A NON-COMMUTATIVE NULLSTELLENSATZ FOR LEAVITT PATH ALGEBRAS

Speaker(s)

MURAD ÖZAYDIN

Affiliation

University of Oklahoma, Norman, USA

Language of the talk

English

Date

April 1, 2026, 5:15 p.m.

Information about the event

IMPAN 405 & ZOOM

Title in Polish

A NON-COMMUTATIVE NULLSTELLENSATZ FOR LEAVITT PATH ALGEBRAS

Seminar

North Atlantic Noncommutative Geometry Seminar

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Hilbert's Nullstellensatz states that a quotient of the algebra of regular functions on an affine variety over an algebraically closed field is the algebra of regular functions on a (sub)variety if and only if its radical is trivial. A noncommutative analogue is: "A quotient of a Leavitt path algebra (LPA) is isomorphic to an LPA if and only if its radical is trivial." (Koç and Özaydın). This suggests that an LPA behaves like a noncommutative algebra of functions on a directed graph. (Based on research partially supported by the TÜBİTAK grant 122F414.)

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