1. On Topological Structures in String Theory 2. Bounded L theory
CMSA EVENTS: CMSA Geometry and Quantum Theory Seminar
Talk #1:
Max Hubner, Harvard CMSA
On Topological Structures in String Theory
Geometric engineering constructions in string theory often realize QFTs relative to an extra-dimensional geometry. This perspective parallels the symmetry TFT construction where a QFT is presented relative to its extra-dimensional symmetry quiche. Unsurprisingly, as we will discuss, these constructions are related. Topological features of the extra-dimensional geometry map onto the symmetry TFT. We discuss examples and generalization beyond purely geometric constructions in string theory.
Talk #2:
Bowen Yang (Harvard CMSA)
Bounded L theory
Bounded -groups arise in the intersection of algebraic -theory and large-scale geometry, providing a framework for quadratic forms and automorphisms subject to uniform control conditions. These groups play a role in topology and surgery theory, especially in contexts where one needs to measure obstructions not just algebraically but also geometrically, with bounds on propagation or support. In this talk I will give a gentle introduction to the basic definitions, explain how bounded -groups differ from classical -groups, and outline an application to quantum many body invariants.