BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250919T015347EDT-1065N18xow@132.216.98.100 DTSTAMP:20250919T055347Z DESCRIPTION:The algebra and geometry of ordered set partitions\n\nFor any p ositive integer $n$\, there is a graded $S_n$-module (the coinvariant alge bra $R_n$) and an algebraic variety (the flag variety $mathcal{F ell}(n)$) whose representation theoretic and geometric properties are governed by p ermutations in the symmetric group $S_n$. Given two positive integers $k l eq n$\, we study a new graded $S_n$-module $R_{n\,k}$ and a new variety $X _{n\,k}$ whose properties are similarly governed by ordered partitions of the set ${1\, 2\, dots\, n}$ into $k$ blocks. Time permitting\, we will di scuss extensions of these constructions to other reflection groups as well as the Hecke algebra H_n(q) at generic parameter q and in the specializat ion q = 0. Joint with Jim Haglund\, Jia Huang\, Brendan Pawlowski\, Travis Scrimshaw\, and Mark Shimozono.\n DTSTART:20180329T150000Z DTEND:20180329T160000Z LOCATION:Room PK-4323\, CA\, 201 Ave. President-Kennedy SUMMARY:Brendon Rhoades\, UCSD URL:/mathstat/channels/event/brendon-rhoades-ucsd-2862 53 END:VEVENT END:VCALENDAR