Birational geometry and elliptic cohomology invariants
2022/47/B/ST1/01896
Keywords
- birational maps
- algebraic cobordism
- Cremona transformations
- resolution of singularities
- factorization of birational maps
- elliptic characteristic classes
- theta functions
- Hecke algebra
- Borel group orbits
- nilpotent orbits
- Demazure-Lusztig operations
- complex contact manifolds
- torus actions and their quotients.
Descriptors
- ST1_004: Geometria algebraiczna i zespolona
- ST1_007: Grupy Liego i algebry Liego
- ST1_002: 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
Principal investigator (from the host institution)
prof. Jarosław Antoni Wiśniewski
Number of co-investigators in the project: 2
Call
OPUS 24 – announced on 2022-07-15
- Amount awarded
- 488 000 PLN
- Project start date
- 2023-09-01
- Project end date
- 2027-08-31
- 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 (3)
-
Chow quotients of C* actions
- Authors:
- Gianluca Occhetta, Eleonora Romano, Luis Sola Conde, Jarosław Wisniewski
- Academic press:
- International Mathematics Research Notices (year: 2025, volume: vol. 2025, issue 12, June 2025, pages: 46050), Publisher: Oxford University Press
- Status:
- Published
- DOI:
- 10.1093/imrn/rnaf154 – link to the publication
-
Hecke algebra action on twisted motivic Chern classes and K-theoretic stable envelopes
- Authors:
- Jakub Koncki, Andrzej Weber
- Academic press:
- Mathematische Annalen (year: 2024, volume: 391, pages: 1899-1964), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00208-024-02953-2 – link to the publication
-
A note on the push-forward formulas for even orthogonal Grassmannians
- Authors:
- Andrzej Weber, Magdalena Zielenkiewicz
- Academic press:
- Fundamenta Mathematicae (year: 2024, volume: 266, pages: 263-274), Publisher: IM PAN
- Status:
- Published
- DOI:
- 10.4064/fm230906-13-5 – link to the publication