Clifford Research Group
Seminars
The venue is auditorium C, building S22, CRG headquarter, i.e.
Galglaan
2,
9000 Ghent, Belgium.
The seminar is held on Monday afternoon, from 14h30 until 15h30.
Prospective speakers can contact Prof. Dr. Hendrik De Bie.
Upcoming seminars (tentative list)
date: 23 April 2012
speaker: Peter Van Lacker (Hogent)
topic: sl(2)-actions in Clifford analysis
abstract:
We will introduce a one-parameter family of sl(2)-actions which arise naturally in the setting of Clifford analysis. The modules for these actions can be expressed in terms of Gegenbauer polynomials.
Amongst this family there is a certain action which also preserves monogenicity and which is closely related tot the notion of axially monogenic functions.
In this talk we will explain how the (generalized) Fueter theorem can be understood in terms of such sl(2)-actions.
The original Fueter theorem is a classical result in quaternionic analysis, which explains how to obtain regular functions (solutions for a generalized Cauchy-Riemann operator), starting from holomorphic functions f(z) in the complex plane C. This result has later been generalized, on several occasions, within the setting of Clifford analysis (see e.g the work of F. Sommen and D. Pena Pena).
(This is joint work with D. Eelbode and V. Soucek)
date: 30 April 2012
speaker: Joris Walraevens (Telin)
date: 7 May 2012
speaker: Tim Raeymaekers (UGent)
date: 14 May 2012
speaker: Kevin Coulembier (UGent)
Previous seminars
Academic year 2011-2012
Academic year 2010-2011
Academic year 2009-2010
Academic year 2008-2009
Academic year 2007-2008
Academic year 2006-2007
Academic year 2005-2006
