Workshop on Extremal Kähler Metrics
and Stability
Edinburgh, 17-21 July 2006
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Scientific Programme and Participants
Workshop themesThe core topic of the workshop will be a natural generalization of the Aubin-Calabi-Yau metrics, extremal Kähler metrics. The existence problem for such metrics is a deep one, and certainly involves an interplay with nonlinear analysis on the one hand and the algebra-geometric notion of K-stability on the other. Related areas will also be considered, for example blow-up and desingularization theorems, the use of special techniques for the construction of examples of extremal Kähler metrics, and algebro-geometric theory of moduli of varieties.
Workshop structure
The Workshop starts with Registration (between 09.00 and 10.00) on Monday 17 July and finishes in the afternoon of Friday 21 July. There will be three one-hour lectures on most days, with ample time for discussion and contributed talks. A full programme will be posted on this page by June.
A link to expected participants can be found here.
For Programme click here.
Main speakers will include the following:
Valery Alexeev (Georgia)
Claudio Arezzo (Universita di Parma)
David Calderbank (York)
Simon Donaldson (Imperial)
Xiuxiong Chen (Madison)
Frances Kirwan (Oxford)
Claude LeBrun (SUNY Stony Brook)
Xiaonan Ma (École Polytechnique, Palaiseau)
Toshiki Mabuchi (Osaka)
Jacob Sturm (Rutgers)
Gang Tian (Princeton University)
Eckart Viehweg (Essen)
Ben Weinkove (Harvard)
Steve Zelditch (Johns Hopkins)
Provisional Programme
Monday 17 July
| 09.00-10.00 | Registration and coffee |
| 10.15-11.15 | Steve Zelditch (Johns Hopkins University) Geodesics in spaces of metrics on a toric variety |
| 11.15-11.45 | Coffee |
| 11.45-12.45 | Simon Donaldson (Imperial College London) Extremal metrics on toric surfaces |
| 12.45-14.30 | Lunch in Exhibition Room, 14 India Street |
| 14.30-15.30 | Xiaowei Wang (Hong Kong) Moment map in Riemannian geometry |
| 15.30-16.00 | Coffee |
| 16.00-17.00 | Simon Donaldson (Imperial College London) Numerical solutions in Kähler geometry |
| 17.30 | Reception with wine, 14 India Street |
Tuesday 18 July
| 09.30-10.30 | Frances Kirwan (University of Oxford) Symplectic implosion and non-reductive quotients |
| 10.30-11.00 | Coffee |
| 11.00-12.00 | Eckhart Viehweg (University of Essen) Compactification of base spaces of morphisms and of moduli schemes |
| 12.00-14.00 | Lunch break |
| 14.00-15.00 | Ben Weinkove (Harvard University) Energy functionals in Kähler geometry |
| 15.00-15.30 | Coffee |
| 15.30-16.30 | Xiuxiong Chen (University of Wisconsin-Madison) Geodesic ray, lower bound of geodesic distance and the Calabi energy |
| 16.30-17.30 | Gabor Szekelyhidi (Imperial College London) The Calabi functional on a ruled surface |
| 19.00 | Group meal at Nargile, Hanover Street |
Wednesday 19 July
| 09.30-10.30 | David Calderbank (University of York) Projective bundles of order one |
| 10.30-11.00 | Coffee |
| 11.00-12.00 | Valery Alexeev (University of Georgia) Branchvarieties and stable branchpairs |
| 12.00 | Free afternoon |
Thursday 20 July
| 09.30-10.30 | Gang Tian (Princeton University) Kähler-Ricci flow and minimal models |
| 10.30-11.00 | Coffee |
| 11.00-12.00 | Toshiki Mabuchi (University of Osaka) Stabilities and extremal metrics for polarized algebraic manifolds |
| 12.00-14.00 | Lunch break |
| 14.00-15.00 | Xiaonan Ma (École Polytechnique, Palaiseau) Asymptotic expansion of Bergman kernel, without or with group actions |
| 15.00-15.30 | Coffee |
| 15.30-16.30 | Julius Ross (Columbia) Slope stability of polarised varieties |
| 19.00 | Workshop Dinner, Howies, Waterloo Place (dress informal) |
Friday 17 July
| 09.30-10.30 | Claudio Arrezzo (Universita di Parma) Extremal metrics and blow ups |
| 10.30-11.00 | Coffee |
| 11.00-12.00 | Jacob Sturm (Rutgers University) Test configurations and geodesicsin the space of Kähler potentials |
| 12.00-14.00 | Lunch break |
| 14.00-15.00 | Claude LeBrun (SUNY Stony Brook) The Einstein-Maxwell equations, extremal Kähler metrics, and Seiberg-Witten theory |
| 15.00-15.30 | Coffee |
Return to Wednesday | Return to Thursday
Expected Participants
27 June
| Name | Institution |
| Abreu, Miguel | Instituto Superior Tecnico |
| Alexeev, Valery | University of Georgia |
| Apostolov, Vestislav | University of Quebec at Montreal |
| Arezzo, Claudio | Universita di Parma |
| Calderbank, David | University of York |
| Chen, Xiuxiong | University of Wisconsin-Madison |
| Dai, Xianzhe | University of California, Santa Barbara |
| Donaldson, Simon | Imperial College, London |
| Fine, Joel | Imperial College, London |
| Futaki, Atiko | Tokyo Institute of Technology |
| Gauduchon, Paul | École Polytechnique et CNRS |
| Hwang, Andrew | College of the Holy Cross |
| Keller, Julien | Imperial College London |
| Kirwan, Frances | University of Oxford |
| LeBrun, Claude | SUNY Stony Brook |
| Ma, Xiaonan | École Polytechnique, Palaiseau |
| Mabuchi, Toshiki | University of Osaka |
| Marinescu, George | Johann Wolfgang Goethe Universität |
| Maschler, Gideon | Emory University |
| Pacard, Frank | Université Paris 12 |
| Panov, Dmitri | Imperial College London |
| Paul, Sean | University of Wisconsin-Madison |
| Phong, Duong | Columbia University |
| Popovici, Dan | University of Warwick |
| Rollin, Yann | Imperial College, London |
| Ross, Julius | Columbia University |
| Sano, Yuji | IHES visitor |
| Simanca, Santiago | University of New Mexico |
| Singer, Michael | University of Edinburgh |
| Song, Jian | Johns Hopkins University |
| Sturm, Jacob | Rutgers University |
| Szekelyhidi, Gabor | Imperial College, London |
| Thomas, Richard | Imperial College, London |
| Tian, Gang | Princeton University |
| Tonnesen-Friedman, Christina | Union College |
| Viehweg, Eckart | University of Essen |
| Wang, Xiaowei | Chinese University of Hong Kong |
| Weinkove, Ben | Harvard University |
| Zelditch, Steve | Johns Hopkins University |
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