[geometry-ml:06923] 名古屋大学幾何学セミナー

[kasuya ＠ math.nagoya-u.ac.jp]

皆様、

名古屋大学の糟谷久矢です。
名古屋大学の幾何学セミナーの予定
https://www.math.nagoya-u.ac.jp/ja/research/calendar/data/1782711167-98.html
を以下にお知らせします。
皆様の参加をこころよりお待ちしております。
糟谷


幾何学セミナー
時間：　7月7日　　16:30-18:00
場所：　理学部A館　328セミナー室
講演者：神田 秀峰（東京大学)
タイトル
Holomorphic polynomial crystallographic actions of nilpotent groups
アブストラクト
It is a natural and still open question whether every simply connected 
nilpotent Lie group endowed with a left-invariant complex structure is 
biholomorphic to \mathbb{C}^n. In this talk, we give an affirmative 
answer under the additional assumption that the complex structure is 
nilpotent. Moreover, we construct such a biholomorphism explicitly by 
polynomial maps in exponential coordinates. As a consequence, every 
lattice in such a Lie group admits a free, properly discontinuous and 
cocompact action on \mathbb{C}^n by holomorphic polynomial 
automorphisms. We interpret this as a holomorphic analogue of polynomial 
crystallographic actions, namely actions on \mathbb{R}^n by polynomial 
diffeomorphisms that are free, properly discontinuous and cocompact, as 
introduced by Dekimpe, Igodt, and Lee.