On the Zilber-Pink conjecture for a product of curves

Abstract: Let $X$ be a curve of genus $g>1$ over the complex numbers. What is the Zariski closure, inside $X^n$, of the set of $n$-tuples of points $(z_i)$ for which there exists a non-constant function $f$ on $X$ with divisor supported on $\{z_i\}$? This question can be viewed as a special case of the Zilber-Pink conjecture, which is a broad generalisation of the Andre-Oort conjecture. In this talk I will describe new results which answer this question for some $(X,n)$. This is joint work with Arnab Saha (IIT Gandhinagar).

number theory

Audience: researchers in the topic

London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html