Difference between revisions of "Analysis Seminar"
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''Integrals of eigenfunctions on hyperbolic manifolds'' | ''Integrals of eigenfunctions on hyperbolic manifolds'' | ||
− | + | Let X be a compact hyperbolic manifold, and let Y be a totally geodesic closed submanifold in X. I will discuss the problem of bounding the integral of a Laplace eigenfunction on X over Y, as the eigenvalue tends to infinity. I will present an upper bound for these integrals that is sharp on average, and briefly describe ongoing work with Farrell Brumley in which we attempt to produce eigenfunctions with very large periods. | |
Revision as of 15:48, 9 July 2018
Analysis Seminar
The seminar will meet Tuesdays, 4:00 p.m. in VV B139, unless otherwise indicated.
If you wish to invite a speaker please contact Brian at street(at)math
Contents
Previous Analysis seminars
Analysis Seminar Schedule
date | speaker | institution | title | host(s) |
---|---|---|---|---|
Sept 11 | Simon Marshall | Madison | Integrals of eigenfunctions on hyperbolic manifolds | |
Sept 18 | Person | Institution | Title | Sponsor |
Sept 25 | Gunther Uhlman | University of Washington | Title | Qin Li |
Oct 2 | Person | Institution | Title | Sponsor |
Oct 9 | Person | Institution | Title | Sponsor |
Oct 16 | Person | Institution | Title | Sponsor |
Oct 23 | Person | Institution | Title | Sponsor |
Oct 30 | Person | Institution | Title | Sponsor |
Nov 6 | Person | Institution | Title | Sponsor |
Nov 13 | Person | Institution | Title | Sponsor |
Nov 20 | Thanksgiving! | |||
Dec 4 | Person | Institution | Title | Sponsor |
Jan 22 | Person | Institution | Title | Sponsor |
Jan 29 | Person | Institution | Title | Sponsor |
Feb 5 | Person | Institution | Title | Sponsor |
Feb 12 | Person | Institution | Title | Sponsor |
Feb 19 | Person | Institution | Title | Sponsor |
Feb 26 | Person | Institution | Title | Sponsor |
Mar 5 | Person | Institution | Title | Sponsor |
Mar 12 | Person | Institution | Title | Sponsor |
Mar 19 | Spring Break!!! | |||
Apr 2 | Person | Institution | Title | Sponsor |
Apr 9 | Person | Institution | Title | Sponsor |
Apr 9 | Person | Institution | Title | Sponsor |
Apr 16 | Person | Institution | Title | Sponsor |
Apr 23 | Person | Institution | Title | Sponsor |
Apr 30 | Person | Institution | Title | Sponsor |
Abstracts
Simon Marshall
Integrals of eigenfunctions on hyperbolic manifolds
Let X be a compact hyperbolic manifold, and let Y be a totally geodesic closed submanifold in X. I will discuss the problem of bounding the integral of a Laplace eigenfunction on X over Y, as the eigenvalue tends to infinity. I will present an upper bound for these integrals that is sharp on average, and briefly describe ongoing work with Farrell Brumley in which we attempt to produce eigenfunctions with very large periods.
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