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Analysis and PDE Seminar

Title:  Lp norms of eigenfunctions and Kakeya-Nikodym averages

Abstract:  We consider the problem of determining upper bounds on the growth of L^p norms of eigenfunctions of the Laplacian on a compact Riemannian manifold. After an introduction to the problem, we will discuss recent works of C. Sogge and the speaker with C. Sogge relating such growth to mass concentration in frequency dependent tubes about geodesic segments. We then show that this yields improved L^p bounds for manifolds with nonpositive sectional curvatures, extending a result of Sogge-Zelditch to higher dimensions.





 

Date:
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Location:
745 Patterson Office Tower

Davis Bottom: Rare History, Valuable Lives

"Davis Bottom: Rare History, Valuable Lives" reveals the fascinating history of a working-class neighborhood established in Lexington after the Civil War. Davis Bottom is one of about a dozen ethnic enclaves settled primarily by African-American families who migrated to Lexington from the 1860s to the 1890s in search of jobs, security and opportunity. 

The documentary is part of the Kentucky Archaeology and Heritage Series, produced by Voyageur Media Group, Inc. for the Kentucky Archaeological Survey and the Kentucky Heritage Council. The series is distributed by Kentucky Educational Television (KET) to viewers, teachers and students throughout the state. Wednesday's advance screening, part of the first-ever Kentucky Archaeology Month activities, is free and open to the public.

Date:
-
Location:
W T Young Library Auditorium
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