Mathematics Colloquia and Seminars
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Quonting QuoresAlgebra & Discrete Mathematics
|Speaker: ||Tom Denton, York University, Toronto|
|Location: ||1147 MSB|
|Start time: ||Fri, Oct 11 2013, 11:00AM|
Let s\leq t be relatively prime. There is a beautiful bijection
between 'Dyck paths' in the s-by-t rectangle and partitions with no
hook lengths equal to s or t (simultaneous cores). Thanks to the
bijection, there is a nice enumeration of these cores. Recently,
Armstrong, Hanusa and Jones have made some progress on q-enumerating
these cores; there is a conjectured q-statistic which was proven in
the case where s=1 or 2. We present this background, future
directions, and some really nice combinatorics.
Note: special day!