URegina Topology & Geometry Seminar: Allen Herman

  • Date: 09/20/2023
  • Time: 14:00
Allen Herman, University of Regina

University of Regina


Classical deformation theory of algebras


If A is an algebra over a field k, and R is an augmented commutative k-algebra, then an R-deformation of A is (intuitively) an R-algebra B whose underlying k-algebra structure is isomorphic to that of A. Two R-deformations of A are considered equivalent when there is an R-algebra isomorphism between the two that reduces to the expected isomorphism of their underlying k-algebra structures. In this talk we will see that in the cases R = k[[t]] (formal deformations) and R=k[t]/(t^2) (infinitesimal deformations), the equivalence classes of R-deformations of A can be understood using tools from Hochschild cohomology.

Other Information: 

Location: CL 305 & Zoom. Join meeting

Time: 2pm Central/ 1pm Pacific