The PIMS Postdoctoral Fellow Seminar: Reinier Kramer

  • Date: 11/24/2021
  • Time: 09:30
Reinier Kramer, UAlberta



Hurwitz Numbers via Topological Recursion


Hurwitz numbers are counts of maps between Riemann surfaces with specified ramification profiles. Alternatively, they may be seen as counting decompositions of the identity in symmetric groups into permutations of given cycle type or as certain expressions of symmetric functions. While these two interpretations, due to Hurwitz, Frobenius, and Schur, have been known for over a hundred years, these numbers occur in more contexts: they give solutions to certain systems of PDEs, such as the Kadomtsev-Petviashvili hierarchy, they encode intersection numbers of moduli spaces of curves, and they can be found via Eynard-Orantin topological recursion.


In this talk, I will first give some of the definitions of Hurwitz numbers and then explain what topological recursion is and how it helps us shed new light on these numbers.

Other Information: 

This seminar takes places across multiple time zones: 9:30 AM Pacific/ 10:30 AM Mountain / 11:30 AM Central


This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series. To learn about other events in this series and to receive connection details, please register for the event mailing list