The Inverse Jacobian problem

Anna Somoza Henares
IRMAR, Université de Rennes 1
https://anna-somoza.github.io/

Date(s) : 08/10/2020   iCal
11 h 00 min

To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the genus, as a measure of its complexity. One can also associate to C, via complex analysis, a g×g symmetric matrix Ω called period matrix. Because of the natural relation between C and Ω, one can obtain information of one by studying the other. Therefore, it makes sense to consider the inverse problem: Given a period matrix Ω, can we compute a model for the associated curve C?
In this talk, we will revise how to construct the period matrix of a curve, we will see some known results around this problem, and discuss some applications of its solution.
 
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