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X-WR-CALDESC:Événements pour LACIM
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DTSTART:20210101T000000
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DTSTART;TZID=UTC:20210409T110000
DTEND;TZID=UTC:20210409T120000
DTSTAMP:20210509T190932
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UID:17999-1617966000-1617969600@lacim.uqam.ca
SUMMARY:Maria Gillespie (Colorado State University): Tournaments\, Parking Functions\, and Moduli of Curves
DESCRIPTION:Abstract: We give new combinatorial interpretations of the multidegrees of an embedding of M_{0\,n+3}-bar into the product of projective spaces P^1 x P^2 x … x P^n\, where M_{0\,n}-bar refers to the moduli space of stable genus 0 curves with n marked points. Our first interpretation\, due to join work with Cavalieri and Monin\, is in terms of a new class of parking functions. The second\, in joint work with Griffin and Levinson\, is a new\, more geometrically natural interpretation that we call « lazy tournaments » on trivalent trees. We show how these interpretations can be used to prove that the total degree of the embedding is the odd double factorial (2n-1)!!\, as well as identifying canonical choices of limiting hyperplanes that intersect with the embedding in the correct number of distinct boundary points for each multidegree.
URL:https://lacim.uqam.ca/event/maria-gillespie-colorado-state-university/
CATEGORIES:Séminaire du LACIM
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