Objective
Model theory deals with general classes of structures (called models).
Specific examples of such classes are: the class of rings or the class of
algebraically closed fields.
It turns out that counting the so-called complete types over models in the
class has an important role in the development of model theory in general and
stability theory in particular.
Stable classes are those with relatively few complete types (over structures
from the class); understanding stable classes has been central in model theory
and its applications.
Recently, I have proved a new dichotomy among the unstable classes:
Instead of counting all the complete types, they are counted up to conjugacy.
Classes which have few types up to conjugacy are proved to be so-called
``dependent'' classes (which have also been called NIP classes).
I have developed (under reasonable restrictions) a ``recounting theorem'',
parallel to the basic theorems of stability theory.
I have started to develop some of the basic properties of this new approach.
The goal of the current project is to develop systematically the theory of
dependent classes. The above mentioned results give strong indication that this
new theory can be eventually as useful as the (by now the classical) stability
theory. In particular, it covers many well known classes which stability theory
cannot treat.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2013-ADG
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
91904 JERUSALEM
Israel
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.