Brauer-Manin obstructions on constant curves over global function fields

Abstract: For a curve C over a global field K it has been conjectured that the Brauer-Manin obstruction explains all failures of the Hasse principle. I will discuss results toward this conjecture in the case of constant curves over a global function field, i.e. where C and D are curves over a finite field and we consider C over the function field of D. This is joint work with Felipe Voloch.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

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