Lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3-5, 2002

Rok: c2003
ISBN: 9781571461148
OKCZID: 110095386

Citace (dle ČSN ISO 690):
YAU, Shing-Tung, ed. Lectures on geometry and topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University, May 3-5, 2002. Somerville: International Press, c2003. 393 s. Surveys in differential geometry, 8.

Anotace

The annual Surveys in Differential Geometry volume is received with anticipation each year as it summarizes many of the recent discoveries in the field. This year's volume is dedicated to Professors Calabi, Lawson, Siu, and Uhlenbeck. It contains important contributions by their students and colleagues and reflects the important work in the field by these great mathematicians. The volume is suitable for graduate students and researchers interested in geometry and topology. Table of Contents: 1. Projective planes, Severi varieties and spheres - M. Atiyah and J. Berndt 2. Degeneration of Einstein metrics and metrics with special holonomy - J. Cheeger 3. The min-max construction of minimal surfaces - T. H. Colding and C. De Lellis 4. Universal volume bounds in Riemannian manifolds - C. B. Croke and M. Katz 5. A Kawamata-Viehweg vanishing theorem on compact Kahler manifolds - J.-P. Demailly and T. Peternell 6. Moment maps in differential geometry - S. K. Donaldson 7. Local rigidity for cocycles - D. Fisher and G. A. Margulis 8. Einstein metrics, four-manifolds, and differential topology - C. LeBrun 9. Topological quantum field theory for Calabi-Yau threefolds and $G_2$-manifold - N. C. Leung 10. Geometric results in classical minimal surface theory - W. H. Meeks III 11. On global existence of wave maps with critical regularity - A. Nahmod 12. Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks - E. Viehweg and K. Zuo 13. Geometry of the Weil-Petersson completion of Teichmüller space - S. A. Wolpert

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