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Math Colloquium: Geometry & Topology of Zero Sets of Schrodinger Eigenfunctions
Start Date: 2/9/2015Start Time: 3:00 PM
End Date: 2/9/2015End Time: 4:00 PM
Event Description
Yaiza Canzani, Harvard University, Institute for Advanced Studies

 

Abstract: In this talk I will present some new results on the structure of the zero sets of Schrodinger eigenfunctions on compact Riemannian manifolds. I will first explain how wiggly the zero sets can be by studying the number of intersections with a fixed curve as the eigenvalue grows to infinity. Then, I will discuss some results on the topology of the zero sets when the eigenfunctions are randomized. This talk is based on joint works with John Toth and Peter Sarnak.
Contact Information:
Name: Ron Perline
Email: rperline@math.drexel.edu
Location:
Korman Center, Room 245, 15 South 33rd Street, Philadelphia, PA 19104
Audience:
  • Everyone

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