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Publisher’s description: In 1967, C.-C. Hsiung at Lehigh University had the vision to form the Journal of Differential Geometry (JDG) – a journal dedicated to geometry alone. On the journal’s fiftieth anniversary in 2017, a distinguished group of geometers gathered to present their papers at the annual JDG geometry and topology conference at Harvard University.
This volume presents several of those papers, which include: Denis Auroux on speculations on homological mirror symmetry for hypersurfaces in \(\mathbb C^n\) ; Frances Kirwan on variation of non-reductive geometric invariant theory; Camillo De Lellis on the Onsager theorem; Simon Donaldson’s remarks on \(G_2\)-manifolds with boundary; Daniel Freed on equivariant Chern-Weil forms and determinant lines; Kenji Fukaya on construction of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks; Larry Guth on recent progress in quantitative topology; Blain Lawson on Lagrangian potential theory and a Lagrangian equation of Monge-Ampère type; Alena Pirutka on intersections of three-quadrics in \(\mathbb P^7\); Bong Lian on period integrals and tautological systems; Yujiro Kawamata on birational geometry and derived categories; Fernando C. Marques on the space of cycles, a Weyl law for minimal hypersurfaces, and Morse index estimates; Duong Phong on new curvature flows in complex geometry; and Steve Zelditch on local and global analysis of nodal sets.
The articles of this volume will be reviewed individually.
Indexed articles:
Auroux, Denis, Speculations on homological mirror symmetry for hypersurfaces in \((\mathbb{C}^{\ast})^n\), 1-47 [Zbl 1406.53086]
Bérczi, Gergely; Jackson, Joshua; Kirwan, Frances, Variation of non-reductive geometric invariant theory, 49-69 [Zbl 1423.14261]
De Lellis, Camillo, The Onsager theorem, 71-101 [Zbl 1406.35247]
Donaldson, Simon, Remarks on \(G_2\)-manifolds with boundary, 103-124 [Zbl 1412.53042]
Freed, Daniel S., On equivariant Chern-Weil forms and determinant lines, 125-132 [Zbl 1411.58012]
Fukaya, Kenji; Oh, Yong-Geun; Ohta, Hiroshi; Ono, Kaoru, Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks. I, 133-190 [Zbl 1409.32021]
Guth, Larry, Recent progress in quantitative topology, 191-216 [Zbl 1426.55013]
Reese, Harvey F.; Lawson, H. Blaine, Lagrangian potential theory and a Lagrangian equation of Monge-Ampère type, 217-257 [Zbl 1457.32091]
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri, Intersections of three quadrics in \(\mathbb{P}^7\), 259-274 [Zbl 1423.14102]
Huang, An; Lian, Bong; Yau, Shing-Tung; Yu, Chenglong, Period integrals and tautological systems, 275-289 [Zbl 1410.32008]
Kawamata, Yujiro, Birational geometry and derived categories, 291-317 [Zbl 1454.14047]
Marques, Fernando C.; Neves, André, The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates, 319-329 [Zbl 1435.53047]
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen, New curvature flows in complex geometry, 331-364 [Zbl 1408.32027]
Zelditch, Steve, Local and global analysis of nodal sets, 365-406 [Zbl 1405.58015]