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24 Race Street, Athens, Ohio 45701
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Simultaneously in person in Morton 320 and on Teams.
2025 Surender K. Jain Lecture
Title: Leavitt path algebras at the crossroads of algebra, analysis and noncommutative geometry.
Abstract: Leavitt path algebras are certain quotients of path algebras where the relations are inspired from Cuntz-Krieger relations for graph $C^*$-algebras. Leavitt path algebras have deep connections with symbolic dynamics, and they capture the homological properties of both path algebras and their Koszul dual and hence they form an important class of noncommutative algebras. We give a construction for graded automorphisms of Leavitt path algebras, and as an application, we study Zhang twist of Leavitt path algebras and describe new classes of irreducible representations of Leavitt path algebras.
