SCU Mathematics Colloquium Series Schedule
Winter 2007
Title: Matrix Pairs and Littlewood-Richardson Fillings
Abstract: Several objects of mathematical interest are indexed by partitions, such as Schur polynomials, Jordan forms of nilpotent matrices, and invariant factors of matrices over discrete valuation rings (like power series rings). When, for example, two such matrices are multiplied, we try to predict the invariant factors of the product in terms of the invariants of the two original matrices. In other words, if (a,b,c) is a triple of partitions, how can we tell if there is a triple (A,B,C) of matrices over a power series ring such that the invariants for A are a, B for b, and C for c, where AB = C? For many of the problems mentioned above, the *same* set of triples appears and these connections need to be better understood. In this talk we will present recent results (in joint work with Tamsen McGinley) where we find explicit methods to relate this matrix problem to the combinatorics of Littlewood-Richardson fillings of skew tableaux.
Title: Mathematics, Poverty, AIDS and Joy in Malawi
Abstract: This talk will address several aspects of life in Malawi, a country in southeastern Africa. We will discuss the educational system and how government policies affect both learners and researchers of mathematics. We will address the sources of poverty and why HIV/AIDS is so much more prevalent in sub-Saharan Africa than in other parts of the developing world. We will conclude by talking about how, despite the difficulties in their lives, Malawians are probably having more fun than we are.
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Last Updated: January 9, 2007