Combinatorics with an analytic structure

Project Information

CASe

Grant agreement ID: 716424

DOI

10.3030/716424

Project closed

EC signature date 23 November 2016

Start date 1 December 2016

End date 31 May 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 337 200,00

EU contribution

€ 1 337 200,00

Coordinated by

KOBENHAVNS UNIVERSITET
Denmark

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (11)

Barycentric Subdivisions of Convex Complexes are Collapsible

Author(s): Karim Adiprasito, Bruno Benedetti
Published in: Discrete & Computational Geometry, Issue 64/3, 2020, Page(s) 608-626, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-019-00137-3

Rigidity with few locations

Author(s): Karim Adiprasito, Eran Nevo
Published in: Israel Journal of Mathematics, Issue 240/2, 2020, Page(s) 711-723, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-020-2076-y

ENVY‐FREE DIVISION USING MAPPING DEGREE

Author(s): Sergey Avvakumov, Roman Karasev
Published in: Mathematika, Issue 67/1, 2021, Page(s) 36-53, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/mtk.12059

Convexity of complements of tropical varieties, and approximations of currents

Author(s): Karim Adiprasito, Farhad Babaee
Published in: Mathematische Annalen, Issue 373/1-2, 2019, Page(s) 237-251, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-018-1728-2

Hodge theory for combinatorial geometries

Author(s): Karim Adiprasito, June Huh, Eric Katz
Published in: Annals of Mathematics, Issue 188/2, 2018, Page(s) 381-452, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2018.188.2.1

Extremal examples of collapsible complexes and random discrete Morse theory

Author(s): Karim Adiprasito, Bruno Benedetti, and Frank H. Lutz.
Published in: Discrete & Computational Geometry, Issue 57.4, 2017, Page(s) 824-853, ISSN 0179-5376
Publisher: Springer Verlag

On Betti numbers of flag complexes with forbidden induced subgraphs

Author(s): Karim Adiprasito, Eran Nevo, and Martin Tancer
Published in: Mathematical Proceedings Cambridge Philosophical Society, 2016, ISSN 0305-0041
Publisher: Cambridge University Press

Vanishing of All Equivariant Obstructions and the Mapping Degree

Author(s): Sergey Avvakumov, Sergey Kudrya
Published in: Discrete & Computational Geometry, 2020, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-021-00299-z

Locally heavy hyperplanes in multiarrangements

Author(s): Takuro Abe, Lukas Kühne
Published in: Journal of Pure and Applied Algebra, Issue 226/1, 2022, Page(s) 106791, ISSN 0022-4049
Publisher: Elsevier BV
DOI: 10.1016/j.jpaa.2021.106791

Collapsibility of CAT(0) spaces

Author(s): Karim Adiprasito, Bruno Benedetti
Published in: Geometriae Dedicata, Issue 206/1, 2020, Page(s) 181-199, ISSN 0046-5755
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10711-019-00481-x

A Cheeger-type exponential bound for the number of triangulated manifolds

Author(s): Karim Adiprasito, Bruno Benedetti
Published in: Annales de l’Institut Henri Poincaré D, Issue 7/2, 2020, Page(s) 233-247, ISSN 2308-5827
Publisher: EMS Press
DOI: 10.4171/aihpd/85

Other (9)

Explicit computations of Fourier transforms of polyhedral cones

Author(s): Le, Quang-Nhat
Published in: Issue 1, 2018
Publisher: preprint

Lefschetz and Lower Bound theorems for Minkowski sums

Author(s): Adiprasito, Karim
Published in: Issue 1, 2017
Publisher: preprint

QGLBT for polytopes

Author(s): Adiprasito, Karim; Burens, Mikhail; Nevo, Eran
Published in: Issue 1, 2018
Publisher: preprint

Rigidity with few locations

Author(s): Adiprasito, Karim; Nevo, Eran
Published in: Issue 1, 2018
Publisher: preprint

A Cheeger-type exponential bound for the number of triangulated manifolds

Author(s): Adiprasito, Karim; Benedetti, Bruno
Published in: Annals Institute Henri Poincare D, Issue 1, 2017
Publisher: preprint, accepted for publication by European Mathematical Society

Log smoothness and polystability over valuation rings

Author(s): Adiprasito, Karim; Liu, Gaku; Pak, Igor; Temkin, Michael
Published in: Issue 1, 2018
Publisher: preprint

New irrational polygons with Ehrhart-theoretic period collapse

Author(s): Le, Quang-Nhat
Published in: Issue 1, 2018
Publisher: preprint

Theorems of Carath\'eodory, Helly, and Tverberg without dimension

Author(s): Adiprasito, Karim; Bárány, Imre; Mustafa, Nabil H.; Terpai, Tamás
Published in: Issue 1, 2018
Publisher: preprint

Barycentric subdivisions of convex complexes are collapsible

Author(s): Adiprasito, Karim; Benedetti, Bruno
Published in: Issue 1, 2017
Publisher: preprint