Motivic algebraic topology

• Applicant: Professor Dr. Fabien Morel, since 4/2022
• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 443705831

This project deals with motivic homotopy theory; this is a field seeking to apply methods from algebraic topology to algebraic geometry. We aim to solve several problems in both unstable and stable motivic homotopy theory.Naturally much of our focus is on homotopy sheaves of algebraic varieties; we will study their relationship with A^1-homology sheaves, cellular A^1-homology, stable homotopy sheaves, and also their bearing on the algebraic geometry of the variety. We will also pursue new computations of cellular A^1-homology and prove a cancellation theorem for higher correspondence categories.

• DFG Programme: Research Grants
• International Connection: India
• Partner Organisation: Department of Science and Technology (DST)
• Cooperation Partners: Professor Dr. Amit Hogadi; Anand Sawant, Ph.D.
• Ehemaliger Antragsteller: Professor Dr. Tom Bachmann, until 3/2022