Harvard–MIT Algebraic Geometry: The period-index problem over the complex numbers

SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY

Speaker:

James Hotchkiss

The period-index problem is a longstanding question about the complexity of Brauer classes over a field. I will discuss some Hodge-theoretic aspects of the problem for complex function fields, and give some applications to Brauer groups and the integral Hodge conjecture.