Williams College

Thu 2 Apr 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 2 Apr 2015, 3:30pm4:30pm
Abstract
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UBC

Thu 9 Apr 2015, 3:30pm
Number Theory Seminar
room MATH 126

Eigenfunction estimate on congruence hyperbolic manifolds

room MATH 126
Thu 9 Apr 2015, 3:30pm4:30pm
Abstract
Understanding the behavior of various L^{p} norms of highenergy eigenstates of the Laplacian on a compact Riemannian manifold is an important and interesting problem lying in the intersection of diverse brunches of mathematics. We will be mainly focusing on the L^{∞} norms and also be discussing on a related problem which is known as Quantum Unique Ergodicity. It is expected that when the manifold has negative sectional curvature and has enough symmetry from underlying congruence subgroup of the isometry group, the L^{∞} norm can be sharpened from the socalled trivial bound. We give a partial result in the case of hyperbolic manifolds of dimension 4 and 5. This is a joint work with my supervisor Lior Silberman.
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UCLA

Thu 21 May 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 21 May 2015, 3:30pm4:30pm
Abstract
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