Colloquia

Current Talks


Refreshments are served 30 minutes before each talk in the Conference Room MSPB 335

Date Speaker Talk
Thursday, December 5, 2019 at 3:30 p.m. in MSPB 370 Justin Lynd, University of Louisiana at Lafayette

Fusion Systems

What happens when you take a finite group and try to forget all information about it, except that information in a "neighborhood" of a prime p? You get a "p-local finite group", of course, also called a "p-fusion system". I'll explain what a fusion system is, give a couple of small examples, and interpret some old results on finite groups in this new setting. At the end, I plan to describe briefly what a fusion system can tell you about structures associated to the group in topology and in representation theory.


Previous Talks

 

Date Speaker Talk
Thursday, November 21, 2019 Kuei-Nuan Lin, Penn State University, Greater Allegheny

Blow Up Chemical Reaction Networks

In this talk, I would explain what is a toric dynamical system associated to a chemical reaction network. In the study of chemical reaction networks, the toric methods introduced by Gatermann were formalized by Craciun, Dickenstein, Shiu and Sturmfels in the paper "Toric Dynamical Systems" in 2009. We then define the blow up algebras associated to ideals. Finally, we explore the relation between blow up algebras and chemical reaction networks. This is joint work with David Cox and Gabriel Sosa.

Thursday, November 7, 2019 Brian Pigott, Wofford College

The Stability Problem for KdV Solitons

In this talk we will discuss various approaches to the stability problem for soliton solutions of the KdV equation. The talk will include discussions of orbital stability and asymptotic stability in Sobolev spaces.

Thursday, October 31, 2019 Lucius Schoenbaum, University of South Alabama

Fast Conversion in Redundant Signed Radix 2 Arithmetic

Numbers in the radix n signed digit number system can be added using fully parallel units, i.e., without carry propagation. However, because the signed digit system is redundant, other operations require a unique canonical form. The non-adjacent form, or minimal representation, available in radix 2, provides such a form to each integer value. While the conversion to this canonical form cannot be parallelized, we show that it can be parallelized up to a carry-propagation signal that, up to a constant factor, has the same or shorter critical path (circuit-level complexity) as binary addition using standard adder constructions. This work is relevant to applications in fast arithmetic and cryptography, where signed digit systems and nonadjacent forms are used to evaluate kP (k an integer, P a point on an elliptic curve) in work of Koblitz and others on elliptic curve cryptosystems.

Thursday, October 24, 2019 Dulal K. Bhaumik, University of Illinois at Chicago

Statistical Methodologies for Neuroconnectivity Analysis Using Autistic fMRI Data

The human brain is an amazingly complex network. Aberrant activities in this network can lead to various neurological disorders such as multiple sclerosis, Parkinson’s disease, Alzheimer’s disease and autism. fMRI has emerged as an important tool to delineate the neural networks affected by such diseases, particularly autism. In this talk, we will present a special type of mixed-effects model together with an appropriate procedure for controlling false discoveries to detect disrupted connectivities for developing a neural network in whole brain studies. Results are illustrated with a large dataset known as Autism Brain Imaging Data Exchange (ABIDE) which includes 361 subjects from 8 medical centers.

Tuesday, October 22, 2019 Doug Pfeffer, Berry College

Toeplitz Operators on Constrained Subalgebras

Toeplitz operators are a type of linear transformation defined on a vector space of functions. Specifically, they are transformations whose matrix representations in the basis {zn, n ≥ 0} have constant diagonals. Toeplitz operators are known to model various quantum processes. The space of functions, A, that form the domain of our Toeplitz operators are functions defined on the complex unit disc (complex values z such that |z| ≤ 1) which are differentiable inside the disc and continuous on the unit circle. A lot of work has gone into understanding when the associated quantum processes can be reversed – that is, when these Toeplitz operators are invertible. This further raises questions about their eigenvalues. In this talk we will discuss modern work in this direction. Afterward, we will ask what happens when the underlying algebra A is replaced with a constrained subalgebra of A. In particular, the subalgebra of functions in A that agree at two prescribed points in the unit disc. This talk will include discussions of recent joint work between myself and Michael Jury at the University of Florida and between myself and Ben Russo at Farmingdale State College.

Thursday, October 17, 2019 Barry D. Nussbaum, U.S. Environmental Protection Agency

I Never Met a Datum I Didn’t Like

Data are quite important. And with big data, there are more and more data elements to contend with. The 3 V’s of big data: velocity, volume, and variety attest to this. But are all data created equal? NO. So the statistician has an ongoing and increasingly important role to assure relevant, representative data are being analyzed. This talk will discuss where data analytics meets statistics and some of the great potential and, yes, the pitfalls, of our deriving useful information from all that data. It also includes examples from the author’s real life and the Supreme Court!

Wednesday, October 16, 2019

This talk is aimed at a general audience!

Barry D. Nussbaum, U.S. Environmental Protection Agency

Sixth Satya Mishra Memorial Lecture

It’s Not What We Said, It’s Not What They Heard, It’s What They Say They Heard

Statisticians have long known that success in our profession frequently depends on our ability to succinctly explain our results so decision makers may correctly integrate our efforts into their actions. However, this is no longer enough. While we still must make sure that we carefully present results and conclusions, the real difficulty is what the recipient thinks we just said. This presentation will discuss what to do, and what not to do. Examples, including those used in court cases, executive documents, and material presented for the President of the United States, will illustrate the principles.

Thursday, October 3, 2019 Erich Jauch, Iowa State University

Galois Orders

Galois rings and Galois orders form a class of algebras that contain many important examples such as U(gln), the universal enveloping algebra of the general linear Lie algebra. We will look at a simple example, how to realize U(gln) as a Galois order, and an extension of U(gln).

Thursday, September 19, 2019 Jared Holshouser, University of South Alabama

Geometric Constructibility Through Origami

Historically, a compass and a straightedge were used to construct specific geometric objects. A famous historical problem was how to use these tools to construct a line segment of length the cube root of two. In modern times, using abstract algebra, this is known to be impossible. A benefit of living in modern times, however, is that we have other ways of building geometric objects. In particular, we can use origami. In this talk we will discuss the formal axioms of origami constructions, show how origami can be used to construct a line segment of length the cube root of two, and explore the limits of origami constructions. This will be a hands on talk: be ready to fold paper.

Thursday, September 12, 2019 Daniel Silver, University of South Alabama

Graphs and Links in Surfaces

Knots and links are usually represented by diagrams in the plane or the 2-sphere. More generally, they can be represented in surfaces S of higher genus, and we envision them in the thickened surface S x [0,1]. In this joint work with Susan Williams we explain how graphs and a discrete version of the Laplacian operator from physics can be used to help us understand knots and links in thickened surfaces.

     

For colloquium talks from previous years click here