JournalsowrVol. 15, No. 4pp. 2739–2767

Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals

  • Thomas Bauer

    Philipps-Universität, Marburg, Germany
  • Susan Cooper

    University of Manitoba, Winnipeg, Canada
  • Brian Harbourne

    University of Nebraska-Lincoln, USA
  • Justyna Szpond

    Pedagogical University of Cracow, Kraków, Poland
Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals cover

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Abstract

Recent decades have witnessed a shift in interest from isolated objects to families of objects and their limit behavior, both in algebraic geometry and in commutative algebra. A series of various invariants have been introduced in order to measure and capture asymptotic properties of various algebraic objects motivated by geometrical ideas. The major goals of this workshop were to refine these asymptotic ideas, to articulate unifying themes, and to identify the most promising new directions for study in the near future. We expect the ideas discussed and originated during this workshop to be poised to have a broad impact beyond the areas of algebraic geometry and commutative algebra.

Cite this article

Thomas Bauer, Susan Cooper, Brian Harbourne, Justyna Szpond, Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals. Oberwolfach Rep. 15 (2019), no. 4, pp. 2739–2767

DOI 10.4171/OWR/2018/45