Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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:
  • ST1_3:

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 Polskiej Akademii Nauk

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 (11)
  1. 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
  2. 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
  3. 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
  4. 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
  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. 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
  7. 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
  8. 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
  9. 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
  10. On Smooth Projective D-Affine Varieties
    Authors:
    Adrian Langer
    Status:
    Accepted for publication
  11. Global Frobenius liftability I
    Authors:
    Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
    Status:
    Accepted for publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy