Some Lectures
Some talks by Ching-Li Chai
Work on these articles have been supported by the National Science
Foundation since 1990, including the following grants:
DMS09-01163, DSM04-00482, DMS01-00441, DMS98-00609, DSM95-02186.
- CM liftings
prit version of a talk at the June 2011 NCTS International Conference
on Galois representations, automorphic forms and Shimura varieties;
slides verstion/A>s
- CM liftings
print version of a colloquium at University of Minnesota, April 29, 2010.
- CM lifting of
abelian varieties .dvi file of slides for a talk at Princeton
University, March 26, 2008=.
- Monodromy
Slides for a colloquium talk at Utrecht University, May 15, 2008.
- 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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