Algebraic Geometry Salt Lake City 2015 (Part 2)

Inbunden, Engelska, 2018

Del i serien Proceedings of Symposia in Pure Mathematics

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Beskrivning

This is Part 2 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic $p$ and $p$-adic tools, etc. The resulting articles will be important references in these areas for years to come.

Produktinformation

Utgivningsdatum:2018-06-30
Mått:178 x 254 x undefined mm
Vikt:1 300 g
Format:Inbunden
Språk:Engelska
Serie:Proceedings of Symposia in Pure Mathematics
Antal sidor:641
Förlag:American Mathematical Society
ISBN:9781470435783

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Tommaso de Fernex, University of Utah, Salt Lake City, UT.Brendan Hassett, Brown University, Providence, RI.Mircea Mustata, University of Michigan, Ann Arbo, MI.Martin Olsson, University of California, Berkeley, CA.Mihnea Popa, Northwestern University, Evanston, IL.Richard Thomas, Imperial College of London, United Kingdom.

Innehållsförteckning

Part 2: D. Ben-Zvi and D. Nadler, Betti geometric LanglandsB. Bhatt, Specializing varieties and their cohomology from characteristic 0 to characteristic $p$T. D. Browning, How often does the Hasse principle hold?L. Caporaso, Tropical methods in the moduli theory of algebraic curvesR. Cavalieri, P. Johnson, H. Markwig, and D. Ranganathan, A graphical interface for the Gromov-witten theory of curvesH. Esnault, Some fundamental groups in arithmetic geometryL. Fargues, From local class field to the curve and vice versaM. Gross and B. Siebert, Intrinsic mirror symmetry and punctured Gromov-Witten invariantsE. Katz, J. Rabinoff, and D. Zureick-Brown, Diophantine and tropical geometry, and uniformity of rational points on curvesK. S. Kedlaya and J. Pottharst, On categories of $(\varphi,\Gamma)$-modulesM. Kim, Principal bundles and reciprocity laws in number theoryB. Klingler, E. Ullmo, and A. Yafaev, Bi-algebraic geometry and the Andre-Ooert conjectureM. Lieblich, Moduli of sheaves: A modern primerJ. Nicaise, Geometric invariants for non-archimedean semialgebraic setsT. Pantev and G. Vezzosi, Symplectic and Poisson derived geometry and deformation quantizationA. Pirutka, Varieties that are not stably rational, zero-cycles and unramified cohomologyT. Saito, On the proper push-forward of the characteristic cycle of a constructible sheafT. Szamuely and G. Zabradi, The $p$-adic Hodge decomposition according to BeilinsonA. Tamagawa, Specialization of $\ell$-adic representations of arithmetic fundamental groups and applications to arithmetic of abelian varietiesO. Wittenberg, Rational points and zero-cycles on rationally connected varieties over number fields.