Representations of the fundamental group and geometry of algebraic varieties
2015/17/B/ST1/02634
Keywords
Descriptors
- ST1_4: Geometria algebraiczna i zespolona
- ST1_3: Teoria liczb
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
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 4
Call
OPUS 9 – announced on 2015-03-16
- Amount awarded
- 373 200 PLN
- Project start date
- 2016-01-21
- Project end date
- 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]
- laptop. Cost: 9 000 PLN
- laptop 13-calowy MacBook Air z SuperDrive USB. Cost: 7 000 PLN
- mysz bezprzewodowa Apple.
- urzadzenie wielofunkcyjne (drukarka laserowa ze skanerem). Cost: 2 000 PLN
Information in the final report
Publication in academic press/journals (10)
-
Monodromy and log geometry
- Authors:
- Piotr Achinger, Arthur Ogus
- Academic press:
- Tunisian Journal of Mathematics (year: 2020, volume: 2, pages: 455-534), Publisher: Math. Sci. Publ.
- Status:
- Published
- DOI:
- 10.2140/tunis.2020.2.455 – link to the publication
-
ON NON-ABELIAN LUBIN-TATE THEORY AND ANALYTIC COHOMOLOGY
- Authors:
- PRZEMYSLAW CHOJECKI
- Academic press:
- Proceedings of the American Mathematical Society (year: 2018, volume: 146, pages: 459–471), Publisher: AMER MATHEMATICAL SOC
- Status:
- Published
- DOI:
- 10.1090/proc/13716 – link to the publication
-
Some elementary examples of non-liftable schemes
- Authors:
- Piotr Achinger, Maciej Zdanowicz
- Academic press:
- Proceedings of the American Mathematical Society (year: 2017, volume: 11, pages: 4717–4729), Publisher: AMER MATHEMATICAL SOC
- Status:
- Published
- DOI:
- 10.1090/proc/13622 – link to the publication
-
Wild ramification and K(pi, 1) spaces
- Authors:
- Piotr Achinger
- Academic press:
- Inventiones Mathematicae (year: 2017, volume: 210, pages: 453–499), Publisher: SPRINGER HEIDELBERG
- Status:
- Published
- DOI:
- 10.1007/s00222-017-0733-5 – link to the publication
-
Rank 3 rigid representations of projective fundamental groups
- Authors:
- Adrian Langer, Carlos Simpson
- Academic press:
- Compositio Mathematica (year: 2018, volume: 154, pages: 1534-1570), Publisher: CAMBRIDGE UNIV PRESS
- Status:
- Published
- DOI:
- 10.1112/S0010437X18007182 – link to the publication
-
WEAK LOCAL-GLOBAL COMPATIBILITY AND ORDINARY REPRESENTATIONS
- Authors:
- PRZEMYSLAW CHOJECKI
- Academic press:
- RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA (year: 2018, volume: 139, pages: 159–183), Publisher: C E D A M SPA CASA EDITR DOTT ANTONIO MILANI
- Status:
- Published
- DOI:
- 10.4171/RSMUP/139-5 – link to the publication
-
Lifting zero-dimensional schemes and divided powers
- Authors:
- Adrian Langer
- Academic press:
- BULLETIN OF THE LONDON MATHEMATICAL SOCIETY (year: 2018, volume: 50, pages: 449-461), Publisher: Oxford Univ. Press
- Status:
- Published
- DOI:
- 10.1112/blms.12151 – link to the publication
-
Birational geometry of compactifications of Drinfeld half-spaces over a finite field
- Authors:
- Adrian Langer
- Academic press:
- Advances in Mathematics (year: 2019, volume: 345, pages: 861-908), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.aim.2019.01.031 – link to the publication
-
On Smooth Projective D-Affine Varieties
- Authors:
- Adrian Langer
- Status:
- Accepted for publication
-
Global Frobenius liftability I
- Authors:
- Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
- Status:
- Accepted for publication