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Startpage > News > Calendar of Events > Polynomiality


Polynomiality and Wall Crossings in Hurwitz Theory

Kolloquium des Graduiertenkolleg1463, 26.11.12


Abstract: in this talk I will present a story that began with the observation of Goulden-Jackson-Vakil that families (of simple and double) Hurwitz numbers tend to have interesting polynomiality or piecewise-polynomiality aspects. Cavalieri-Johnson-Markwig subsequently exploited the combinatorics suggested by tropical geometry in order to gain a good understanding of this phenomena, and to be able to describe wall crossings. The story is now evolving with an attempt of lifting these observations from the level of "numbers" to the level of "cycles". Again, the parallel with tropical geometry helps shed light on the combinatorial features of certain families of Hurwitz classes. The story is understood so far in genus 0 and becomes substantially more complicated in higher genus. The most recent work discussed is joint work with Aaron Bertram and Hannah Markwig.

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Dr. Renzo Cavalieri (Colorado State Universtity)


Graduiertenkolleg 1463


Montag, 26. November 2012, 16:15 bis 17:15 Uhr


Institut fßr Produktentwicklung und Gerätebau (Gebäude 1105, 141 Herrmann-Windel-Saal)
Welfengarten 1a, 30167 Hannover

Ein Verschieben des Kartenausschnitts ist mit gedrückter Maustaste möglich.

Die Karte wurde uns freundlicherweise von Herrn Dr. Tobias Dahinden, Institut für Kartographie und Geoinformatik zur Verfügung gestellt.