Date : July 21-31, 2015
Venue : Room B301 (3rd floor in Building B), Graduate School of Science,
Kobe University, Japan
TOPICS
The objective of the first week is to provide an introduction to Gröbner bases in the commutative and non-commutative aspect.
Several applications will be presented, in particular to solve computational
problems in the rings of differential operators and in homological algebra.
We will expose the notion of Gröbner bases for several type of algebras
such as associative algebras, Lie algebras and path algebras.
We will give a description of the operations of integral transformation
and restriction on modules over the rings of differential operators based
on non-commutative Gröbner bases.
We will present several methods allowing to compute projective
resolutions using
Gröbner bases. We will also show the relations between Gröbner bases
theory and rewriting theory.
The lectures of the first week do not need any prerequisite on Gröbner
bases.
The objective of the second week is to provide basic backgrounds of
quivers and their application to other fields.
As one of such applications, we will explain the geometry of
moduli spaces of meromorphic connections on the projective line with
(ir)regular singularities.
NEWS
10/30/2014
We started the homepage of ``Kobe-Lyon Summer School in Mathematics 2015''.
4/10/2015
The program of workshop is fixed. Please check here.
6/2/2015
The abstract of workshop is published. Please check here.