Homological and model-theoretic methods in algebra and geometry
Public support
Provider
Czech Science Foundation
Programme
Standard projects
Call for proposals
SGA0202600001
Main participants
Univerzita Karlova / Matematicko-fyzikální fakulta
Contest type
VS - Public tender
Contract ID
26-22734S
Alternative language
Project name in Czech
Homological and model-theoretic methods in algebra and geometry
Annotation in Czech
The project focuses on the study of geometric objects of infinite-dimensional nature (formal schemes and ind-schemes) and abstracting the structural results and symmetries discovered to much more broadly applicable homological methods of infinite tilting theory. We also aim at systematically understanding the interaction between our homological algebra and mathematical logic, and especially the influence of the properties of the ambient set-theoretic universe. Finally, we plan to apply these novel methods to understand the internal structure (in terms of classification of subcategories) and the symmetries of classes of important triangulated categories in representation theory and algebraic geometry. Last but not least, the project aims at enhancing long-term and fruitful collaboration with several algebra centers both in and outside Europe, and at contributing to graduate education at MFF UK by opening modern interdisciplinary research directions to doctoral students.
Scientific branches
R&D category
ZV - Basic research
OECD FORD - main branch
10101 - Pure mathematics
OECD FORD - secondary branch
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OECD FORD - another secondary branch
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CEP - equivalent branches <br>(according to the <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">converter</a>)
BA - General mathematics
Solution timeline
Realization period - beginning
Jan 1, 2026
Realization period - end
Dec 31, 2028
Project status
Z - Beginning multi-year project
Latest support payment
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Data delivery to CEP
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data delivery code
CEP26-GA0-GA-R
Data delivery date
May 7, 2026
Finance
Total approved costs
15,627 thou. CZK
Public financial support
14,713 thou. CZK
Other public sources
914 thou. CZK
Non public and foreign sources
0 thou. CZK