主 题: Spectral Theory and Number Theory of the Twisted Bi-Laplacian
报告人: Prof. M. W. Wong (York University, Canada)
时 间: 2012-10-30 15:30-16:30
地 点: 理科一号楼1418
We begin with the sub-Laplacian on the Heisenberg group. The
twisted Laplacian is then introduced by taking the inverse Fourier
transform of the sub-Laplacian with respect to the center of the
Heisenberg group. After a recapitulation of the spectral theory of the
twisted Laplacian in terms of the Wigner transform, the spectral theory
and number theory of the twisted bi-Laplacian obtained by Todor
Gramchev, Stevan Pilipovic, Luigi Rodino and me are reported. We end
the talk with some new results on the trace of the heat semigroup and
the Dixmier trace of the inverse of the twisted bi-Laplacian based on a
connection with the Riemann zeta function.
