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

Name: The Kodaira dimension of the moduli space of curves: recent progress on a century-old problem
Start: 2021-02-09T15:00:00-05:00
End: 2021-02-09T16:00:00-05:00
Location: Virtually

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: February 9, 2021

3:00 pm - 4:00 pm

Where: Virtually

Speaker: Gavril Farkas - Humboldt University, Berlin

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. On the one hand, 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). On the other hand I will discuss a proof (joint with A. Verra) of the uniruledness of the moduli space of curves of genus 16.

Zoom: https://harvard.zoom.us/j/91794282895?pwd=VFZxRWdDQ0VNT0hsVTllR0JCQytoZz09