Topological Recursion

Summer School of the TRR 195 and the Graduiertenkolleg “Experimental and constructive algebra”,
Tübingen, Aug 27-31, 2018

Schematic illustration of the topological recursion


The topological recursion is a recursive fomula which computes a family of differential forms associated to given a spectral curve. It turns out these forms admit nice mathematical properties and compute interesting quantities in various field of mathematics. To mention some relations, the topological recursion computes
  • Correlations functions in Random Matrix Theory,
  • Hurwitz numbers in Enumerative Geometry.
  • Gromov-Witten invariants and intersection numbers
The aim of the summer school is to give a introduction into the topic of topological recursion and highlight some recent developments.

The school is organized as follows. There will be lectures and tutorials held by leading experts. Moreover we will also cover a computational part, with an introductionary class on the use of the computer algebra system GAP for various types of factorization problems in the symmetric group (like different versions of Hurwitz numbers).

Invited Speakers


The summer school will take place in:
  • Campus Morgenstelle, Building C, Room N14 (entrance floor).
The campus is most conveniently reached by bus, the bus stop is called “BG Unfallklinik”. You can use the bus lines:
  • 5, 13, 18 and 19 from the train station,
  • 13, 18 and 19 from bus stop “Parkhaus König” or “Rümelinstraße” (which are close to the old town).





The picture “Schematic illustration of the topological recursion” above is taken from Wikipedia and is licensed by CC BY-SA 4.0 de , by “Eynard”.