Fall 2024
Time & Location: All talks are on Wednesday in different places, at 3:00 PM .
Organizer: Katerina Gkogkou and Ken McLaughlin
Topic: Umbral calculus, a method for symbolic computation
Christophe Vignat - Tulane University
Abstract: Umbral calculus is a computation method that represents a sequence of numbers or functions as a sequence of moments. It allows a significant simplification in the computation of some sequences, such as those associated with orthogonal polynomials.
This talk will introduce umbral calculus through some examples such as Hermite or Gegenbauer polynomials, and will show some applications.
Location: Dinwiddie 102
Time: 2:00pm
October 16,
Topic: Four weeks on the nonlinear Schrodinger equation
Katerina Gkogkou and Ken McLaughlin – Tulane University
Abstract: This will be an informal working group, learning about the long time asymptotic behavior of the defocusing NLS equation, based on a combination of Riemann-Hilbert and d-bar techniques.
Location: Boggs 104
Time: 3:00pm
October 23,
Topic: Four weeks on the nonlinear Schrodinger equation
Katerina Gkogkou and Ken McLaughlin – Tulane University
Abstract: This will be an informal working group, learning about the long time asymptotic behavior of the defocusing NLS equation, based on a combination of Riemann-Hilbert and d-bar techniques.
Location: Jones Hall 108
Time: 3:00pm
October 30,
Topic: Four weeks on the nonlinear Schrodinger equation
Katerina Gkogkou and Ken McLaughlin – Tulane University
Abstract: This will be an informal working group, learning about the long time asymptotic behavior of the defocusing NLS equation, based on a combination of Riemann-Hilbert and d-bar techniques.
Location: Boggs 104
Time: 3:00pm
November 6,
No Meeting
November 13,
Topic: Four weeks on the nonlinear Schrodinger equation
John Lopez – Tulane University
Abstract: This will be an informal working group, learning about the long time asymptotic behavior of the defocusing NLS equation, based on a combination of Riemann-Hilbert and d-bar techniques.
Today, John will give us an overview of where we are, and then continue explaining the Parabolic Cylinder parametrix and its use for good and for evil.
Location: Boggs 104
Time: 3:00pm
November 13,
Topic: Four weeks on the nonlinear Schrodinger equation – week 5!
Ken McLaughlin – Tulane University
Abstract: This will be an informal working group, learning about the long time asymptotic behavior of the defocusing NLS equation, based on a combination of Riemann-Hilbert and d-bar techniques.
Today:
1. A summary of what the past 4 weeks have yielded: a description of the behavior of “all” solutions of the nonlinear Schroedinger equation in the long-time regime.
2. A summary of the fundamental steps in the analysis.
3. If there is any time at the end, some “sick tricks”.
Location: Jones Hall 108
Time: 3:00pm
