[Binghamton Geometry/Topology Seminar] Geometry/Topology seminar this Thursday

[Tam Nguyen Phan]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

   Date: Thursday, October 22nd, 2015

   Time:  2.50 pm

   Place: Whitney Hall, Room 100E,  followed by coffee/tea in the
      Hilton Reading Room. Note the new location of the math department (
http:// <http://www2.math.binghamton.edu/p/directions>www2.
<http://www2.math.binghamton.edu/p/directions>math.binghamton.edu
<http://www2.math.binghamton.edu/p/directions>/p/directions
<http://www2.math.binghamton.edu/p/directions>).

   Speaker:  *Jiuyi* *Zhu* (John Hopkins University)

   Title:  *Doubling estimates, vanishing order and nodal sets of **Steklov**
eigenfunctions*

    Abstract: Recently the study of Steklov eigenfunctions has been
attracting much attention. We investigate the qualitative and quantitative
properties of Steklov eigenfunctions. We obtain the sharp doubling
estimates for Steklov eigenfunctions on the boundary and interior of the
manifold using Carleman inequalities. As an application, optimal vanishing
order is derived, which describes quantitative behavior of strong unique
continuation property. We can ask Yau's type conjecture for the Hausdorff
measure of nodal sets of Steklov eigenfunctions. We derive the lower bounds
for interior and boundary nodal sets. In two dimensions, we are able to
obtain the upper bounds for singular sets and nodal sets. Part of work is
joint with Chris Sogge and X. Wang.

NOTE:  The seminar has a webpage where the semester's program is listed:

http://www2.math.binghamton.edu/p/seminars/topsem
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