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2 526 (0,094s) •

Project

Model categories (GAP201/11/0528)

as homotopy locally presentable simplicial categories and to transfer  the classical theory of locally presentable categories to the homotopy setting. This should be based on the analysis of homotopy limits and co...

BA - Obecná matematika

  • 2011 - 2014
    • •
  • 2 382 tis. Kč
    • •
  • 2 382 tis. Kč
    • •
  • GA ČR
Project

Zobecněné operády (GP13-27340P)

a theory of Feynman transform and of homotopy transfer. We work in the monad formalism as the new examples. We explore how general the notion can be to retain good homotopy......

BA - Obecná matematika

  • 2013 - 2017
    • •
  • 660 tis. Kč
    • •
  • 660 tis. Kč
    • •
  • GA ČR
Project

Homotopy invariant structures in algebra (IAA1019203)

The theory of homotopy invariant structures in topology was developed by M "Homotopy algebras are homotopy algebras". Some of the methods of the paper have already) to prove that strongly homotopy algebras from a c...

BA - Obecná matematika

  • 2002 - 2003
    • •
  • 403 tis. Kč
    • •
  • 137 tis. Kč
    • •
  • AV ČR
Project

Higher homotopy structures (IAA1019804)

The aim of the project is to apply a homological characterization of homotopy algebras to the study of homotopy structures in algebra and mathematical physics. More complex, construct a strongly homotopy Lie structure on th...

BA - Obecná matematika

  • 1998 - 1999
    • •
  • 540 tis. Kč
    • •
  • 116 tis. Kč
    • •
  • AV ČR
Project

Homotopy and Homology Methods and Tools Related to Mathematical Physics (GX19-28628X)

This is a project in pure Mathematics driven by needs of Mathematical Physics and leading to applications on both sides. Homology and Homotopy are the key concepts for generalized operads, minimal models for quantum homotopy algebra...

Pure mathematics

  • 2019 - 2023
    • •
  • 43 058 tis. Kč
    • •
  • 43 058 tis. Kč
    • •
  • GA ČR
Project

Homotopically invariant algebraic structures (ME 603)

The project is focused on applications of the methods of homotopy invariant algebraic structures in mathematical physics, , ,...

BA - Obecná matematika

  • 2002 - 2005
    • •
  • 996 tis. Kč
    • •
  • 327 tis. Kč
    • •
  • MŠMT
Project

Enriched categories and their applications (GA22-02964S)

The project focuses on applications of enriched category theory to homotopical and higher-dimensional structures, to algebra, theoretical computer science and functional analysis. Using enriched homotopy theory and the framework of infinity-...

Pure mathematics

  • 2022 - 2024
    • •
  • 8 408 tis. Kč
    • •
  • 8 394 tis. Kč
    • •
  • GA ČR
Project

Algebraic methods in topology and geometry (GA201/05/2117)

The project aims at bringing together mathematicians working in diverse but closely related fields (algebra, topology, differential geometry), thus reflecting the synthesis which takes place in modern mathematics. More specifically, we propose: 1) St...

BA - Obecná matematika

  • 2005 - 2007
    • •
  • 2 874 tis. Kč
    • •
  • 2 874 tis. Kč
    • •
  • GA ČR
Project

Braided differential geometry and homotopy algebras (GN24-11324I)

The project aims for a deeper understanding of quantum differential geometry in the presence of a quasitriangular Hopf algebra symmetry. With the induced braided structure available, we will aim to develop classical and quantum field theory on such q...

Pure mathematics

  • 2024 - 2027
    • •
  • 4 023 tis. Kč
    • •
  • 4 023 tis. Kč
    • •
  • GA ČR
Project

Cohen-Macaulay rings and their applications in higher algebra and topology (GJ20-02760Y)

homotopy fiber. The second project aims to develop the new notion of a maximal Cohen theory to homotopy theory and derived noncommutative algebra.......

Pure mathematics

  • 2020 - 2023
    • •
  • 8 879 tis. Kč
    • •
  • 8 879 tis. Kč
    • •
  • GA ČR
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