Research Seminars: Applied and Computational Mathematics

Spring 2020

Time & Location: Typically talks will be Friday in Gibson Hall 310 at 3:00 PM.
Organizers: Nathan Glatt-Holtz and Kun Zhao

Archives

 

February 7

Title: Classical Mechanics, Symplectic Geometry, Combinatorics

Teddy Amdeberhan | Tulane University

Postponed to March 27, at 3:00 pm, Gibson Hall 310

 

February 14

 

Title: TBA

Speaker | institution

Abstract:

TBA

 

February 21

Title: A perfect numerical scheme for large-scale geophysical flows?

Qingshan Chen | Clemson

Abstract:

Abstract: A new scheme, based on the vorticity and divergence variables, is developed using the the Hamiltonian approach. The scheme operates on unstructured meshes over a globe or a bounded domain, conserves both energy and enstrophy, and possesses the optimal dispersive wave relations, which is crucial for the maintenance of the geostrophic balance within the flow. The main ideas behind the derivation will be reviewed, and results from a suite of test cases will be presented to demonstrate the superior advantages as well as the limitations of the new scheme.

Authors: Qingshan Chen, Lili Ju, Roger Temam

 

February 28 Cancelled

Title: Spectral properties of quasicrystals

Jake Fillman | Texas State

Abstract:

Discovered by D. Shechtman in the early 1980s, quasicrystals are materials whose molecular structure is characterized by aperiodicity (the absence of translation symmetries) and long-range order. The study of these objects involves a beautiful synthesis of many areas of mathematics, including  topology, dynamical systems, harmonic analysis, and spectral theory. We will introduce background and discuss operator-theoretic models of quasicrystals. Along the way, we will highlight interesting features of these models, recent progress, and open problems.

Cancelled

 

March 6

Title: TBA

Speaker | institution

Abstract:

TBA

 

March 13

Title: TBA

Speaker | institution

Abstract:

TBA

 

March 20

Title: TBA

Speaker | institution

Abstract:

TBA

 

March 27

Title: Classical Mechanics, Symplectic Geometry, Combinatorics

Teddy Amdeberhan | Tulane University

Abstract:

In this semi-expository talk, we give a brief on classical mechanics in the Hamiltonian setting, describe it in the symplectic framework and draw out some interesting combinatorics. The discussion will be accessible to all.

 

April 3

Title: TBA

Speaker | institution

Abstract:

TBA

 

April 10

No Class

 

April 17

Title: TBA

Speaker | institution

Abstract:

TBA

 

April 17

Title: TBA

Speaker | institution

Abstract:

TBA

 

April 24

Jazz Fest

May 01

Jazz Fest