皆様

２０１０年２月１８日（木）、大阪市立大学において
スウェーデン・Lund大学のSigmundur Gudmundsson教授による
調和写像や調和射の理論の入門と最近のご研究に関する特別講義（２回）
が、下記の要領で行われます。
奮ってご参加ください。とくに、大学院生の方歓迎です！

大仁田


———————————————————————————————————
………○●◎◇◆  大阪市立大学数学研究所微分幾何学セミナーの御案内 ◆◇◎●○………
———————————————————————————————————

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 日本語版 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

講演者：Professor Sigmundur Gudmundsson（Lund University, SWEDEN）
タイトル：Harmonic morphisms, complex analysis and how to generalize it. 
(1st lecture)
日時：２０１０年２月１８日（木）１０：４０〜１２：１０
場所：数学講究室（３０４０）
アブストラクト：
     It is a well-known result in classical complex analysis that every 
holomorphic or anti-holomorphic function is harmonic and conformal.
It is easy to see that they also pull back harmonic real-valued 
functions to harmonic functions.  This last property actually 
characterizes
the holomorphic and anti-holomorphic functions in the complex plane.
   Harmonic morphisms are maps (M,g) -> (N,h) between Riemannian 
manifolds which pull back harmonic functions to harmonic functions.
They have many properties similar to those of holomorphic functions 
which they generalize.
   We will give a general introduction to the theory of harmonic 
morphisms

講演者：Professor Sigmundur Gudmundsson（Lund University, SWEDEN）
タイトル：Harmonic morphisms from Lie groups and symmetric spaces (2nd 
lecture)
日時：２０１０年２月１８日（木）１６：２０〜１７：５０
場所：数学講究室（３０４０）
アブストラクト：
    We will discuss the existence problem for harmonic morphisms between 
Riemannian manifolds.  In particular we shall focus our attention on
recent results on complex-valued harmonic morphisms from Lie groups and 
symmetric space.

%%%%%%%%%%%%%%%%%%%%%%%%% English version %%%%%%%%%%%%%%%%%%%%%%%%%%%%

Speaker : Professor Sigmundur Gudmundsson（Lund University, SWEDEN）
Title : Harmonic morphisms, complex analysis and how to generalize it. 
(1st lecture)
Date　: Feb. 18 (Thu.) 2010, 10:40〜12:10
Place : Dept. of Mathematics, Sci.Bldg., 3040
Abstract:
      It is a well-known result in classical complex analysis that every 
holomorphic or anti-holomorphic function is harmonic and conformal.
It is easy to see that they also pull back harmonic real-valued 
functions to harmonic functions.  This last property actually 
characterizes
the holomorphic and anti-holomorphic functions in the complex plane.
   Harmonic morphisms are maps (M,g) -> (N,h) between Riemannian 
manifolds which pull back harmonic functions to harmonic functions.
They have many properties similar to those of holomorphic functions 
which they generalize.
   We will give a general introduction to the theory of harmonic 
morphisms

Speaker : Professor Sigmundur Gudmundsson（Lund University, SWEDEN）
Title : Harmonic morphisms from Lie groups and symmetric spaces (2nd 
lecture)
Date　: Feb. 18 (Thu.) 2010, 16:20〜17:50
Place : Dept. of Mathematics, Sci.Bldg., 3040
Abstract:
      We will discuss the existence problem for harmonic morphisms 
between Riemannian manifolds.  In particular we shall focus our 
attention on
recent results on complex-valued harmonic morphisms from Lie groups and 
symmetric space.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%