On simplicity of the second Neumann eigenvalue: What every mathematician should know about analysis on
Speakers
Details
Title: On simplicity of the second Neumann eigenvalue
Speaker: Rami Atar (Technion)
Date and Time: Wednesday, May 10 2006, 02:00 PM - 03:00 PM
Location: West Mall Annex Room 110, PIMS UBC
Notes: 1:40-2:00 Coffee (1st floor PIMS lounge)
Dinner: 6:30
(Contact Ed Perkins perkins[at]math.ubc.ca if you are interested in attending dinner. Graduate
students, speakers and pdf's in probability dine free.)
Abstract: I will review results and open problems regarding simplicity
of the second Neumann Laplacian eigenvalue on domains, and properties
of the corresponding eigenfunctions, and present a new simplicity
result for a family of smooth planar domains, that is based on analysis
of mirror couplings. Joint work with K. Burdzy
Title: What every mathematician should know about analysis on graphs, and a counterexample to Davies' conjecture
Speaker: Gady Kozma (Institute for Advanced Study)
Date and Time: Wednesday, May 10 2006, 03:30 PM - 04:30 PM
Location: West Mall Annex Room 110, PIMS UBC
Notes: 3:00-3:30 Coffee (1st floor PIMS lounge) Dinner: 6:30 (Contact Ed Perkins perkins[at]math.ubc.ca if you are interested in attending dinner. Graduate students, speakers and pdf's in probability dine free.)
Abstract: We construct a graph G with two vertices x,y such that the ratio of the heat kernels p(x,x;t)/p(y,y;t) does not converge.
Additional Information
Rami Atar (Technion)
