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Graduate Seminar

Brian Kell
Carnegie Mellon University
Title: Second Annual Markov Lecture

Abstract: Erdos once asked the following question: If T is a uniregular, antitransitive trigraph on (2k+1)! vertices whose Hagenfried group is trivial, does there exist a sesquinormal hyperpartition P of the edge couplets of T such that P is minimally orthomaximal with respect to the set of bounded cliques of T and for every nonuniversal superset S of P and every finite lateral region R of S the number of elements of P embedded in the k-dimensional subsphere induced by R is no greater than the index of R as a disjunctive subspace in S? Despite the simplicity of the question, it is surprisingly difficult to answer. In 1977, McPaulsen and Svendt showed that in the special case in which T is (4,1)-diamond-free, Erdos' question reduces to a question about the quantifiability of the nondenumerable eigenquotients of certain contramorphic polytopes. In this talk I may or may not explore some of the fundamental ideas in this proof.

This talk is joint work with the CMU Graduate Student Collaborative Committee.

Date: Wednesday, April 30, 2014
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Brian Kell