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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: Slope for families of curves

Presented by Tong Zhang, Durham University

16 February 2016 14:00 in CM 107

In this talk, I will introduce a notion of the slope for families of curves and review some meaningful bounds of the slope, including the Riemann-Roch theorem for curves and Cornalba-Harris-Xiao inequality for one dimensional families of curves. Then I will state a lower bound of the slope for two dimensional families of curves. If time permits, the Arakelov version of the slope will also be discussed.

Contact pankaj.vishe@durham.ac.uk or athanasios.bouganis@durham.ac.uk for more information