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Colloquium Mathematics, Prof. S. Shadrin

01 november 2011

Join us for coffee and tea at 15.45 p.m.



Date: Tuesday, November 1st 2011

Speaker: Prof. S. Shadrin (UvA)

Room: 5161.0267 (Bernoulliborg),

Time: 16.15



Title:"Hurwitz numbers: relations with the moduli of curves and with the integrable



Hurwitz numbers emerged originally in the representation theory of the symmetric groups and a simplest example would be an answer to the following question:

How many ways are there to represent a given permutation as the product of a given number of transposition?

There was an enormous interest in Hurwitz numbers in recent years due to two different connections that were discovered about 10 years ago:

One, due to Okounkov, connects Hurwitz theory to a very special hierarchy of PDEs called the Kadomtsev-Petviashvili hierarchy. It has a very beautiful and simple description via a semi-infinite matrix, and I'll explain both the description of the hierarchy and relation to Hurwitz theory in these terms.

A second connection, due to Ekadahl-Lando-Shapiro-Vainshtein, relates Hurwitz numbers to the intersection theory on the moduli spaces of curves. I'll explain that as well.

I hope to be very basic, but still indicate some open direction in this theory.






Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : and

Dr. A.V. Kiselev (e-mail:


Laatst gewijzigd:04 juli 2014 21:28

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