BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:William Keith (Michigan Technical University)
DTSTART:20250520T193000Z
DTEND:20250520T195500Z
DTSTAMP:20260423T010356Z
UID:CANT2025/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/23/
 ">$s \\pmod{t}$-cores</a>\nby William Keith (Michigan Technical University
 ) as part of Combinatorial and additive number theory (CANT 2025)\n\nLectu
 re held in CUNY Graduate Center - Science Center (4th floor).\n\nAbstract\
 nWe consider simultaneous $(s\,s+t\,s+2t\,\\dots\,s+pt)$-cores in the larg
 e-$p$ limit\, or (when $s<t$)\, partitions in which no hook may be of leng
 th $s \\pmod{t}$.  As a boundary case of the general study made by Cho\, H
 uh and Sohn\, we find special symmetries and relations\, such as generatin
 g functions\, congruences when $s$ is not coprime to $t$\, and enumeration
 s when $s$ is coprime to $t$.  Of particular interest is the comparison to
  the behavior of simultaneous $(s\,t)$-cores and self-conjugate $(s\,t)$-c
 ores.  \nJoint work with Rishi Nath  and James Sellers.\n
LOCATION:https://researchseminars.org/talk/CANT2025/23/
END:VEVENT
END:VCALENDAR