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Artin's conjecture and related problems

Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness December 01, 2025 - December 05, 2025

December 01, 2025 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Daniel Rogalski (University of California, San Diego)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

Certain division algebras arise naturally in noncommutative projective geometry as the ``function skew fields" of noncommutative projective varieties.  Artin conjectured that the division algebras associated in this way to noncommutative surfaces are either finite over their centers, or else fall on a short list of known possibilities.  We discuss the conjecture and other recent work on problems about division rings that are motivated by noncommutative projective geometry.

 

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Artin's conjecture and related problems

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