Invariants and Hochschild cohomology of rings of differential operators in one variable
 
 
Description: 

A polynomial h in the variable x determines the derivation h(d/dx) of the polynomial ring F[x] and, together with the multiplication by x operator, it generates a noncommutative algebra A_h whose elements can be written as differential operators on h(d/dx) with coefficients in F[x]. I will talk about some features of this algebra related to invariants under groups of automorphisms, derivations and the structure of the Hochschild cohomology Lie algebra of A_h, both in prime and zero characteristics. I will then explain how the complete Hochschild cohomology can be determined using the twisted Calabi-Yau property relative to a suitable 'Nakayama' automorphism.

This is joint work with G. Benkart and M. Ondrus.

Date:  2016-05-04
Start Time:   15:00
Speaker:  Samuel Lopes (Univ. Porto)
Institution:  Universidade do Porto
Research Groups: -Algebra and Combinatorics
See more:   <Main>  
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support