SCU Mathematics Colloquium Series Schedule

Winter 2007

**Tuesday, January 16**Glenn Appleby, Santa Clara UniversityTitle: 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.

**Tuesday, January 23**Edward Schaefer, Santa Clara UniversityTitle: 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.

**Tuesday, January 30**Rafe Mazzeo, Stanford UnivesityTitle: TBA

Abstract: TBA

**Tuesday, February 13**Tatiana Shubin, San Jose State UniversityTitle: TBA

Abstract: TBA

**Tuesday, February 27**Mariel Vazquez, San Francisco State UniversityTitle: TBA

Abstract: TBA

Unless noted otherwise, talks will be at 4:00pm Tuesdays. Room O'Connor 204. There will be refreshments before all talks in O'Connor 31 starting around 3:45pm.

If you have a disability and require a reasonable accommodation, please call Glenn Appleby gappleby@scu.edu 1-408-551-7085

*Last Updated: January 9, 2007*