CORDIS · 101053085 · HORIZON

HPDR Holomorphic Partial Differential Relations

Coordinator: UNIVERZA V LJUBLJANI (SI)

The aim is to develop an emerging field of complex analysis and geometry focused on holomorphic partial differential relations (HPDR). Such a relation of order r is given by a subset of the manifold of r-jets of holomorphic maps between a pair of complex manifolds, and the main question is when does a formal solution lead to an honest analytic solution. This complex analogue of Gromov’s h-principle is highly important but poorly understood. The project will focus on the following problems.(A) Oka theory concerns the existence and approximation of holomorphic maps from Stein manifolds to compl…

EU contribution
€1.5M
Total cost
€1.5M
Period
2023-01-01 → 2027-12-31
Framework
Horizon Europe (2021–2027)
Funding scheme
HORIZON-ERC
Call
ERC-2021-ADG
Status
SIGNED

About Horizon Europe (2021–2027)

Horizon Europe is the EU's current research and innovation programme, covering 2021 to 2027 with a budget of roughly €95.5 billion. Its three pillars are Excellent Science (frontier research and mobility), Global Challenges and European Industrial Competitiveness (mission-driven collaborative projects in health, climate, digital, security and food) and Innovative Europe (the EIC and EIT). It also funds five EU Missions targeting cancer, climate adaptation, smart cities, oceans and soils.

EU contribution: €1.5M awarded to the consortium. The project runs over approximately 5 years from 2023-01-01 to 2027-12-31.

Full record on CORDIS — partners, deliverables, publications, news.

Open on cordis.europa.eu → Grant DOI ↗

Frequently asked questions

Who funds this research project?
This project is funded by the European Union through the Horizon Europe (2021–2027) programme, under the HORIZON-ERC funding scheme.
What is the EU contribution?
The European Commission contributes €1.5M toward a total project budget of €1.5M.
Which EU programme funds it?
The project is funded under Horizon Europe (2021–2027), call ERC-2021-ADG.
Who coordinates the project?
The project is coordinated by UNIVERZA V LJUBLJANI (SI).
What is the project timeline?
The project runs from 2023-01-01 to 2027-12-31 — approximately 5 years.
Where can I find the full project record?
The complete record — partners, deliverables, publications and news — is published on CORDIS under project ID 101053085.