The periodindex problem
The periodindex problem

Alexander Perry, University of Michigan
Fine Hall 322
In the theory of Brauer groups, the longstanding periodindex problem asks for a bound on one measure of complexity of a central simple algebra (its index) in terms of another (its period). I will discuss some recent progress on this problem which relies on a mixture of ideas from Hodge theory, noncommutative/derived algebraic geometry, and enumerative geometry.
This is based on joint works with James Hotchkiss and with Johan de Jong.