Division algebras, the period-index conjecture, and topological methods.
I will give an introduction to division algebras over field, some of their applications, and the important and still-open period-index conjecture. I will explain the status of the conjecture including the results of de Jong, Lieblich, and Saltman. Then, I will explain how topological methods give new insights on the conjecture and perhaps even question its truth.
(Tea served in First Floor Commons Room at 3:30pm.)