Bernardo Villarreal Herrera
University of British Columbia

Wed 10 Feb 2016, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)

Cosimplicial groups and spaces of homomorphisms

ESB 4133 (PIMS Lounge)
Wed 10 Feb 2016, 3:15pm4:15pm
Abstract
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 "Einfinityringspace" structure.
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