EVENT DETAILS AND ABSTRACT

Title: Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
Speaker: Jingzhou Sun
Speaker Info: Johns Hopkins
Brief Description:
Special Note:
Abstract:

We prove a formula for the expected Euler characteristic of excursion sets of random sections of powers of an ample bundle (L,h), where h is a Hermitian metric, over a Kähler manifold (M,omega). We then prove that the critical radius of the Kodaira embedding Phi_N:M -> CP^n given by an orthonormal basis of H^0(M,L^N) is bounded below when $N\rightarrow \infty$. This result also gives conditions about when the preceding formula is valid.