Speaker: Victor Petrogradsky, University of Brasilia (Brazil)
Date/Time: August 14, 2015, 10:00a.m.
Room: HH-2010
Title: Fibonacci Lie algebra and its properties

Abstract:
We discuss properties of Fibonacci (restricted) Lie algebra.

This algebra is a natural analogue of Grigorchuk and Gupta-Sidki groups.

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Speaker: Salvatore Siciliano, University of Salento (Italy)
Date/Time: Thursday, July 23, 2015, 11 a.m.
Room: HH-2010
Title: Outer restricted derivations of nilpotent restricted Lie algebras

Abstract: 
We characterize finite-dimensional nilpotent restricted Lie algebras having an outer restricted derivation whose square is zero. This is the restricted analogue of a result of Togo on the existence of nilpotent outer derivations of ordinary nilpotent Lie algebras in arbitrary characteristic and the Lie-theoretic analogue of a classical group-theoretic result of Gaschutz on the existence of p power automorphisms of p-groups. Ths is a joint work with J. Feldvoss and Th. Weigel.

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Speaker: Shadi M. Shaqaqha, Memorial University of Newfoundland
Time/Date: Wednesday, June 24, 2015, 1 p.m.
Room: HH-3017
Title: Hilbert series free Lie superalgebras and related topics

Abstract:
The presentation talks about Hilbert series of (color) Lie (p-) (super)algebras. We first consider the dimensions formula similar to Witt's formula, called character formula. We then explain an analogue of a well-known Schreier formula for free algebras. Finally, we discuss some applications.

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Speaker: Alicia Labra, University of Santiago (Chile)
Date/Time: Wednesday, April 29, 2015, 1 p.m.
Room: HH-3017
Title: Representations of generalized almost-Jordan algebras

Abstract:

This talk deals with generalized almost-Jordan algebras, that is, the variety of commutative algebras satisfying the identity β(yx2)x − ((yx)x)x+γyx3 − ((yx)x)x = 0, where β, γ are scalars.

We present a characterization of representations and irreducible modules on these algebras. Our results require that the characteristic of the ground field is different from 2,3.

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Speaker: Yuri Bahturin, Memorial University of Newfoundland
Date/Time: Wednesday April 8, 2015 from 1 p.m.
Room: HH-3017
Title: Real graded simple algebras III

Abstract:
This is the final talk on the entitled topic. I am now ready to present the classification of real graded simple algebras, obtained jointly with Professor Mikhail Zaicev of Moscow State University.

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Speaker: Yuri Bahturin, Memorial University of Newfoundland
Date/Time: Wednesday, March 25, 2015, 1 p.m.
Room: HH-3017
Title: Real graded simple algebras II

Abstract:
I will present some recent results on the classification of real graded simple algebras obtained jointly with Professor Mikhail Zaicev of Moscow State University.

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Speaker: Michael Watson, Memorial University of Newfoundland
Date/Time: Thursday, March 12, 2015, 1 p.m.
Room: HH-3017
Title: Ramsey Theory

Abstract:
The Ramsey Theorem guarantees that if the number of vertices on a 2-colored complete graph is large enough, then we are guaranteed to find some structure of a desired size. This can be generalized to a k-coloring, where k is a finite positive integer. We will explore the proofs of these theorems and some of their applications.

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Speaker: Yuri Bahturin, Memorial University of Newfoundland
Date/Time: Wednesday, March 4, 2015, 1 p.m.
Room: HH-3017
Title: Real graded simple algebras

Abstract:
I will present some recent results on the classification of real graded simple algebras obtained jointly with Professor Mikhail Zaicev of Moscow State University.

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Speaker: Helen Dos Santos, Memorial University of Newfoundland
Date: Wednesday, February 25, 2015, 1 p.m.
Room: HH-3017
Title: Group gradings on simple Lie superalgebra Q(n)

Abstract:
We will show how the problem of the classification (up to isomorphism) of all the abelian group gradings on the Lie superalgebra Q(n) is reduced to the classification (up to isomorphism) of the abelian group gradings on the Lie algebra sl(n+1), which is already known.

