2012 | 2013 | 2014 | 2015 | 2016 | 2017
Current contact: Thomas Ng and Zachary Cline.
The seminar takes place on Fridays (from 1:00-2:00pm) in Room 617 on the sixth floor of Wachman Hall. Pizza and refreshments are available beforehand in the lounge next door.
Elif Altinay-Ozaslan, Temple University
Timothy Morris, Temple University
Thomas Ng, Temple University
Zachary Cline, Temple University
Adam Jacoby, Temple University
Kathryn Lund, Temple University
Thomas Ng, Temple University
We will explore the definition and properties of this object and its role in studying 2 and 3 dimensional topology. With some luck we will see the definition of a simplicial complex, hear a little about the mapping class group (the group of homeomorphisms of a surface... sorta), or stumble across a unicorn or two (provided we are punctured).
Timothy Morris, Temple University
James Rosado, Temple University
Presentation on a new efficient algorithm to construct partitions of a special class of equiangular tight frames (ETFs) that satisfy the operator norm bound established by a theorem of Marcus, Spielman, and Srivastava (MSS), which they proved as a corollary yields a positive solution to the Kadison–Singer problem.
Tai-Danae Bradley, CUNY Graduate Center
Operads are, loosely speaking, gadgets that encode various flavors of algebras: associative, commutative, Lie, A-infinity, etc., and they have a wide range of applications: deformation theory, algebraic topology, and mathematical physics, to name a few. While the formal definition of an operad may look daunting, we’ll see that it is really quite intuitive. To begin, we’ll have a brief discussion of symmetric monodical categories (which are needed to define operads) and then proceed to define and look at examples of operads.
Zachary Cline, Temple University
Ahmad Sabra, University of Warsaw
In this talk we will consider the following system of ODE $$Z'(t) = H(t; Z(t), Z(z_1(t)), Z'(t), Z'(z_1(t))), \qquad Z(0) = 0$$ with $Z=(z_1, \dots, z_n) \in \mathbb{R}^n$ and $H(\mathbb{R}^{4n+1} \to \mathbb{R}^n)$ a given Lipschitz continuous function. We show using a fixed point argument that under some conditions on $H$ the system has a unique local solution. We use this result to construct lenses that refract bichromatic rays (2 colors) emitted from a point source into a parallel beam.