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No seminar this week.
Title: Structure(s), structure in classes of structures, arbitrary truth and three related, widely discussed mathematical statements of our era: Cantor's Theorem, the Axiom of Choice and the Continuum Hypothesis Speaker: Yiannis Vourtsanis Time: 2:00pm–3:00pm Place: CMC 108 or on Zoom
Aspects of structure(s), structure (in particular, operational) in classes of structures and arbitrary truth (Mathematical Logic) will be discussed, both with respect to a brief historical introduction, as well as, with respect to earlier work of mine.
Subsequently, certain relations or applications to CT (Cantor's Theorem), AC (Axiom of Choice) and CH (Continuum Hypothesis) will also be presented.
Title: Abstract Geometric Crystallography, Part II Speaker: Greg McColm Time: 2:00pm–3:00pm Place: CMC 108 or on Zoom
Title: Abstract Geometric Crystallography Speaker: Greg McColm Time: 2:00pm–3:00pm Place: CMC 108 or on Zoom
Abstract
Geometric crystallography is concerned with ``periodic'' and ``subperiodic'' structures in Euclidean space, where a periodic structure is an infinite structure in Euclidean space whose symmetry group has a subgroup (of finite index) of translations spanning that space; subperiodic structures are defined similarly. (In materials science, these structures represent crystals; in this talk, we focus on graphs.) We generalize this approach and consider graphs embedded in more general spaces. We are interested in cataloguing all possible periodic graphs, and we propose a method based on a parametrization of periodic graphs by tuples of vectors.