Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori
Time and place
1 PM on Thursday, October 8th, 2009; NAC 6/113
Prof. Jay Jorgenson (CCNY)
Abstract
By a discrete torus we mean the Cayley graph associated to a finite abelian group with its canonical generators. A natural invariant associated to the graph is the set of eigenvalues of the adjacency matrix. In this talk, we will study results associated to the set of eigenvalues we the orders of the abelian groups tend to infinity. In particular, we will recover spectral theory on real tori as a limiting case of the discrete tori. Further problems and results will be discussed. (The research described in this talk is joint work with Gautam Chinta and Anders Karlsson.)
