ERC Starting Grant · 2024
Motivic Stable Homotopy Theory: a New Foundation and a Bridge to p-Adic and Complex Geometry
This project is centered on the field of algebraic geometry and involves homotopy theory and analytic geometry. The overall goal is to unveil the underlying principles of a large variety of cohomology theories in algebraic and analytic geometry and develop robust foundations that facilitate the study of those cohomology theories from the vantage point of homotopy theory. This will be achieved through innovations of motivic stable homotopy theory beyond the current technical limitations of A1-homotopy invariance. In addition, its interdisciplinary perspective will be advanced, especially in relation to p-adic geometry and complex geometry. The research proposal consists of 5 main objectives,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.