Event Title:

Dialgebra Cohomology as a g-algebra

Speaker:

Dr.Anita Majumdar

Affiliation:

Department of Mathematics
Indian Institute of Science
Bangalore - 560 012

Abstract/Brief Description:

G-algebras arose in M.Gerstenhaber’s work when he showed that the Hochschild cohomology of an associative algebra has the natural structure of a G-algebra, Later, F.Cohen showed that an algebra over the homology little discs operad is nothing but a G-algebra. Later, Deligne’s conjecture was proved: ‘the Hochschild cochain complex has the natural structure of an algebra over a chain operad of the little discs operad’, in other words, ‘it has a natural structure of homotopy G-algebra’. Drawing resemblance to Hochschild cohomology,  we show that the disalgebra cohomology admits a G-algebra structure, which is induced by ahomotopy G-algebra structure on the cochain level.

Subject Area:

Mathematics

Date:

Friday November5, 2004

Time:

4:00 PM

Venue:

Lecture Hall - I, Dept. of Mathematics, IISc.