Topology Seminar: Bernardo Villarreal Herrera

  • Date: 02/10/2016
  • Time: 15:15
Bernardo Villarreal Herrera, UBC

University of British Columbia


Cosimplicial groups and spaces of homomorphisms


In this talk I will give some relations between spaces of homomorphisms when the target group G is a real linear algebraic group, through homotopy stable decompositions of simplicial spaces. To obtain a simplicial space Hom(L,G) out of spaces of homomorphisms we think of L, a (suitable) family of finitely generated groups, as a cosimplicial group.

Also, if G=U, the colimit of the unitary groups U(m), I will show when the geometric realization of Hom(L,U) has an "E-infinity-ring-space" structure.

Other Information: 

Location: PIMS Lounge, ESB 4133