2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64372Twisted K-theory has received much attention recently in both mathematics and physics. We describe some models of twisted K-theory, both topological and geometric. Then we state a theorem which relates representations of loop groups to twisted equivariant K-theory. This is joint work with Michael Hopkins and Constantin Teleman.12 pages, ICM talk, assertion about ring structure fixedAlgebraic TopologyHigh Energy Physics - TheoryRepresentation Theorytext