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SUMMARY:Allen Knutson (Cornell)
DTSTART:20230120T214500Z
DTEND:20230120T224500Z
DTSTAMP:20260407T214922Z
UID:agstanford/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 11/">Generic pipe dreams and the commuting scheme</a>\nby Allen Knutson (C
 ornell) as part of Stanford algebraic geometry seminar\n\nLecture held in 
 Room 383-N.\n\nAbstract\nConsider the equations XY=YX on a pair of matrice
 s. Do these generate a prime ideal\, or\, are there secret equations that 
 pairs of commuting matrices satisfy? Mel Hochster asked this in '84 and no
 one has answered it (past small matrix size). I'll degenerate this scheme 
 into pieces indexed by "generic pipe dreams"\, thereby giving a formula fo
 r its degree as a sum of powers of 2\, and use an associated formula to de
 rive both the ordinary and bumpless pipe dream formulae for Schubert polyn
 omials. This work is joint with Paul Zinn-Justin.\n\nThis is the second al
 gebraic geometry seminar of the day.  We will zip out to buy lunch in betw
 een\, and enjoy lunchtime theater with this talk.\n
LOCATION:https://researchseminars.org/talk/agstanford/111/
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