# The Large genus asymptotic expansion of Masur-Veech volumes

## TL;DR

This paper establishes a complete asymptotic expansion for Masur-Veech volumes as genus increases, combining combinatorial and algebro-geometric methods to solve a longstanding problem.

## Contribution

It provides a unified proof of the asymptotic expansion of Masur-Veech volumes, integrating combinatorial and algebro-geometric approaches.

## Key findings

- Confirmed the existence of a full asymptotic expansion depending on genus and singularities.
- Computed the first term of the asymptotic expansion.
- Unified previous combinatorial and algebro-geometric methods.

## Abstract

We study the asymptotic behavior of Masur-Veech volumes as the genus goes to infinity. We show the existence of a complete asymptotic expansion of these volumes that depends only on the genus and the number of singularities. The computation of the first term of this asymptotics expansion was a long standing problem. This problem was recently solved in by Aggarwal using purely combinatorial arguments, and then by D. Chen, M. Moeller, D. Zagier and the author using algebro-geometric insights. Our proof relies on a combination of both methods.