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GAIA Seminar on Complex Analytic Geometry - Dr. Taeyong Ahn

posted Nov 4, 2015, 11:34 PM by Hyemin Shin   [ updated Nov 17, 2015, 10:24 PM ]

- Title: Equidistribution for holomorphic endomorphisms of P^k

- Speaker: Dr. Taeyong Ahn (KIAS)

- Abstract: In this talk, complex dynamics will be introduced with an equidistribution problem. In particular, we will discuss higher codimensional cases. Let $f:\mathbb{P}^k\to\mathbb{P}^k$ be a holomorphic endomorphism of algebraic degree $d>1$ and $H$ be an analytic subset of $\mathbb{P}^k$ of codimension $p>1$. It is expected that for a generic choice of $H$, the sequence $\{d^{-np}(f^n)^*[H]\}$ of currents of integration converges to the Green $(k-p, k-p)$-current. We will discuss this convergence.

- Place: GAIA Seminar Room (#106, Math Science bldg.)
- Date: 8 p.m. - 10 p.m on Wednesday, 11 November 2015

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