Universal Algebra

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Fundamentals of finite modular lattices, I.”

Over several lectures, I hope to cover some basic results in the theory of finite modular lattices, culminating in the theorem that if L is a finite modular lattice whose atoms join to 1, then L decomposes as a direct product where each factor is either a Boolean algebra or the subspace lattice of a finite projective geometry. If time permits, I will give an application to socles of finite algebras in Taylor varieties.

MC 5403