Date: Tuesday, March 12, 2013
Location: 3866 East Hall (2:10 PM to 3:00 PM)
Title: What Is ... Ingleton's Inequality?
Abstract: Consider a finitedimensional vector space and a finite sequence of linear subspaces. Consider also the subspaces obtainable as sums of subsequences of the given sequence. What can one say about the dimensions of such sums? Perhaps surprisingly, there are nontrivial things to be said; Ingleton's inequality is the simplest of these. Perhaps more surprisingly, although some further inequalities beyond Ingleton's are known, there might be more that are still unknown. I'll describe this situation and, if time permits, a couple of related situations outside linear algebra.
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Speaker: Andreas Blass
Institution: University of Michigan
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