I will describe some of the results of a recent paper joint with Kathrin
Bringmann and Ben Kane. We first use modular arguments to extend a result
of Ono-Raji in describing the number of self-conjugate 7-core partitions as
certain Hurwitz class numbers. Secondly, we provide a combinatorial
explanation for such a result, relying on the structure of abaci and
extended t-residue diagrams - the central connection relies on Gauss'
theorems on the relationship between quadratic forms and the genus in the
class group.
Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/246