## Algebra

•  Ignacio Barros, Université Paris-Saclay
•  Pencils on surfaces with normal crossings and the Kodaira dimension of $M_{g,n}$
•  02/24/2021
•  4:00 PM - 5:00 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Laure Flapan (flapanla@msu.edu)

The first half of the talk will be a colloquium style talk, where I will recall the history of the problem of determining the Kodaira dimension of the moduli space of curves. In the second half I will report on joint work with D. Agostini, where we study smoothing of pencils of curves on surfaces with normal crossings. As a consequence we obtain new instances of $(g,n)$ where $M_{g,n}$ is of negative Kodaira dimension and provide bounds for the Kodaira dimension of $M_{16}$ and $M_{12,8}$. Passcode: MSUALG

## Contact

Department of Mathematics
Michigan State University