A weekly seminar on topics in discrete geometry with a combinatorial
We meet on Wednesdays 2:00-3:00pm in South Hall, 4607B.
more information, contact the organizers: Gordon
Dougherty, and Jon McCammond.
Distribution of Descents in Matchings
Gene Kim | January 17
The distribution of descents in certain conjugacy classes of $S_n$ have been previously studied, and it is shown that its moments have interesting properties. This paper provides a bijective proof of the symmetry of the descents and major indices of matchings (also known as fixed point free involutions) and uses a generating function approach to prove an asymptotic normality theorem for the number of descents in matchings.