Model-theoretic and algebraic properties of separably closed G-fields.

2016/21/N/ST1/01465

Keywords

Descriptors

  • ST1_1: Logika i podstawy matematyki
  • ST1_2: Algebra

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

Daniel Maksymilian Hoffmann

Number of co-investigators in the project: 2

Call

PRELUDIUM 11 – announced on 2016-03-15

Amount awarded
80 550 PLN
Project start date
2017-03-09
Project end date
2020-03-08
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Project description

Download the project description in a pdf file

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer osobisty. Cost: 4 950 PLN

Information in the final report

Publication in academic press/journals (6)

  1. Model theoretic dynamics in Galois fashion

    Authors:
    Daniel M. Hoffmann
    Academic press:
    Annals of Pure and Applied Logic (year: 2019, volume: Vol.170 Issue 7, pages: 755-804), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.apal.2019.02.002 – link to the publication
  2. Model theory of fields with free operators in positive characteristic

    Authors:
    Ozlem Beyarslan, Daniel M. Hoffmann, Moshe Kamensky, Piotr Kowalski
    Academic press:
    Transactions of the American Mathematical Society (year: 2019, volume: (8) 372, pages: 5991-6016), Publisher: AMS
    Status:
    Published
    DOI:
    10.1090/tran/7896 – link to the publication
  3. Fields with automorphism and valuation

    Authors:
    Ozlem Beyarslan, Daniel M. Hoffmann, Gonenc Onay, David Pierce
    Academic press:
    Archive for Mathematical Logic (year: 2020, volume: n/d, pages: n/d), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00153-020-00728-5 – link to the publication
  4. Elementarily Equivalence Theorem for PAC structures

    Authors:
    J. Dobrowolski, D.M. Hoffmann, J. Lee
    Academic press:
    Journal of Symbolic Logic (year: 2020, volume: 85(4), pages: 1467-1498), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jsl.2020.61 – link to the publication
  5. On Galois groups and PAC substructures

    Authors:
    Daniel M. Hoffmann
    Academic press:
    Fundamenta Mathematicae (year: 2020, volume: n/d, pages: n/d), Publisher: IMPAN
    Status:
    Published
    DOI:
    10.4064/fm788-10-2019 – link to the publication
  6. Existentially closed fields with finite group actions

    Authors:
    Daniel M. Hoffmann i Piotr Kowalski
    Academic press:
    Journal of Mathematical Logic (year: 2018, volume: (1) 18, pages: 1850003 (26 stron)), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219061318500034 – link to the publication

Articles in post-conference publications (1)

  1. PAC in nutshell

    Authors:
    Daniel M. Hoffmann
    Conference:
    RIMS Model Theory Workshop 2018 (year: 2019, pages: 23-34), Publisher: RIMS
    Date:
    conference 10.12.2018-12.12.2018
    Status:
    Published

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