Évènement

Date(s) : 18/09/2023   iCal
10h00 - 11h00

In this talk, we explain our results on classification of gapped ground states of 1+1 dim interacting Fermion systems. In case of non-interacting Fermion systems with translation symmetry, the ground states are in one to one correspondence with projection matrix valued functions on a torus (or equivalently vector bundles on a torus) and are classified by K theory. For the interacting case, no geometric correspondence is yet known, nevertheless, for 1+1 dimensional systems, using C*-operator algebraic methods, we obtain an invariant, so called « String Order » of classification of gapped ground states.

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Séminaire Analyse et Géométrie

Emplacement
I2M Chateau-Gombert - CMI, Salle de Séminaire R164 (1er étage)

Catégories

• Séminaire