The period-index problem over the complex numbers

Name: The period-index problem over the complex numbers
Start: 2023-02-21T15:00:00-05:00
End: 2023-02-21T16:00:00-05:00
Location: Science Center 507

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: February 21, 2023

3:00 pm - 4:00 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

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.