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The period-index problem over the complex numbers

Arithmetic Geometry Seminar
February 7, 2023
4:00PM - 5:00PM
Smith Lab 1138

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Add to Calendar 2023-02-07 16:00:00 2023-02-07 17:00:00 The period-index problem over the complex numbers Speaker: James Hotchkiss (University of Michigan) Title: The period-index problem over the complex numbers Abstract: The period-index problem for the Brauer group of a field asks, briefly, how the size of a division algebra is constrained by its order in the Brauer group.  I will describe a Hodge-theoretic interpretation of the problem for complex function fields, and explain some consequences for the integral Hodge conjecture and for Brauer groups. Footnote: We will again be going for lunch and dinner with the speaker and anyone who is interested in joining us should let Joshua know. The talk will start a few minutes late in case there is an Algebraic Geometry seminar prior to this event. Smith Lab 1138 Department of Mathematics math@osu.edu America/New_York public

Speaker: James Hotchkiss (University of Michigan)

Title: The period-index problem over the complex numbers

Abstract: The period-index problem for the Brauer group of a field asks, briefly, how the size of a division algebra is constrained by its order in the Brauer group.  I will describe a Hodge-theoretic interpretation of the problem for complex function fields, and explain some consequences for the integral Hodge conjecture and for Brauer groups.

Footnote: We will again be going for lunch and dinner with the speaker and anyone who is interested in joining us should let Joshua know. The talk will start a few minutes late in case there is an Algebraic Geometry seminar prior to this event.

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