Presented by: Daniel Sage (LSU)

In this talk, I describe a new approach (joint with C. Bremer) to the  study of systems of meromorphic linear ODEs using methods of representation theory.   In this theory, one associates a “fundamental stratum”—data  involving an appropriate filtration on the loop algebra--to an ODE at each singular point. Intuitively, this stratum plays the role of the local “leading term” of the differential equation and can be used to give a precise measure of how irregular the ODE is at each singularity. These methods have applications to various geometric and combinatorial problems involving ODEs.  In particular, I will discuss how they can be used to construct well-behaved moduli spaces of meromorphic ODEs with irregular singularities.

About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics. 

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

  • computer 
  • data projector
  • chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.


Mansergh Shaw Building (45)