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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Geometry and differential operators on algebraic varieties

2021/41/B/ST1/03741

Keywords:

algebraic varieties rings of differential operators D-modules moduli spaces Higgs bundles non-abelian Hodge theory

Descriptors:

  • ST1_4: Algebraic and complex geometry

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

woj.

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 21 - announced on 2021-03-15

Amount awarded: 559 300 PLN

Project start date (Y-m-d): 2022-01-13

Project end date (Y-m-d): 2026-01-12

Project duration:: 48 months (the same as in the proposal)

Project status: Pending project

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.

Information in the final report

  • Publication in academic press/journals (8)
  1. Intersection theory and Chern classes on normal varieties
    Authors:
    Adrian Langer
    Academic press:
    TBA (rok: 2100, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Submitted
    DOI:
    link to the publication
  2. Bogomolov's inequality and Higgs sheaves on normal varieties in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    TBA (rok: 2100, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Submitted
    DOI:
    link to the publication
  3. Approximation of semistable bundles on smooth algebraic varieties
    Authors:
    Adrian Langer
    Academic press:
    TBA (rok: 2100, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Submitted
  4. Bogomolov's inequality and Higgs sheaves on normal varieties in positive characteristic
    Authors:
    Adrian Langer
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2024, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Published
    DOI:
    10.1515/crelle-2023-0101 - link to the publication
  5. Positivity vs. slope semistability for bundles with vanishing discriminant
    Authors:
    Mihai Fulger, Adrian Langer
    Academic press:
    Journal of Algebra (rok: 2022, tom: 609, strony: 657-687), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.07.014 - link to the publication
  6. Intersection theory and Chern classes on normal varieties
    Authors:
    Adrian Langer
    Academic press:
    TBA (rok: 2100, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Submitted
    DOI:
    link to the publication
  7. Approximation of semistable bundles on smooth algebraic varieties
    Authors:
    Adrian Langer
    Academic press:
    TBA (rok: 2100, tom: TBA, strony: TBA), Wydawca: TBA
    Status:
    Submitted
  8. Positivity vs. slope semistability for bundles with vanishing discriminant
    Authors:
    Mihai Fulger, Adrian Langer
    Academic press:
    Journal of Algebra (rok: 2022, tom: 609, strony: 657-687), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.07.014 - link to the publication

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