#### Alladi Ramakrishnan Hall

#### Equivariant Algebraic K-theory and Derived completion

#### Roy Joshua

*Derived completion is a technique that originated slightly over*

20 years ago.

However, Gunnar Carlsson may have been the first to realize the true

potential of this

technique, especially in the context of Algebraic K-theory. The goal of

this talk is to

discuss some applications of this technique, especially in the context of

our joint work

with Carlsson, to equivariant algebraic K-theory. For example, we prove a

form of the

Atiyah-Segal type completion theorem without any of the usual finiteness

hypotheses.

Done