**Preseminar
for graduate students:**

**Jon Nimmo** Introduction to
quasi-determinants

**Workshop Programme:**

** Mahmood-ul Hassan: **** **Some aspects of the noncommutative
principal chiral model

** Folkert Mueller-Hoissen:**** **A class
of "partially linearizable" PDEs on associative algebras

** and**

Lump
solutions of the KP and the pseudodual chiral model hierarchy

** Olaf Lechtenfeld**: The
non-commutative sine-Gordon model

**and**

N=4
mechanics, WDVV equations and roots

** **

**Location:
Room ???, Department of Mathematics.**

**Titles and abstracts: T.B.A.**

Dr. Mueller-Hoissen

Title: A class of "partially linearizable" PDEs on associative
algebras

Abstract:

In the framework of bidifferential graded algebras we consider a class of

nonlinear partial differential (or difference) equations (with dependent

variable in an associative and typically noncommutative algebra), for which a

method exists generating exact solutions from a certain linear system of

PDEs. Special examples within this class are the self-dual Yang-Mills

equation and the Kadomtsev-Petviashvili (KP)
hierarchy (in an associative

algebra). All this is based on joint work with A. Dimakis.

Title: Lump solutions of the KP and the pseudodual chiral model hierarchy

Abstract:

As an application of results of my previous talk, in particular (ordinary and

anomalous) multi-lump solutions of the scalar KP-I hierarchy are recovered

(via matrix KP solutions) and corresponding solutions of the hierarchy of the

"pseudodual chiral model" in 2+1 dimensions ("pseudodual"
to Ward's

integrable chiral model) are obtained. This is essentially based on

Dimakis and Mueller-Hoissen, arXiv:0706.1373, arXiv:0712.3689.

Updated
3^{rd} April 2008