You are here: UNE Home / UNE Blogs / Mathematics Seminars

Archive for March, 2009

Cartan Connections and CR Geometry

Tuesday, March 31st, 2009

26th March 2009, 1410 MC206

Dr. Gerd Schmalz

from

UNE

will speak on

Cartan Connections and CR Geometry

The purpose of the seminar is to give an introduction to the technique of Cartan connections. This is a tool to study geometric structures by comparing them to certain homogeneous model structures. The approach goes back to Elie Cartan’s method of moving frames. It has been refined by Ehresmann, Tanaka and others who combined this with Lie algebra techniques and representation theory. Cartan connections are intensively used in modern conformal geometry as well as in CR geometry (the geometry of real submanifolds of complex manifolds).

Gröbner Bases

Sunday, March 22nd, 2009

26th March 2009, 1400 B251

Dr. Garry Bunting

from

UNE

will speak on

Gröbner Bases

In this expository talk I will:

  1. show how Gröbner bases are used to analyse and solve systems of polynomial equations;
  2. explain Buchberger’s algorithm for computing Gröbner bases;
  3. Give the necessary algebraic and geometric background to understand what Gröbner bases do.