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SUMMARY: Compactified Jacobians and DAHA representations
DTSTART:20120920T151500
DTEND:20120920T170000
DTSTAMP:20260407T025744Z
UID:84745a8a4037fc80dae1c085b1e6b40da302c69eb9dc2802757983ca
CATEGORIES:Conferences - Seminars
DESCRIPTION:Eugene Gorsky\, SUNY Stony Brook\nI will describe two conjectu
 rally equivalent descriptions of the homology\nof the compactified Jacobia
 n of a rational curve with a unique singularity\nof type x^m=y^n. First\, 
 one can present an explicit cell decomposition\nand match the dimensions o
 f the cells to certain combinatorial statistics\nof M. Haiman\, J. Haglund
  and N. Loehr. In the second approach the homology\nis compared to the uni
 que finite-dimensional representation of the\nrational Cherednik algebra w
 ith parameter m/n. For m=n+1\, both approaches\nproduce a certain bivariat
 e deformation of Catalan numbers introduced by\nA. Garsia and M. Haiman.
LOCATION:MA A3 30 http://plan.epfl.ch/?lang=fr&room=ma+a3+30
STATUS:CONFIRMED
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