Seminário de Álgebra e Topologia 

We present certain twisted wreath constructions in equivariant cohomology, modifying some constructions by L. Evans. We use these constructions to answer classical questions in representation theory and present new multiplicative transfers in cohomology that compute Chern classes of induced representations and induced vector bundles.

The symmetric topos $boldmathM(ℰ)$ arose as the classifier of the Lawvere distributions on a topos $ℰ$ and resulted in a unification of ideas in various fields in mathematics.

1. The algebraic construction of the symmetric algebra is done without using tensor products and provides an alternative to the usual construction in Algebra.
2. Mediating support there is a connection between the symmetric topos of a topos of sheaves on a locale $X$ and the topos of sheaves on the lower power locale of $X$, of interest in Theoretical Computer Science.
3. The association of the symmetric topos is part of a Kock-Z