ICMS

Ricci curvature: limit spaces and Kahler geometry

Jul 08, 2013 - Jul 12, 2013

ICMS, 15 South College Street

Organisers

Scientific advisory group:

Tobias Colding, MIT
Simon Donaldson, Imperial College London
Gang Tian, Princeton University
Burkhard Wilking, Universität Munster

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.

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)
Of these, (i), (ii) and (iii) are the basic courses needed as background for the more advanced courses (iv) and (v). The organisers will ensure full engagement with the topics through the provision of problem sessions for as many of these mini-courses as possible.

Participants who would like to take part in the Summer School should use this APPLICATION FORM

In the second week (8-12 July) the workshop activities will centre around a more advanced mini-series of three (four lectures each, dealing with recent breakthroughs and open problem):
(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 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.

This workshop is generously supported by the Clay Mathematics Institute and the Centre for Analysis and Nonlinear PDEs  (Maxwell Institute for Mathematical Sciences)

Arrangements

Participation
The application form is now closed. All applicants will receive an email from ICMS by Thursday 28 March. The workshop and associated summer school have proved to be extremely popular and demand for places is very high. 

UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.  Once your application for the workshop has been accepted, it is possible (on request) for ICMS to provide you with a signed letter indicating that you application to attend has been approved. 

Venue
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.   This room has a data projector, computer, visualiser and two blackboards.  The projector and one board may be used simultaneously.   Speakers are encouraged to bring their presentations in pdf format on a memory stick or USB and load this onto the ICMS computer in the Newhaven Lecture Theatre in advance of their talk. 

Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails.

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 3.50 single or 6.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.50 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second railway station is called Haymarket and is at the West End of the city centre.

Programme

Further details about the workshop programme will appear here shortly.

Participants