Lifting finite propagation operators: application to geometry and physics

開催日時
2023/04/11 火 15:00 - 16:30
場所
6号館609号室
講演者
窪田陽介
講演者所属
京都大学
概要

In this talk, I will introduce a simple technique for lifting a bounded linear operator with finite propagation on a metric space (specifically, a Riemannian manifold) to its covering space. This lifting induces a homomorphism between operator algebra K-groups, which non-trivially relates an index-theoretic invariant to another. This answers some questions in both differential topology (Schick's meta-conjecture on positive scalar curvature metric) and condensed matter physics (the bulk-dislocation correspondence).