how one can study higher algebraic structures, more specifically algebraic structures up to "coherent higher homotopies", via spectra. This talk should be accessible to anyone who has had a first course in algebraic topology.
Speaker: Montek Gill
Institution: University of Michigan