## EVENT DETAILS AND ABSTRACT

**Analysis Seminar**
**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.

**Date:** Monday, January 9, 2012

**Time:** 4:10pm

**Where:** Lunt 105

**Contact Person:** Dean Baskin

**Contact email:** dbaskin@math.northwestern.edu

**Contact Phone:**

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