Geometry and Quantum Theory Seminar

Speaker 1: Max Hubner, CMSA

Title: On Topological Structures in String Theory

Abstract: 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.

Speaker 2: Bowen Yang, CMSA

Title: Bounded L theory

Abstract: Bounded L-groups arise in the intersection of algebraic L-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 L-groups differ from classical L-groups, and outline an application to quantum many body invariants.