Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Representations of the fundamental group and geometry of algebraic varieties

2015/17/B/ST1/02634

Keywords:

algebraic variety vector bundle algebraic connections the fundamental group

Descriptors:

  • ST1_4: Algebraic and complex geometry
  • ST1_3: Number theory

Panel:

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

Host institution :

Instytut Matematyczny PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Adrian Langer 

Number of co-investigators in the project: 4

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 373 200 PLN

Project start date (Y-m-d): 2016-01-21

Project end date (Y-m-d): 2020-01-20

Project duration:: 48 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. urzadzenie wielofunkcyjne (drukarka laserowa ze skanerem) (2 000 PLN)
  2. laptop (9 000 PLN)
  3. mysz bezprzewodowa Apple.
  4. laptop 13-calowy MacBook Air z SuperDrive USB (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  1. Birational geometry of compactifications of Drinfeld half-spaces over a finite field
    Authors:
    Adrian Langer
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 345, strony: 861-908), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.01.031 - link to the publication
  2. Lifting zero-dimensional schemes and divided powers
    Authors:
    Adrian Langer
    Academic press:
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (rok: 2018, tom: 50, strony: 449-461), Wydawca: Oxford Univ. Press
    Status:
    Published
    DOI:
    10.1112/blms.12151 - link to the publication
  3. Monodromy and log geometry
    Authors:
    Piotr Achinger, Arthur Ogus
    Academic press:
    Tunisian Journal of Mathematics (rok: 2020, tom: 2, strony: 455-534), Wydawca: Math. Sci. Publ.
    Status:
    Published
    DOI:
    10.2140/tunis.2020.2.455 - link to the publication
  4. Some elementary examples of non-liftable schemes
    Authors:
    Piotr Achinger, Maciej Zdanowicz
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2017, tom: 11, strony: 4717–4729), Wydawca: AMER MATHEMATICAL SOC
    Status:
    Published
    DOI:
    10.1090/proc/13622 - link to the publication
  5. Wild ramification and K(pi, 1) spaces
    Authors:
    Piotr Achinger
    Academic press:
    Inventiones Mathematicae (rok: 2017, tom: 210, strony: 453–499), Wydawca: SPRINGER HEIDELBERG
    Status:
    Published
    DOI:
    10.1007/s00222-017-0733-5 - link to the publication
  6. Global Frobenius liftability I
    Authors:
    Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
    Academic press:
    Journal of the European Mathematical Society , Wydawca: European Mathematical Society
    Status:
    Accepted for publication
    DOI:
    10.4171/JEMS/1063 - link to the publication
  7. Global Frobenius liftability II: surfaces and Fano threefolds
    Authors:
    Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Nearby cycles and semipositivity in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    beak - link to the publication
  9. Rank 3 rigid representations of projective fundamental groups
    Authors:
    Adrian Langer, Carlos Simpson
    Academic press:
    Compositio Mathematica (rok: 2018, tom: 154, strony: 1534-1570), Wydawca: CAMBRIDGE UNIV PRESS
    Status:
    Published
    DOI:
    10.1112/S0010437X18007182 - link to the publication
  10. ON NON-ABELIAN LUBIN-TATE THEORY AND ANALYTIC COHOMOLOGY
    Authors:
    PRZEMYSLAW CHOJECKI
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 459–471), Wydawca: AMER MATHEMATICAL SOC
    Status:
    Published
    DOI:
    10.1090/proc/13716 - link to the publication
  11. WEAK LOCAL-GLOBAL COMPATIBILITY AND ORDINARY REPRESENTATIONS
    Authors:
    PRZEMYSLAW CHOJECKI
    Academic press:
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA (rok: 2018, tom: 139, strony: 159–183), Wydawca: C E D A M SPA CASA EDITR DOTT ANTONIO MILANI
    Status:
    Published
    DOI:
    10.4171/RSMUP/139-5 - link to the publication
  12. On Smooth Projective D-Affine Varieties
    Authors:
    Adrian Langer
    Academic press:
    International Mathematics Research Notices , Wydawca: Oxford Univ. Press
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnz370 - link to the publication
  13. p-adic Jacquet-Langlands correspondence and patching
    Authors:
    Przemyslaw Chojecki, Erick Knight
    Academic press:
    TBA , Wydawca: TBA
    Status:
    Submitted
    DOI:
    brak - link to the publication

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