The structure and growth of Hochschild (co)homology

Project description

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

• natural sciences › mathematics › pure mathematics › algebra › commutative algebra
• natural sciences › mathematics › pure mathematics › topology

Programme(s)

• HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme

Topic(s)

• HORIZON-MSCA-2021-PF-01-01 - MSCA Postdoctoral Fellowships 2021

Call for proposal

HORIZON-MSCA-2021-PF-01

See other projects for this call

Funding Scheme

MSCA-PF - MSCA-PF

Coordinator

KOBENHAVNS UNIVERSITET

Net EU contribution

€ 214 934,40

Address

Norregade 10
1165 Kobenhavn
Denmark

Region

Danmark › Hovedstaden › Byen København

Activity type

Higher or Secondary Education Establishments

Links

Other funding

No data