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Current contact: Thomas Ng and Geoffrey Schneider.
The seminar takes place on Fridays (from 1:30-2:30pm) in Room 617 on the sixth floor of Wachman Hall. Pizza and refreshments are available beforehand in the lounge next door.
Geoff Schneider, Temple University
Brian Paljug, Temple University
-Note different time-
Tim Morris, Temple University
Adam Jacoby, Temple University
Dianbin Bao, Temple University
Thomas Ng, Temple University
Farhan Abedin, Temple University
Eric Stachura, Temple University
Nayeong Kong, Temple University
Matthew Lagro, Temple University
Geoffrey Schneider, Temple University
Timothy Morris, Temple University
Hussein Awala, Temple University
Double layers arise naturally in connection with boundary value problems (BVPs) for second order elliptic operators with datum in Lebesgue spaces on the boundary of the domain in questions. In fact, the solvability of the Dirichlet and Neumann problems hinge on the ability of inverting an operator of the type \(\frac{1}{2}I+T\) on \(L^p\), where \(T\) is of double layer type.
The first part of the talk will be focused on the key tool for inventing such operators in \(L^2\), namely Rellich type identities/estimates. Concretely, we shall show the equivalency of the \(L^2\) norms for the tangential gradient and the normal derivative of a harmonic function in a Lipschitz domain, whose gradients a square integrable non-tangential maximal function. In the context of Lipschitz domains, Rellich estimates have been used first by B. Verchota in his Ph.D. thesis to treat BVPs for the Laplacian.
-Note different time-
Geoffrey Schneider, Temple University
Kathryn Bryant, Bryn Mawr College
Adam Jacoby, Temple University
-Note different time-
Yen Duong, University of Illinois at Chicago
In this introductory talk, we will learn about CAT(0) cube complexes, cumulation, and random groups. This should be accessible to a first year graduate student.
Will Worden, Temple University
Thomas Ng, Temple University
Ziva Myer, Bryn Mawr College
Luca Pallucchini, Temple University
Nayeong Kong, Temple University