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Noncommutative linear systems

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

December 02, 2025 (03:00 PM PST - 04:00 PM PST)
Speaker(s): Daniel Chan (University of New South Wales)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Noncommutative linear systems

Abstract

Linear systems are a fundamental concept in projective geometry. We will offer a noncommutative analogue via the notion of helices, related to Bondal-Polischchuk's notion of helices used to study regular algebras of dimension three. We look at helices on elliptic curves which give maps of noncommutative elliptic curves to noncommutative projective lines and planes. 

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Noncommutative linear systems

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