Dear Colleague,

We are writing to announce a summer school and workshop entitled `Ricci 
curvature: limit spaces and Kaehler geometry' to take place in Edinburgh 1 
July 2013 -- 12 July 2013.  The theme of the programme will be the geometry 
and analysis of the Ricci tensor on Riemannian manifolds, with applications to 
the study of Einstein metrics and to Kahler geometry.

For more information and to apply to attend, please go to

http://icms.org.uk/workshop.php?id=262

for the summer school or for the summer school and workshop and to

http://www.icms.org.uk/workshop.php?id=256

for the workshop only. 

Limited funding is available to support participants and can be applied for 
through the online application forms. Applications for funding will be 
considered for participants applying by 31 December 2012.  Funding decisions 
will be made and communicated to participants by 31 January 2013.

Please encourage your students to apply for the summer school.

Below is some further information about the summer school and workshop.

With regards,

The scientific organising committee:
Gilles Carron,
Mark Haskins,
Hajo Hein,
Michael Singer.


The workshop will take the form of a two-week programme. The first week - 
the Summer School - being aimed at graduate students and postdocs, the 
second week for this same audience plus a further group of participants.

A list of mini-courses for the first week is as follows (each four lectures):
(i) Comparison geometry with Ricci bounds, including Gromov-Hausdorff limits 
(Christina Sormani, CUNY)
(ii) Introduction to Kahler geometry, including Yau's proof of the Calabi 
conjecture (Gabor Szekelyhidi, University of Notre Dame)
(iii) Introduction to epsilon-regularity and removable singularity theorems in 
geometric analysis (Brian Weber, University of Pennsylvania)
(iv) Tian's resolution of the Calabi conjecture for complex surfaces (Hans-
Joachim Hein, Imperial College)
(v) Cheeger-Colding theory: volume convergence and the effective splitting 
theorem. (Aaron Naber, MIT)

In the second week the workshop activities will centre around more advanced 
mini-series (four lectures each),  dealing with recent breakthroughs and open 
problems:

(1) Holder continuous behaviour of tangent cones and applications 
(2) The Margulis lemma under lower Ricci bounds 
(3) Regularity theory/analysis of singular sets, especially for Einstein metrics 
(4) Progress and outlook on the Kahler-Einstein problem on Fano manifolds 
and related issues in Kahler geometry 

These lectures will be delivered by Jeff Cheeger, Tobias Colding, Simon 
Donaldson, Aaron Naber, Gang Tian and Burkhard Wilking.

These mini-series of lectures will be continuations, at the research level, of 
the topics covered in the summer school. Besides these series, there will be 
approximately eight one-hour lectures on related topics which will be chosen 
by the Scientific Advisory Group nearer the time of the workshop.

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