Description:

Title: Towards A-theory of orbifolds

Abstract: Waldhausen's A-theory of spaces — an extension of Quillen's higher algebraic K-theory of rings — is central to the study of moduli spaces of manifolds. In this talk, we will discuss a generalization of A-theory that takes as input an orbifold and which we expect to have rich geometric applications in analogy with the manifold setting. As an orbifold is locally described in terms of equivariant data, our discussion will involve an equivariant generalization of A-theory, due to Malkiewich–Merling, as well as related work in equivariant A-theory that is joint with David Chan, Anish Chedalavada, and Andres Mejia.