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Speaker: Diogo Diniz Pereira da Silva e Silva, Federal University of Campina Grande (Brazil) / Memorial University of Newfoundland
Time/Date: Wednesday, February 18, 2015, 1 p.m.
Room: HH-3017
Title: A primeness property for the central polynomials of verbally prime P.I. algebras

Abstract:
The question about the existence of nontrivial central polynomials for the matrix algebras M_n(K) of n × n matrices over a field K was posed by Kaplansky in 1956. This question was answered in 1972 − 1973 independently by Formanek and Razmyslov. As an analogue of the corresponding result for the polynomial identities of M_n(K) Regev proved the following:

Theorem [Regev] Let K be an infinite field and let f(x₁, . . . , x_r) and g(x_r+1, . . . , x_s) be two noncommutative polynomials in disjoints sets of variables. Assume that f(x₁, . . . , x_r)·g(x_r+1, . . . , x_s) is central but not an identity for M_n(K). Then both f(x) and g(x) are central polynomials for M_n(K).

It turns out that the algebras M_n(K) are examples of verbally prime algebras. These algebras were introduced by Kemer in his solution to the problem posed by Specht as to whether associative algebras have a finite basis of identities. Kemer also proved that verbally prime algebras have nontrivial central polynomials. In this talk we discuss this primeness property for the central polynomials of other verbally prime algebras.

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Speaker: Huadong Su, Memorial University of Newfoundland
Time/Date: Friday, January 30, 2015, 2 p.m.
Room: HH-3017
Title: A study of unit graphs and unitary Cayley graphs associated with rings

Abstract:
We talk about our study of the unit graph G(R) and the unitary Cayley graph Γ(R) of a ring R and their relations with the structure of the ring R.

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Speaker: Eduardo Martinez-Pedroza, Memorial University of Newfoundland
Time/Date: Monday, January 19, 2015, 1 p.m.
Room: HH-3017
Title: Homological isoperimetric inequalities

Abstract:
For a nice metric space, the isoperimetric inequality is a geometric inequality that bounds the area of the minimal disk enclosed by a closed curve in terms of the length of the curve. There are homological versions of these inequalities for topological complexes. In this talk, I will define this type of inequalities and report on recent work answering a question posed by Groves and Manning. The results relate the homological isoperimetric inequality of a complex with graph theoretic properties of its one-skeleton.

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Speaker: Caio De Naday Hornhardt and Helen Samara Dos Santos, Memorial University of Newfoundland
Time/Date:
Thursday, October 2, 2014 at 11:00 a.m.,
Thursday, October 9, 2014 at 11:00 a.m.,
Wednesday, October 15, 2014 at 1:00 p.m.,
Wednesday, October 22, 2014 at 1:00 p.m.
Room: SN-2036 and HH-3017
Title: Simple Lie superalgebras and their classification. I-IV

Abstract:
In this talk we are going to introduce the concept of Lie Superalgebra and define the two types that a simple Lie Superalgebra can be: Classical and Cartan. A complete list the of the classical ones will be presented as well as the tools to be used to show their simplicity.

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Speaker: Iren Darijani, Memorial University of Newfoundland
Time/Date: Wednesday, October 8 , 2014 at 4:00 p.m.
Room: A-1049
Title:  The classification of [p]-nilpotent restricted Lie algebras of dimension 5

Abstract: 
Any finite dimensional [p]-nilpotent restricted Lie algebras is nilpotent by Engel's theorem. We use, as our starting point, the classification of nilpotent Lie algebras of dimension 5 and classify the possible equivalence classes of [p]-maps on these Lie algebras.In this talk, first we will explain the method we use to classify [p]-nilpotent restricted Lie algebras which is the analogue of Skjelbred-Sund method for classifying nilpotent Lie algebras. Then we give a complete classification of [p]-nilpotent restricted Lie algebras of dimension 5 over perfect fields of characteristic more than 3.