This is the second announcement for the Conference in Memory of Aurelio Carboni. The meeting will be held in Milano, June 24 - 26 2013, at the Department of Mathematics "Federigo Enriques" (Universit?? degli Studi). Invited speakers are Dominique Bourn (Universit?? du Littoral, Calais, F) Marino Gran (Universit?? catholique de Louvain, Be) Marco Grandis (Universit?? degli Studi di Genova, I) George Janelidze (University of Cape Town, ZA) Peter T. Johnstone (University of Cambridge, UK) William F. Lawvere (University at Buffalo, US) Giuseppe Rosolini (Universit?? degli Studi di Genova, I) Enrico M. Vitale (Universit?? catholique de Louvain, Be) Robert F. C. Walters (Universit?? degli Studi dell'Insubria, I) Richard Wood (Dalhousie University, Ca) Here follows the conference program. *Monday 24* 13:30 - 14:40 Registration. 14:30 - 14:45 Opening - Silvio Ghilardi (Head of the Dept.) 14:45 - 15:45 "The mathematical heritage of Aurelio Carboni" - Bill Lawvere and George Janelidze. 15:45 - 16:15 coffee break 16:15 - 17:15 "The Snail Lemma" - Enrico M. Vitale 17:15 - 18:15 "Racks and Tangled Circuits" - Bob Walters *Tuesday 25* 9:00 - 10:00 "Mal'cev categories vs protomodular categories" - Dominique Bourn 10:00 - 11:00 "Monotone-light factorisation systems and torsion theories" - Marino Gran 11:00 - 11:30 coffee break 11:30 - 12:30 "Projective and affine aspects in categories" - Marco Grandis 15:00 - 16:00 "Towards axiomatic description of categories of commutative algebras" - George Janelidze 16:00 - 16:30 coffee break 16:30 - 17:30 T.B.A. - Pino Rosolini 20:00 Conference Dinner *Wednesday 26* 9:00 - 10:00 "The geometry (?) of realizability toposes" - Peter T. Johnstone 10:00 - 11:00 "The waves of a total category and total distributivity" - Richard Wood 11:00 - 11:30 coffee break 11:30 - 12:30 "Syntactical Presentations of Objective Abstract Generals and Axiomatizability, Distributors and Distributions" - Bill Lawvere More information about the conference, including the abstracts of the talks, is available at the following url: http://math.unipa.it/metere/Aurelio2013/index.html The conference has no registration fee, and people wishing to partecipate are strongly encouraged to register as soon as possible e in any case within June 15, 2013, by sending an Email to sandra.mantovani@unimi.it or giuseppe.metere@unipa.it. We hope to see you here soon. The organizers: Silvio Ghilardi (Universit?? degli Studi di Milano), Sandra Mantovani (Universit?? degli Studi di Milano), Giuseppe Metere (Universit?? degli Studi di Palermo), Robert F.C. Walters (Universit?? degli Studi dell'Insubria). [For admin and other information see: http://www.mta.ca/~cat-dist/ ]