Mathematics Colloquium Fall 2018

Tuesdays - 4:00 p.m.
McHenry Library Room 4130
Refreshments served at 3:30 in the Tea Room (4161)
For further information please call the Mathematics Department at 459-2969

Tuesday, October 9th, 2018


Tuesday, October 16th, 2018

David Stork

Tuesday, October 23rd, 2018


Tuesday, October 30th, 2018

Ovidiu Muntean, University of Connecticut


Tuesday, November 6th, 2018


Tuesday, November 13th, 2018

Richard Taylor, Stanford University

Tuesday, November 20th, 2018

Colin Guillarmou, Paris-Sud

Tuesday, November 27th, 2018

Pedro Morales, University of California Santa Cruz

Spectral Zeta Functions and their applications to the Casimir Effect.

In this talk, I will explore the Spectral Zeta Function associated with an elliptic (pseudo) differential operator on a compact Riemannian manifold. In this setting, the operator is self-adjoint and unbounded, preventing us for a well define trace and determinant. The Zeta Function formalism enables us to define a zeta-regularized trace for the differential operator, as well as a functional determinant. One direct application of this is in QFT effect, such as the vacuum energy and the Casimir Effect. These have to do with the fluctuations of quantum vacuum producing a non-zero vacuum energy that could produce an attractive or repulsive force depending on the boundary conditions.

Tuesday, December 4th, 2018