Algebra learning seminar

Wednesday, September 10, 2014 1:30 pm - 1:30 pm EDT

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Organization and Stably-Free Modules”

Algebraic K-theory is a branch of homological algebra generalizing linear algebra over a field to an arbitrary ring. The goal of this seminar is to learn about the lower K-groups — which generalize familiar algebraic objects such as the ideal class group, group of units, and the Picard group —, and how they apply to areas like number theory, algebraic geometry, and general ring theory. In the first meeting we’ll decide on a permanent time slot that works for those who want to attend regularly, and then review projective modules and introduce stable-freeness; in the second meeting we will define K0. A useful reference for these topics is ”The K-Book” by C. Weibel.

Everyone is welcome!