Fall 2016 [Department of Mathematics and Statistics, Binghamton University]

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=====Fall 2016=====

   * **August 30**\\  Organizational Meeting

   * **September 6**\\  <html> <span style="color:blue;font-size:120%">No talk this week </span></html>(see the Geometry/Topology seminar on September 8 [[http://www2.math.binghamton.edu/p/seminars/topsem|here]].)\\ 

   * **September 13**\\  <html> <span style="color:blue;font-size:120%">Eran Crockett</span></html> (Binghamton University)\\      **// Properties of finite algebras  //** \\    \\  <WRAP center box 90%> **//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.
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   * **September 20**\\  <html> <span style="color:blue;font-size:120%">Name</span></html> (University)\\      **//Title of Talk//** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **September 27**\\  <html> <span style="color:blue;font-size:120%">Name</span></html> (University)\\      **//Title of Talk//** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **October 4**\\  <html> <span style="color:blue;font-size:120%">Holiday</span></html> \\      **//Title of Talk//** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **October 11**\\  <html> <span style="color:blue;font-size:120%">Name</span></html> (University)\\      **//Title of Talk//** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **October 18**\\  <html> <span style="color:blue;font-size:120%">Luise C. Kappe</span></html> \\      **//On auto commutators in infinite abelian groups //** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **October 25**\\  <html> <span style="color:blue;font-size:120%">Matt Evans</span></html> (Binghamton University)\\      **// An introduction to BCK-algebras //** \\    \\  <WRAP center box 90%> **//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.
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   * **November 1**\\  <html> <span style="color:blue;font-size:120%">Rachel Skipper</span></html> (Binghamton University)\\      **// On some groups generated by finite automata //** \\    \\  <WRAP center box 90%> **//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.
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   * **November 7**\\  <html> <span style="color:blue;font-size:120%">Matthew Moore  </span></html> (McMaster University)\\      **// Dualizable algebras omitting types 1 and 5 have a cube term //** \\    \\  <WRAP center box 90%> **//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.
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   * **November 8**\\  <html> <span style="color:blue;font-size:120%"> Colin Reid </span></html> (University of Newcastle)\\      **// Totally disconnected, locally compact groups  //** \\    \\  <WRAP center box 90%> **//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. 
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   * **November 15**\\  <html> <span style="color:blue;font-size:120%">Andrew Kelley</span></html> (Binghamton University)\\      **//Maximal subgroup growth: current progress and open questions //** \\    \\  <WRAP center box 90%> **//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.

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   * **November 22**\\  <html> <span style="color:blue;font-size:120%">Name</span></html> (University)\\      **//Title of Talk//** \\    \\  <WRAP center box 90%> **//Abstract//**: Abstract for Talk 
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   * **November 29**\\  <html> <span style="color:blue;font-size:120%">Joseph Cyr</span></html> (Binghamton University)\\      **//  Embedding Modes into Semimodules //** \\    \\  <WRAP center box 90%> **//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.
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   * **December 6**\\  <html> <span style="color:blue;font-size:120%"> No talk this week </span></html>(attend the algebra candidate talk on Friday)  \\      

----
----
  * [[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]]