CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Natural Dualities, Distributive Lattices Matthew Moore, CU
February 1, 2011 Math 220 2-3pm	Abstract Priestley (and Stone) dualities are stated in order to motivate the definition of a natural duality, which gives a natural and categorical way of associating algebraic structures to structured topological spaces. Useful duality theorems will be stated, and the sample application of reconstructing an algebra from its endomorphism monoid will be discussed.

Natural Dualities, Distributive Lattices

Matthew Moore, CU

February 1, 2011

Math 220

2-3pm

Abstract

Priestley (and Stone) dualities are stated in order to motivate the definition of a natural duality, which gives a natural and categorical way of associating algebraic structures to structured topological spaces. Useful duality theorems will be stated, and the sample application of reconstructing an algebra from its endomorphism monoid will be discussed.