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UID:20250813T114336EDT-9990Tp3iCA@132.216.98.100
DTSTAMP:20250813T154336Z
DESCRIPTION:Title: Delta and Theta Operator expansions in the theory of Mac
 donald polynomials\n\nAbstract: Delta and Theta operators are fundamental 
 in the theory of modified Macdonald polynomials. Theta operators were rece
 ntly used to give and prove the compositional version of the Delta Conject
 ure\; and they also conjecturally give a symmetric function description fo
 r the $S_n$ coinvariants in the polynomial ring with two commuting and two
  anti-commuting sets of variables. We will start by introducing some of th
 ese important conjectures and theorems.\n	\n	We will then give a new combina
 torial model for describing general applications of Delta and Theta operat
 ors when $t=1$ in terms of what we call $gamma$-Parking Functions. We will
  end by highlighting a few of the important methods used in proving this r
 esult\, one of which is an application of the combinatorial formula for th
 e forgotten symmetric functions.\n
DTSTART:20220603T150000Z
DTEND:20220603T160000Z
LOCATION:Room PK-4323\, CA\, QC\, Montreal\, H2X 3Y7\, 201 Ave. du Presiden
 t-Kennedy
SUMMARY:Marino Romero (University of Pensylvania)
URL:/mathstat/channels/event/marino-romero-university-
 pensylvania-339746
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