Pedro V. Silva's Annual Report

Pedro V. Silva's Annual Report

Year: 

2017

Brief description of the research activities: 

(a) (With S. Margolis and J. Rhodes) Study of the subsemigroup complex of a combinatorial Brandt semigroup; the Dowling geometries and the Rhodes order from the viewpoint of boolean representable simplicial complexes; connections with semigroup theory.

(b) (With F. Soares and M.V. Volkov) Characterization of the locally K-finite varieties of semigroups in terms of forbidden objects, for each Green relation K.

(c) (With M.J.J. Branco and G.M.S. Gomes) Relation between the group rank and the semigroup rank for some classes of groups.

(d) (With N. Szakacs) Inverse semigroups admitting polyhyperbolic Schutzenberger graphs.

(e) (With A. Zakharov) Alternative characterizations of the graded submonoids of free groups; decidability results.

Talks / Seminars / Courses : 

Communications in international conferences

Title:
On the subsemigroup complex of an aperiodic Brandt semigroup
Name of the event:
All Kinds of Mathematics Remind me of You: Conference to celebrate the 70th Anniversary of Peter J. Cameron
Speakers
Pedro V. Silva
Date:
24.07.2017 to 27.07.2017
Host institution:
University of Lisbon
Country:
Portugal

Seminars

Title:
On the subsemigroup complex of an aperiodic Brandt semigroup
Speakers
Pedro V. Silva
Date:
22.10.2017
Host institution:
Bar Ilan University
Country:
Israel

Outreach activities: 

Grupos hiperblicos (Seminário Diagonal, FCUP, 28/11/2017) 

Work visits: 

Bar Ilan University (Israel): 22-25/10/2017.