=====Fall 2016=====
* **August 30**\\ Organizational Meeting
* **September 6**\\ No talk this week (see the Geometry/Topology seminar on September 8 [[http://www2.math.binghamton.edu/p/seminars/topsem|here]].)\\
* **September 13**\\ Eran Crockett (Binghamton University)\\ **// Properties of finite algebras //** \\ \\ **//Abstract//**: We study various properties of finite algebras and the varieties
they generate. In particular, we look for counterexamples to the
conjecture that every dualizable algebra is finitely based.
* **September 20**\\ Name (University)\\ **//Title of Talk//** \\ \\ **//Abstract//**: Abstract for Talk
* **September 27**\\ Name (University)\\ **//Title of Talk//** \\ \\ **//Abstract//**: Abstract for Talk
* **October 4**\\ Holiday \\ **//Title of Talk//** \\ \\ **//Abstract//**: Abstract for Talk
* **October 11**\\ Name (University)\\ **//Title of Talk//** \\ \\ **//Abstract//**: Abstract for Talk
* **October 18**\\ Luise C. Kappe \\ **//On auto commutators in infinite abelian groups //** \\ \\ **//Abstract//**: Abstract for Talk
* **October 25**\\ Matt Evans (Binghamton University)\\ **// An introduction to BCK-algebras //** \\ \\ **//Abstract//**: In this talk I will introduce BCK-algebras and discuss some of their
universal algebraic
properties. In the bounded commutative case, I will develop the beginnings of a
Priestley duality
for BCK-algebras and discuss some complications.
* **November 1**\\ Rachel Skipper (Binghamton University)\\ **// On some groups generated by finite automata //** \\ \\ **//Abstract//**: Every invertible automaton with finitely many states produces a
group of automorphisms of a regular rooted tree. In this talk, we outline
how to obtain a group from an automaton and then discuss a particular
family of examples.
* **November 7**\\ Matthew Moore (McMaster University)\\ **// Dualizable algebras omitting types 1 and 5 have a cube term //** \\ \\ **//Abstract//**: An early result in the theory of Natural Dualities is that an
algebra with a near unanimity (NU) term is dualizable. A converse to
this is also true: if V(A) is congruence distributive and A is
dualizable, then A has an NU term. An important generalization of the NU
term for congruence distributive varieties is the cube term for
congruence modular (CM) varieties, and it has been thought that a
similar characterization of dualizability for algebras in a CM variety
would also hold. We prove that if A omits tame congruence types 1 and 5
(all locally finite CM varieties omit these types) and is dualizable,
then A has a cube term.
* **November 8**\\ Colin Reid (University of Newcastle)\\ **// Totally disconnected, locally compact groups //** \\ \\ **//Abstract//**: Totally disconnected, locally compact (t.d.l.c.) groups are a
large class of topological groups that arise from a few different sources,
for instance as automorphism groups of combinatorial structures, or from
the study of isomorphisms between finite index subgroups of a given group.
Two analogies are that they are like 'discrete groups combined with compact
groups' or 'non-Archimedean Lie groups'. A general theory has begun to
emerge in recent years, in which we find that the interaction between
small-scale and large-scale structure in t.d.l.c. groups is somewhere
between the two extremes that these analogies would suggest. I will give a
survey of some ways in which these groups arise and a few recent results in
the area.
* **November 15**\\ Andrew Kelley (Binghamton University)\\ **//Maximal subgroup growth: current progress and open questions //** \\ \\ **//Abstract//**: This is an update on my research on the maximal subgroup growth of certain
f.g. groups. The focus is on metabelian groups, virtually abelian groups,
and on the Baumslag-Solitar groups.
* **November 22**\\ Name (University)\\ **//Title of Talk//** \\ \\ **//Abstract//**: Abstract for Talk
* **November 29**\\ Joseph Cyr (Binghamton University)\\ **// Embedding Modes into Semimodules //** \\ \\ **//Abstract//**: A mode is an algebra which is idempotent and whose basic operations are
homomorphisms. The main focus of this talk will be to give a generalization
of Jezek and Kepka's embedding theorem for groupoid modes. We will show
that a mode is embeddable into a subreduct of a semimodule over a
commutative semiring if and only if it satisfies the so called Szendrei
identities. Thus the operations on Szendrei modes can be represented in a
particularly nice way. This will involve thinking of operations
"additively", that is, taking an n-ary operation and considering it as a
sum of n unary operations.
* **December 6**\\ No talk this week (attend the algebra candidate talk on Friday) \\
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* [[http://www.math.binghamton.edu/dept/AlgebraSem/index.html|Pre-2014 semesters]]\\
* [[seminars:alge:fall2014]]
* [[seminars:alge:spring2015]]
* [[seminars:alge:alge_fall2015]]
* [[seminars:alge:alge-spring2016]]