There is a well-established relationship between the spectrum of certain differential operators and the geometry of underlying manifolds. In particular, in this talk, we will show how to use the distribution of the eigenvalues of the complex Laplacian to understand the quotients of the 3-sphere. We will derive an analog of Weyl's law for the complex Laplacian on spherical manifolds.

Link to the seminar is:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1620854698733?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d