Gandalf (Pure Maths Student Seminar): Computing the Cohomology of Chain Spaces
7 November 2012 16:00 in CM221At a recent talk in St. Mary's College, I introduced a way of generalising chain spaces to an arbitrary vector space V, with an action of an arbitrary Lie group G. A lot is known for these chain spaces when V is real d-space and G = SO(d). In this talk, I will state some results in the real case and suggest a method of calculating cohomologies in the more general case. This method involves the Leray-Serre spectral sequence, and we will hopefully see a few particular examples. (If you haven't seen/heard of spectral sequences before, don't worry as I will explain what they are and why they are useful).
Gandalf is the pure maths student seminar. Gandalf stands for the Geometry AND ALgebra Forum. It is run by and for pure postgraduates, but welcomes anyone who is interested in coming along.
Content from previous talks is available at the gandalf seminar home page.