# Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics
**Dr. Markus
Rosenkranz**, School of Mathematics, Statistics and Actuarial Science (SMSAS), University of Kent,
will give a public talk (followed by a discussion) on **Wed, June 24, 2009**
at **15:15 o'clock** at **HS 13**
on the topic of
"Linear Boundary Problems in Symbolic Computation"
. The organziers of the symposium,

Univ.-Prof. Dr. Gerhard Larcher

A.Univ.-Prof. Dr. Jürgen Maaß, and

die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

### Linear Boundary Problems in Symbolic Computation

Despite their undisputed importance in applications, linear boundary problems have long been neglected in Symbolic Computation. In our work, we have introduced an algebraic machinery that allows to treat boundary problems within Symbolic Computation - stating, solving, multiplying, and factoring them.

Describing the relevant operator algebras through noncommutative polynomials and Groebner bases, we have set up a symbolic calculus for manipulating differential, integral and boundary operators in a unified framework. This includes in particular the Green's operator solving a given boundary problem.