Séminaire Géométries ICJ

Motivic theories for orbifolds

par Mahn Toan Nguyen

Europe/Paris
Salle 112 (ICJ)

Salle 112

ICJ

1er étage bâtiment Braconnier, Université Claude Bernard Lyon 1 - La Doua
Description
In this talk, I will discuss about new algebraic invariants for algebraic orbifolds: orbifold motivic cohomology and orbifold higher K-theory. These invariants come out as a consequence of the obstruction bundles and the virtual fundamental classes in Gromov-Witten theory. I will also explain how these invariants relate to motivic cohomology and K-theory of (crepant) resolutions of singularities of the coarse moduli spaces of orbifolds. This is a joint work with Lie Fu.