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SUMMARY:Topological classification of chiral and particle-hole symmetric i
 nsulators in low dimension
DTSTART:20251114T130000Z
DTEND:20251114T140000Z
DTSTAMP:20260424T220900Z
UID:indico-event-15398@indico.math.cnrs.fr
CONTACT:kellendonk@math.univ-lyon1.fr\;athomas@math.univ-lyon1.fr
DESCRIPTION:Speakers: Gabriele Peluso (Roma)\n\nMotivated by the study of
  periodic Hamiltonians enjoying chiral or particle-hole symmetry\, like t
 he SSH model or the Kitaev chain\, we present a topological study of fam
 ilies of symmetric functions from d-dimensional tori to the space of r
 ank-fixed projectors on a Hilbert space. Our approach is based on the dire
 ct calculation of fundamental groups and homotopy groups on spaces of 
 unitary matrices\, building on the existing classification of vector bun
 dles in reduced dimensions. The main results include a classification up 
 to unitary equivalences or homotopies for d=0\,1 or 2 for chiral or par
 ticle-hole symmetric projectors within separable Hilbert spaces of minim
 al or infinite dimension.\n\nhttps://indico.math.cnrs.fr/event/15398/
LOCATION:Fokko du Cloux (Bat. Braconnier)
URL:https://indico.math.cnrs.fr/event/15398/
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