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Equivariant cohomology and noncommutative symmetries (quantum groups)

GFM seminar
IIIUL, B2-01
2010-02-17 14:00 .. 15:00
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by Lucio Cirio (GFMUL, Universidade de Lisboa, Portugal)

In this talk I will present algebraic models for equivariant cohomology of quantum group (co)actions on noncommutative spaces. I will start by recalling basic fact of classical equivariant cohomology and discussing Weil and Cartan models for its definition. Then I will move to noncommutative geometry introducing some basic ideas we need from the theory of quantum groups. Finally I will focus on two different kind of deformations, Drinfeld twists and Drinfeld-Jimbo quantum enveloping algebras, discussing similarities and differences of their equivariant models.