Pedro V. Silva's Annual Report

Pedro V. Silva's Annual Report

Year: 

2015

Brief description of the research activities: 

(a) Boolean representable simplicial complexes of dimension 2: homotopy type, characterization of the sequentially Cohen-Macaulay complexes, EL-labellings, characterization of the lattices of flats (with Stuart Margolis and John Rhodes).
(b) Delay pseudovarieties, semaphore codes and random walks: study of random walks on the Cayley graphs of right congruences on De Bruijn's semigroups, profinite limits (with John Rhodes and Anne Schilling).
(c) Takahasi semigroups: characterization of semigroups where each ascending chain of bounded rank subsemigroups is stationary (with M\'ario Branco and Gracinda Gomes).
(d) Locally finite varieties of semigroups relatively to some Green's relation: study of varieties of (inverse, completely regular) semigroups where each finitely generated subgroups has only finitely many K-classes for K = J,D,R,L,H (with Filipa Soares).
(e) Uniformly continuous automorphisms of self-similar groups for the tree metric: all automorphisms of the lamplighter group are uniformly continuous for the metric defined through the first level where two elements of the group (seen as tree automorphisms) differ (with Francesco Matucci).
(f) Hereditarily continuous functions: for a pseudovariety V of monoids of certain type (p-groups, groups, aperiodic monoids, monoids), characterization of the functions from A* (or N^k or Z^k) into Z which are uniformly continuous with respect to the pro-W metric for every pseudovariety W of V (with Jean-Eric Pin).

Talks / Seminars / Courses : 

Communications in international conferences

Title:
Complexity advances in equations over semigroups
Name of the event:
First Joint International Meeting A.M.S./E.M.S./S.P.M. (Special session on Algebraic Theory of Semigroups and Applications)
Speakers
Pedro V. Silva
Talk:
Invited talk
Date:
10.06.2015 to 13.06.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto
Title:
Compact completions: from hyperbolic to self-similar groups
Name of the event:
First Joint International Meeting A.M.S./E.M.S./S.P.M. (Special session on New Trends in Automata Groups and Semigroups)
Speakers
Pedro V. Silva
Talk:
Invited talk
Date:
10.06.2015 to 13.06.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto
Title:
The homotopy type of boolean representable simplicial complexes
Name of the event:
First Joint International Meeting A.M.S./E.M.S./S.P.M. (Special session on Algebraic Combinatorics)
Speakers
Pedro V. Silva
Talk:
Contributed talk
Date:
10.06.2015 to 13.06.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto
Title:
Virtually free speech
Name of the event:
Automata, Logic, Formal Languages, Algebra (ALFA'15)
Speakers
Pedro V. Silva
Talk:
Invited talk
Date:
15.06.2015 to 17.06.2015
Host institution:
University of Bordeaux
Country:
France
Location / City:
Bordeaux
Title:
The tree completion of an automaton group
Name of the event:
7thWorkshop on Non-Classical Models of Automata and Applications (NCMA 2015)
Speakers
Pedro V. Silva
Talk:
Contributed talk
Date:
31.08.2015 to 01.09.2015
Host institution:
University of Porto
Country:
Portugal
Location / City:
Porto
Title:
Extending endomorphisms of hyperbolic groups to the boundary
Name of the event:
Geometric and Asymptotic Group Theory with Applications (GAGTA 9)
Speakers
Pedro V. Silva
Talk:
Invited talk
Date:
14.09.2015 to 18.09.2015
Host institution:
Institut de Mathématiques de Luminy
Country:
France
Location / City:
Marseille

Prizes / Distinctions: 

Best paper award at the 10th International Computer Science Symposium in Russia, CSR 2015 (with Volker Diekert, Florent Martin and Géraud Sénizergues: Equations over free inverse monoids with idempotent variables).