BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dennis Eichhorn (University of California Irvine) DTSTART:20250522T183000Z DTEND:20250522T185500Z DTSTAMP:20260423T041653Z UID:CANT2025/46 DESCRIPTION:Title: Open problems involving cranks for partition congruences\nby Dennis Eichhorn (University of California Irvine) as part of Combinatorial and ad ditive number theory (CANT 2025)\n\nLecture held in CUNY Graduate Center - Science Center (4th floor).\n\nAbstract\nDyson famously conjectured\, cor rectly\, that his rank statistic witnesses Ramanujan's first two congruenc es for $p(n)$\, and that there exists a ``crank" statistic that witnesses Ramanujan's congruence modulo $11$ in a similar fashion.\nAs it turns out\ , this phenomenon of congruence-witnessing statistics\, which we now also call ``cranks" in homage to Dyson\, also occurs in other contexts within p artition theory.\nIn this talk\, we give several open problems and conject ures in this area\, highlighting some recent developments along the way.\\ \\\nThis talk will include joint work with several coauthors.\n LOCATION:https://researchseminars.org/talk/CANT2025/46/ END:VEVENT END:VCALENDAR