複素解析幾何セミナー

過去の記録 ~04/22次回の予定今後の予定 04/23~

開催情報 月曜日 10:30~12:00 数理科学研究科棟(駒場) 128号室
担当者 平地 健吾, 高山 茂晴, 細野 元気

次回の予定

2018年04月23日(月)

10:30-12:00   数理科学研究科棟(駒場) 128号室
奥山裕介 氏 (京都工芸繊維大学)
Degeneration and bifurcation of quadratic endomorphisms of P^2
towards a H¥'enon map (JAPANESE)
[ 講演概要 ]
The space of quadratic holomorphic endomorphisms of P^2 (over C) is
canonically identified with the complement of the zero locus of the
resultant form on P^{17}, and all H¥'enon maps, which are (the only)
interesting ones among all the quadratic polynomial automorphisms of C^2,
live in this zero locus.

We will talk about our joint work with Fabrizio Bianchi (Imperial College,
London) on the (algebraic) degeneration of quadratic endomorphisms of C^2
towards H¥'enon maps in terms of Berteloot-Bianchi-Dupont's
bifurcation/unstability theory of holomorphic families of endomorphisms of P^k,
which mostly generalizes Ma¥~n¥'e-Sad-Sullivan, Lyubich, and DeMarco's seminal
and similar theory on P^1.

Some preliminary knowledge on ergodic theory and pluripotential theory
would be desirable, but not be assumed.