Higher Order Laplacians on Simplicial Complexes

26.10.2022, 4:00 pm  –  Golm, Haus 9, Raum 1.22
SIAM Chapter Seminar

Philipp Bartmann

Abstract: As higher dimensional analogues of graphs, simplicial complexes appear in many areas of mathematics such as topology, combinatorics, data analysis and number theory. However, it is still somewhat a mystery what information about the geometry is encoded in the spectra of its Laplace Operators such as the Hodge Laplacian. In this talk we will define Laplacians for infinite weighted simplicial complexes, discuss basic properties like boundedness and essential self-adjointness and draw parallels to magnetic Schrödinger operators on graphs.

Further details are announced via mailing list "SIAM-chapter-list", or ask Franziska or Florian.