Wed, January 11, 2017
Public Access

Category:
Category: All

11
January 2017
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8:00am  
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11:00am  
12:00pm  
1:00pm  
2:00pm [2:30pm] Prof. Shrawan Kumar, (University of North Carolina)
Description:
Title: Representation ring of Levi subgroups versus cohomology ring of flag varieties Abstract: attached as pdf
3:00pm  
4:00pm [4:00pm] Math Colloquium
Description:
Speaker: Manas Rachh, Yale University Title: Integral equation formulation of the biharmonic problem with Dirichlet boundary conditions Abstract: In this talk, we present a novel integral representation for the Dirichlet problem of the biharmonic equation. To obtain the representation, the Dirichlet problem is first converted into a related Stokes problem for which the Sherman-Lauricella integral representation can be used. However, not all potentials for the Dirichlet problem correspond to a potential for Stokes flow, and vice-versa, but we show that the integral representation can be augmented and modified accordingly, with careful attention paid to the case of multiply connected domains. The resulting integral representation has a kernel with a lower order singularity (as a function of the ambient space) than classical representations. We illustrate the accuracy, and conditioning of our method with several numerical examples.
5:00pm  
6:00pm