Evaluation of determinants and Pfaffians arising from combinatorial enumeration problems

par Masao Ishikawa

jeudi 20 oct. 2022, 11:15 → 12:15 Europe/Paris

112 (ICJ (Braconnier))

Several enumeration problems of plane partitions
reduce to evaluation of determinants or Pfaffians.
We give an example of a certain class of plane portions,
and consider how to transform the enumeration determent
into a Hankel determinant using generating function.
We also study Hankel Pfaffian evaluation
by means of the Selberg integral.