The University of Arizona

Division algebras, the period-index conjecture, and topological methods.

Division algebras, the period-index conjecture, and topological methods.

Series: Mathematics Colloquium
Location: Math 501
Presenter: Benjamin Antieau

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.)

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