Title: Towards A-theory of orbifoldsAbstract: 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. An orbifold is […]

Title: Towards the quantum exceptional series Abstract:  Many Lie algebras fit into discrete families like GL(n), On, Spn. By work of Brauer, Deligne and others, the corresponding tensor categories fit into continuous familes GL(t) and OSp(t). A similar story holds for quantum groups, so we can speak of two parameter families GL(t)_q and OSp(t)_q. Thesetensor categories […]

Title and abstract TBA