Logic Seminar Abstracts |
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Title: Growth rates of finite algebras Speaker: Keith Kearnes Affiliation: CU Time: 3pm, Monday, March 19 (continued April 2) Location: Math 220 Abstract: I will talk about the problem of determining which finite algebras A have the property that An has a set of O(log(n)) generators. Title: When must all Boolean algebras have many subalgebras? Speaker: Kevin Selker Affiliation: CU Time: 3pm, Monday, April 16 Location: Math 220 Abstract: We will consider the question of whether an infinite Boolean algebra has the maximum number of subalgebras. The general question turns out to be independent of the usual axioms of set theory. A special combinatorial assumption yields an example of a Boolean algebra with a small number of subalgebras. Large-cardinal hypotheses yield a situation where every Boolean algebra has many subalgebras. We will also consider the implications of the latter model for general algebras with countably many functions. Advance experience with Boolean algebras will not be assumed. Knowledge of forcing and advanced set-theory will not be assumed, and the talk will avoid as much as possible technical details. Title: Maltsev conditions and directed graphs Speaker: Miklos Maroti Affiliation: University of Szeged and Vanderbilt University Time: 3pm, Monday, April 26 Location: Math 220 Abstract: |
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