Derivatives and the "Modularity Conjecture"
11/01/2013 Sextafeira, 11 de Janeiro de 2013, 14:30, IIIUL  Sala B101
Wolfram Bentz (CAUL/FCUL)
Institute for Interdisciplinary Research  University of Lisbon
In 1984, Garcia and Taylor formulated the "Modularity Conjecture", which states that the join of two noncongurence modular varieties is noncongruence modular. We show that the conjecture holds for the special case of linear idempotent varieties. Our proofs rely on Dent, Kearnes, and Szendrei´s recently introduced concept of the derivative of an equational theory. Similar consequences have been obtained using another version of the derivative due to Freese. We will give an overview of the notions and of our results. This is joint work with Luis Sequeira.
