BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Christoph Koutschan\, "Binomial Determinants for Tiling Problems Y
 ield to the Holonomic Ansatz"
DTSTART:20210702T083000Z
DTEND:20210702T093000Z
DTSTAMP:20260515T134600Z
UID:indico-event-6754@indico.math.cnrs.fr
DESCRIPTION:We present and prove closed form expressions for some families
  of binomial determinants with signed Kronecker deltas that are located al
 ong an arbitrary diagonal in the corresponding matrix. They count cyclical
 ly symmetric rhombus tilings of hexagonal regions with triangular holes. W
 e extend a previous systematic study of these families\, where the locatio
 ns of the Kronecker deltas depended on an additional parameter\, to famili
 es with negative Kronecker deltas. By adapting Zeilberger's holonomic ansa
 tz to make it work for our problems\, we can take full advantage of comput
 er algebra tools for symbolic summation. This\, together with the combinat
 orial interpretation\, allows us to realize some new determinantal relatio
 nships. From there\, we are able to resolve all remaining open conjectures
  related to these determinants\, including one from 2005 due to Lascoux an
 d Krattenthaler.\n\nThis is joint work with Hao Du\, Thotsaporn Thanatipan
 onda\, Elaine Wong.\n\nhttps://indico.math.cnrs.fr/event/6754/
URL:https://indico.math.cnrs.fr/event/6754/
END:VEVENT
END:VCALENDAR