Current Developments in Hodge Theory Proceedings of Hodge Theory at IMSA /
This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami. One of the main themes is the stu...
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| Andre forfattere: | , , |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
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Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Udgivelse: | 1st ed. 2025. |
| Serier: | Simons Symposia,
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| Online adgang: | https://doi.org/10.1007/978-3-031-99683-2 |
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| 245 | 1 | 0 | |a Current Developments in Hodge Theory |h [electronic resource] : |b Proceedings of Hodge Theory at IMSA / |c edited by Phillip Griffiths, Ludmil Katzarkov, Carlos Simpson. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XI, 348 p. 11 illus.). |b 6 illus. in color. | ||
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| 505 | 0 | |a Preface -- Introduction -- The Coble-Mukai lattice from Q-Gorenstein deformations -- Hyperbolic geometry of moduli spaces of algebraic varieties via Hodge theory, and beyond -- Semistable reduction over thick log points -- Degeneration of Hodge structures on I-surfaces -- Foliations and stable maps -- Pseudoconvexity at infinity in Hodge theory: a codimension one example -- The model theory of canonical models of Shimura curves -- Moduli spaces on Kuznetsov components are irreducible symplectic varieties -- Mapping class groups of simply connected Kahler manifolds -- Hodge theory of degenerations, (II): vanishing cohomology and geometric applications. | |
| 520 | |a This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami. One of the main themes is the study of moduli spaces and their compactifications. Several articles speak of the singularities occuring in the boundaries of geometrical or Hodge-theoretic compactifications, semistable reduction, the implications of canonical models for model theory in the sense of logic, and fundamental groups of moduli spaces and their associated Torelli groups. Other topics include Mukai lattices, derived moduli spaces, foliations, Higgs bundles and hyperbolicity, the study of pseudoconvexity properties of neighborhoods of infinity, contributions to the theory of degenerations and limiting mixed Hodge structures. This text will provide an indispensable reference for research mathematicians and specialist graduate students, where the modern approaches to moduli spaces are illustrated by their realizations and applications in examples of interest for the interplay between Hodge theory and moduli spaces. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Number theory. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Number Theory. |
| 700 | 1 | |a Griffiths, Phillip. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Katzarkov, Ludmil. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Simpson, Carlos. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
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