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SUMMARY:Dusty Ross (San Francisco State)
DTSTART:20230127T200000Z
DTEND:20230127T210000Z
DTSTAMP:20260407T214913Z
UID:agstanford/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 06/">Putting the “volume” back in “volume polynomials”</a>\nby Dus
 ty Ross (San Francisco State) as part of Stanford algebraic geometry semin
 ar\n\nLecture held in Room 383-N.\n\nAbstract\nRecent developments in trop
 ical geometry and matroid theory have led to the study of “volume polyno
 mials” associated to tropical varieties\, the coefficients of which reco
 rd all possible degrees of top powers of tropical divisors. In this talk\,
  I’ll discuss a volume-theoretic interpretation of volume polynomials of
  tropical fans\; namely\, they measure volumes of polyhedral complexes obt
 ained by truncating the tropical fan with normal hyperplanes. I’ll also 
 discuss how this volume-theoretic interpretation inspires a general framew
 ork for studying an analogue of the Alexandrov-Fenchel inequalities for de
 grees of divisors on tropical fans. Parts of this work are joint with Anas
 tasia Nathanson\, Lauren Nowak\, and Patrick O’Melveny.\n
LOCATION:https://researchseminars.org/talk/agstanford/106/
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