Session S35 - Moduli Spaces in Algebraic Geometry and Applications

Wednesday, July 14, 15:20 ~ 16:00 UTC-3

The Kodaira dimension of the moduli space of curves: recent progress on a century old problem.

Gavril Farkas

Humboldt Universität Berlin, Germany   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The problem of determining the birational nature of the moduli space of curves of genus g has received constant attention in the last century and inspired a lot of development in moduli theory. I will discuss progress achieved in the last 12 months. In particular, making essential of tropical methods it has been showed that both moduli spaces of curves of genus 22 and 23 are of general type (joint with D. Jensen and S. Payne).

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