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Colloquium – Maria Laura delle Monache (Inria Grenoble – Rhône Alpes)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Topic:  Control of traffic flow: from ramp metering to autonomous vehicles Abstract: In this talk, we will consider different control frameworks for traffic flow. In particular, we will show the evolution of traffic control from classical strategies (for example ramp-metering) to more modern approaches using autonomous vehicles. We will introduce different ways to describe mathematically

Colloquium – Rodrigo Bañuelos, Purdue University

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title:  On the discrete Hilbert transform   Abstract:  The discrete Hilbert transform, acting on the space of (doubly infinite) sequences, was introduced by David Hilbert at the beginning of the 20th century. It is the discrete analogue of the continuous Hilbert transform acting on functions on the real line (conjugate function in the periodic case).

Colloquium – Kyungyong Lee, University of Nebraska-Lincoln

Topic:  Introduction to cluster algebras Abstract: The theory of cluster algebras is one of the most mathematically well-studied areas in mathematical physics. Since its discovery in 2001, it has been shown that cluster algebras are related to diverse areas of mathematics such as algebraic geometry, commutative algebra, knot theory, total positivity, quiver representations, string theory, statistical

Colloquium – Bo Li, University of California, San Diego

302 Gordon Palmer Hall

Title:  Predict the Ligand-Receptor Binding/Unbinding Kinetics with the Variational Implicit-Solvent Model and the String Method Abstract:  The ligand-receptor binding/unbinding is a complex biophysical process in which water plays a critical role. To understand the fundamental mechanisms of such a process, we have developed a new and efficient approach that combines our level-set variational implicit-solvent model

Colloquium – Ken Ono, Emory University

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Topic:  Polya’s Program for the Riemann Hypothesis and Related Problems Abstract: In 1927 Polya proved that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for Riemann’s Xi-function. This hyperbolicity has only been proved for degrees d=1, 2, 3. We prove the hyperbolicity of 100% of the Jensen polynomials of every degree. We

Colloquium – Xiaofeng Ren, George Washington University

Topic:  Non-hexagonal lattices from a two species interacting system Abstract: A two species interacting system motivated by the density functional theory for triblock copolymers contains long range interaction that affects the two species differently. In a two species periodic assembly of discs, the two species appear alternately on a lattice.  A minimal two species periodic assembly

Colloquium – Mark Behrens, University of Notre Dame

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: "Current themes in the study of the  homotopy groups of spheres" Abstract: I will summarize the current state of affairs of the study of the stable homotopy groups of spheres, and will describe some connections to algebraic and differential geometry.

Colloquium – Xiaofan Li, Illinois Institute of Technology

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Numerical simulations of macroscopic quantities for stochastic differential equations with alpha-stable processes Abstract: The mean first exit time, escape probability and transitional probability density are utilized to quantify dynamical behaviors of stochastic differential equations with non-Gaussian, $\alpha$-stable type L\'evy motions. Taking advantage of the Toeplitz matrix structure of the time-space discretization, a fast and