代数幾何学セミナー

過去の記録 ~12/11次回の予定今後の予定 12/12~

開催情報 月曜日 15:30~17:00 数理科学研究科棟(駒場) 122号室
担当者 權業 善範・中村 勇哉・高木 俊輔

2017年07月11日(火)

15:30-17:00   数理科学研究科棟(駒場) 122号室
松澤 陽介 氏 (東大数理)
Arithmetic and dynamical degrees of self-maps of algebraic varieties (English or Japanese)
[ 講演概要 ]
The first dynamical degree is an important birational invariant which measures the geometric complexity of dominant rational self-maps of algebraic varieties. On the other hand, when the variety is defined over a number field, one can associate to an orbit an invariant using Weil height function, called arithmetic degree, which measures the arithmetic complexity of the orbit. It is conjectured that the arithmetic degree of a Zariski dense orbit is equal to the first dynamical degree (Kawaguchi-Silverman). I will explain several results related to this conjecture. I will also explain applications to proofs of purely geometric statements.