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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

Analysis and PDE Seminar

Title:  On a thermodynamically consisted Stefan problem with variable surface energy

Abstract:  Given a filtration of a simplicial complex we can construct a series of invariants called the persistent homology groups of the filtration. In this talk we will give a basic introduction to the theory of persistence and explain how these ideas can be used in data analysis.

 

Date:
-
Location:
745 Patterson Office Tower
Event Series:

"Petro Patrons: Rentier States and Security in the Persian Gulf"

WiPS (Women in Political Science) brings in Dina Badie (Ph.D, Centre College) as its third and last speaker of the fall to present her current research titled "Petro Patrons: Rentier States and Security in the Persian Gulf." Overall, her research focuses on topics involving Security Studies, Oil Politics, Foreign Policy, and Middle East and East Asian Politics. She has published her work in Foreign Policy Analysis, International Studies Perspective, and The Routledge Handbook of American Foreign Policy. 

We look forward to seeing you there!

Date:
-
Location:
Classroom Building Room 204

Ready To Represent: UK will be in full force at the 37th Annual National Women's Studies Association Conference

90 miles to the north of Lexington on the banks of the Ohio River is the “The Queen City.” The nickname itself could probably be the topic of a panel discussion when the 37th annual meeting of the National Women’s Studies Association (NWSA) rolls into town in early November.

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