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.

• Friday January 30, 2015 at 14:30, Wachman 617
(Co)sheaves and applications

Geoff Schneider, Temple University

• Friday February 6, 2015 at 14:30, Wachman 617
Homotopy probability theory

Brian Paljug, Temple University

• Friday February 13, 2015 at 15:00, Wachman 617
A gentle introduction to Fuchsian groups

-Note different time-

Tim Morris, Temple University

• Friday February 20, 2015 at 14:30, Wachman 617
Introduction to Frobenius algebras

• Friday March 13, 2015 at 14:30, Wachman 617
An introduction to the web of modularity.

Dianbin Bao, Temple University

• Friday March 20, 2015 at 14:30, Wachman 617
Non-positively curved state complexes and the special groups that act on them.

Thomas Ng, Temple University

• Friday March 27, 2015 at 14:30, Wachman 617
A PDE proof of the isoperimetric inequality.

Farhan Abedin, Temple University

• Friday April 3, 2015 at 14:30, Wachman 617
The physics (and mathematics) of negative refraction

Eric Stachura, Temple University

• Friday April 10, 2015 at 14:30, Wachman 617
Models in random graphs

Nayeong Kong, Temple University

• Friday April 17, 2015 at 14:30, Wachman 617
A Perron-Frobenius type of theorem for quantum operations.

Matthew Lagro, Temple University

• Friday April 24, 2015 at 14:30, Wachman 617
A rough introduction to Taylor series

Geoffrey Schneider, Temple University

• Friday September 4, 2015 at 14:30, Wachman 617
The surface subgroup theorem

Timothy Morris, Temple University

• Friday September 11, 2015 at 14:30, Wachman 617
Inverting double layers on Lebesgue spaces on the boundary of Lipschitz domains

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.

• Friday September 18, 2015 at 15:15, Wachman 617

-Note different time-

Geoffrey Schneider, Temple University

• Friday October 2, 2015 at 14:30, Wachman 617
4-manifolds and why we love them

Kathryn Bryant, Bryn Mawr College

• Friday October 16, 2015 at 14:30, Wachman 617
Morita equivalence

• Friday October 23, 2015 at 13:00, Wachman 617
An introduction to cube complexes and random groups

-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.

• Friday October 30, 2015 at 14:30, Wachman 617
Minkowski space: where hyperbolic geometry meets special relativity

Will Worden, Temple University

• Friday November 6, 2015 at 14:30, Wachman 617
Finite state automata and relations to group theory

Thomas Ng, Temple University

• Friday November 13, 2015 at 14:30, Wachman 527
Product structures for Legendrians from generating families

Ziva Myer, Bryn Mawr College

• Friday November 20, 2015 at 14:30, Wachman 617
An example of a nonsolvable partial differential equation

Luca Pallucchini, Temple University

• Friday December 4, 2015 at 14:30, Wachman 617
The limit of empirical spectral distribution (ESD) of random geometric graph

Nayeong Kong, Temple University