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Special colloquiumExport this event to calendar

Tuesday, November 26, 2013 — 4:00 PM EST

Simon Marshall, Northwestern University

"L^p norms of eigenfunctions on locally symmetric spaces"


Let M be a compact Riemannian manifold, and f an L^2-normalised Laplace eigenfunction on M.  If p > 2, a theorem of Sogge tells us how large the L^p norm of f can be in terms of its Laplace eigenvalue.  For instance, when p is infinity this is asking how large the peaks of f can be.  I will present an analogue of Sogge's theorem for eigenfunctions of the full ring of invariant differential operators on a locally symmetric space, and discuss some links between this result and number theory.

Refreshments will be served in MC 5046 at 3:30 pm. Everyone is welcome to attend.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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