PIMS/UBC Math Faculty Award Colloquium: Ben Williams

  • Date: 10/12/2018
  • Time: 16:00
Lecturer(s):
Ben Williams, UBC Math
Location: 

University of British Columbia

Topic: 

The topology of Azumaya algebras

Description: 

Azumaya algebras over a commutative ring R are generalizations of central simple algebras over a field k, and both are "twisted matrix algebras". In this, they bear the same relationship to a noncommutative ring of matrices Mat_n(k) that a vector bundles (or projective modules) bear to vector spaces. That is, they are bundles of algebras. In this talk, I will show that thinking about Azumaya algebras from the algebraic-topological point of view, as bundles of algebras, is fruitful, both in producing examples of algebras with interesting properties, and in proving certain results about such algebras that are difficult to prove by direct, algebraic methods.

Other Information: 

Location: ESB 2012

 

Refreshments will be served in ESB 4133 from 3:45 pm-4:00 pm