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Online: Self-conjugate 7-core partitions and Hurwitz class numbers

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Speaker: 
Josh Males
Affiliation: 
Universität zu Köln
Date: 
Thu, 2020-09-10 14:30 - 15:30
Parent event: 
Number theory lunch seminar

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...).

 

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