学术报告（吕鑫 2025.12.31）

摘要：In this talk, I will report our progress on the Coleman-Oort conjecture for superelliptic curves; namely, we prove that there are, up to isomorphism, at most finitely many superelliptic curves whose Jacobians are CM abelian varieties, as long as these curves are of genus at least 8. Here superelliptic curves are smooth projective curves admitting affine equations of the form y^n=f(x) with f(x) a separable polynomial. This is a joint work with Professor K. Chen and K. Zuo.