Hochschild homology and cohomology under study
Funded by the Marie Skłodowska-Curie Actions programme, the Hochschild project will combine methods from commutative algebra, representation theory and rational homotopy theory to improve understanding of Hochschild homology and cohomology. The study will focus on their deep interplay with the cotangent complex. A main project goal is to show that non-complete intersection rings exhibit exponential growth in their Hochschild homology. Results will be applied to Vigué-Poirrier’s conjecture on rationally hyperbolic spaces and to Gromov’s closed geodesic problem. The same novel methods will be used to shed light on the second conjecture of Quillen on the cotangent complex.
Fields of science
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Call for proposalSee other projects for this call
Funding SchemeMSCA-PF - MSCA-PF
See on map