February 7, 2023
4:00PM - 5:00PM
Smith Lab 1138
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2023-02-07 17:00:00
2023-02-07 18:00:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.