Speaker:
Gene Kim
Speaker Link:
Institution:
USC
Time:
Tuesday, February 20, 2018 - 11:00am to 12:00pm
Host:
Location:
RH 306
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.