Date | Jul 09, 2015 |
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Speaker | 장승욱 |
Dept. | The university of Chicago |
Room | 129-301 |
Time | 16:00-17:00 |
We prove that the Hecke--Maass eigenforms for a compact arithmetic triangle group have a growing number of nodal domains as the eigenvalue tends to +∞. More generally the same is proved for eigenfunctions on negatively curved surfaces that are even or odd with respect to a geodesic symmetry and for which Quantum Unique Ergodicity holds.