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"Davis Bottom: Rare History, Valuable Lives" Premiere

The Kentucky Archaeological Society will host a screening of "Davis Bottom: Rare History, Valuable Lives" at Farish Theater at the Lexington Public Library. In addition to screening the hour-long documentary, viewers will be able to meet some of the sponsors and the program producer. After the documentary, attendees will be able to participate in a discussion about the critical role primary documents played in telling the neighborhood's story.  

For more information about the Davis Bottom Project, click here

Date:
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Location:
Farish Theater, Lexington Public Library, 140 Main St

Analysis and PDE Seminar

Title:  Smoothness of isometries between subRiemannian manifolds

Abstract:  In a joint work with Enrico Le Donne (Jyvaskyla, Finland), we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.

Date:
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Location:
215 White Hall Classroom Building

Analysis and PDE Seminar

Title:  Higher-order analogues of the exterior derivative complex

Abstract:  I will discuss some earlier joint work with E. M. Stein concerning div-curl type inequalities for the exterior derivative operator and its adjoint in Euclidean space R^n. I will then present various higher-order generalizations of the notion of exterior derivative, and discuss some recent div-curl type estimates for such operators. Part of this work is joint with A. Raich.

Date:
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Location:
745 Patterson Office Tower
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