ON THE NOTION OF A NONCOMMUTATIVE SUBMANIFOLD

Speaker(s)

FRANCESCO D'ANDREA

Affiliation

Università degli Studi di Napoli Federico II

Date

Dec. 2, 2020, 5:15 p.m.

Information about the event

Seminar 2020-12-02 17:15:00

Seminar

North Atlantic Noncommutative Geometry Seminar

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T. Masson, motivated by the derivation-based differential calculus of M. Dubois-Violette and P. W. Michor, introduced in the 90's the notion of a submanifold algebra as a way to extend to the noncommutative realm the concept of a closed embedded submanifold of a smooth manifold. He defined a submanifold algebra of an associative algebra A as a quotient algebra B such that all derivations of B can be lifted to A. In this talk, I will review some properties of submanifold algebras, derive a topological obstruction to algebras being derived from deformation quantizations of symplectic manifolds, and present some (commutative and noncommutative) examples and counterexamples.

https://www.youtube.com/watch?v=3prHShC3mAs

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