Geometric recursion learning seminar

Content

Geometric Recursion (GR) is a fairly new technique that extends the usual Topological Recursion (TR) theory by means of Teichmüller theory, and relates to several results of Maryam Mirzakhani. It sits in the interplay between many areas of mathematics as mathematical physics, algebraic geometry and category theory.

The first part of the learning seminar aims to define and introduce GR. The second part of the seminar is more open and it will be tailored during the first weeks according to the taste of the participants towards open research questions.

Seminar web page [5]

References

• J.E. Andersen, G. Borot, N. Orantin: Geometric recursion https://arxiv.org/abs/1711.04729 [6]
• B. Eynard: A short overview of the "Topological recursion" https://arxiv.org/abs/1412.3286 [7]
• G. Borot: Lecture notes on topological recursion and geometry https://arxiv.org/abs/1705.09986 [8]
• M. Mirzakhani: Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces https://link.springer.com/content/pdf/10.1007/s00222-006-0013-2.pdf [9]