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Thursday, April
20, 2006
5:30pm,
164 Hawthorn (Altoona)
Julie Bergner
Kansas State University
Transversality and the inverse image of a submanifold with corners
Abstract: Certain kinds of algebraic structures on spaces can be described via algebraic theories, or particular diagrams given by free objects. This approach is useful in that it enables us to compare strict algebraic structures with those only given up to homotopy. In certain cases, we can replace algebraic theories with "simpler" diagrams encoding the same algebraic information. The question then becomes whether we still have the same relationship between strict and homotopy structures. I'll begin by describing the algebraic theory approach and then discuss examples of these other kinds of diagrams.
