PIMS Distingished Speaker: Wolfram Bentz
- Date: 09/19/2013
Lecturer(s):
Wolfram Bentz, University of Lisbon
Location:
University of Northern British Columbia
Topic:
Duality, the ghost element method, and an application to supernilpotent algebras
Description:
Natural dualities, such as Stone duality, are useful because they allow one to translate algebraic questions into the potentially simpler and usually more intuitive setting of a topological structure.
Dualities are also tricky, in the sense that it takes a fair amount of initial work to grasp the concept of a duality in its full generality.
Fortunately, there exist various established methods that allow one to obtain results without having to review the complete underlying theory. In this talk I will give a background on the ghost element method, which is used to show the non-dualizibility of an algebra. We will also present a recent result by P. Mayr and the author who used the ghost element method to show that any super-nilpotent non-abelian algebra cannot be dualized.
Dualities are also tricky, in the sense that it takes a fair amount of initial work to grasp the concept of a duality in its full generality.
Fortunately, there exist various established methods that allow one to obtain results without having to review the complete underlying theory. In this talk I will give a background on the ghost element method, which is used to show the non-dualizibility of an algebra. We will also present a recent result by P. Mayr and the author who used the ghost element method to show that any super-nilpotent non-abelian algebra cannot be dualized.
Other Information:
Location: Room 6-307 (UNBC Conference Centre)