seminars:alge:alge-fall2016
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| + | =====Fall 2016===== | ||
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| + | * **August 30**\\ | ||
| + | |||
| + | * **September 6**\\ < | ||
| + | |||
| + | * **September 13**\\ | ||
| + | they generate. In particular, we look for counterexamples to the | ||
| + | conjecture that every dualizable algebra is finitely based. | ||
| + | </ | ||
| + | |||
| + | * **September 20**\\ | ||
| + | </ | ||
| + | |||
| + | |||
| + | * **September 27**\\ | ||
| + | </ | ||
| + | |||
| + | * **October 4**\\ < | ||
| + | </ | ||
| + | |||
| + | |||
| + | * **October 11**\\ | ||
| + | </ | ||
| + | |||
| + | * **October 18**\\ | ||
| + | </ | ||
| + | |||
| + | * **October 25**\\ | ||
| + | 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**\\ < | ||
| + | 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**\\ < | ||
| + | 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**\\ < | ||
| + | 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 ' | ||
| + | groups' | ||
| + | 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. | ||
| + | survey of some ways in which these groups arise and a few recent results in | ||
| + | the area. | ||
| + | </ | ||
| + | |||
| + | * **November 15**\\ | ||
| + | f.g. groups. The focus is on metabelian groups, virtually abelian groups, | ||
| + | and on the Baumslag-Solitar groups. | ||
| + | |||
| + | </ | ||
| + | |||
| + | |||
| + | * **November 22**\\ | ||
| + | </ | ||
| + | |||
| + | |||
| + | * **November 29**\\ | ||
| + | homomorphisms. The main focus of this talk will be to give a generalization | ||
| + | of Jezek and Kepka' | ||
| + | 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 | ||
| + | " | ||
| + | sum of n unary operations. | ||
| + | </ | ||
| + | |||
| + | * **December 6**\\ < | ||
| + | |||
| + | ---- | ||
| + | ---- | ||
| + | * [[http:// | ||
| + | * [[seminars: | ||
| + | * [[seminars: | ||
| + | * [[seminars: | ||
| + | * [[seminars: | ||
