Notes of some talks by Ching-Li Chai

• Numbers: Fun and Challenge Slides for Leung Yeung Lam Memorial Lecture, Chinese University of Hong Kong, August 10, 2007. Notes for the talk.
  
  
• Hecke orbits as Shimura varieties in positive characteristic, .pdf file. Slides for talk at ICM2006, Madrid, August 25, 2006.
  
  
• Hecke Oribts and Canonical Coordinates, .pdf file. Colloquium talk at Academia Sinica, Taipei, December 2004.
  
  
• Hecke Orbits, .pdf format. This is a survey talk on the Hecke orbit conjecture for Siegel modular varieties, in a conference in memory of Armand Borel in Hangzhou, July 2004.
  
  
• The abstract Artin problem for a global function field, .pdf format
  
  
• A possible generalization of Artin's conjecture for primitive roots, .pdf format
  
  
• Fine structures of moduli spaces in positibe characteristics, .pdf format
  
  
• Families of abelian varieties in positive characteristics, .pdf format, or Families of abelian varieties in positive characteristics, .dvi format. This is a survey talk on the fine structures of modular varieties classifying abelian varieties with prescribed symmetries, including the Oort foliation and the Tate-linear subvarities.
  
  
• Geometry of Shimura varieties, .pdf format. This is a survey talk on the geometry of Shimura varieties, emphasizing the characteristic p aspects.
  
  
• Generalized Newton polygons, .pdf format. This is a talk on some combinatorial properties of Newton polygons, generalized to the context of reductive groups.
  
  

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