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SUMMARY:Simone Warzel: From Haldane Pseudopotentials to Matrix Product Sta
 tes: Mathematical Structures in the Fractional Quantum Hall Effect
DTSTART:20260619T073000Z
DTEND:20260619T100000Z
DTSTAMP:20260616T092900Z
UID:indico-event-16838@indico.math.cnrs.fr
DESCRIPTION:Speakers: Simone Warzel\n\nThe fractional quantum Hall effect 
 provides one of the most striking examples of a strongly correlated quantu
 m phase of matter. Ever since Laughlin’s proposal\, the correlation stru
 cture inherent in fractional quantum Hall wavefunctions and their relation
  to the Coulomb gas have been of continued interest. One way to grasp this
  structure is through an infinite-matrix-product (iMPS) description of suc
 h wavefunctions in terms of correlators of a chiral quantum field theory. 
 This connects quantum Hall physics with the tensor-network methods that ha
 ve become central in modern condensed matter theory.\nI will discuss recen
 t mathematical advances concerning the proofs of the exponential clusterin
 g and a gap in the entanglement spectrum in a thin cylinder geometry emerg
 ing from the iMPS description. I will also review the Haldane pseudopotent
 ial framework\, which identifies model Hamiltonians whose exact zero-energ
 y ground states are the iMPS\, and give an overview of known results and o
 pen problems.\n(The talk is based on joint works with Severin Schraven\, B
 runo Nachtergaele\, Marius Lemm\, and Amanda Young)\n\nhttps://indico.math
 .cnrs.fr/event/16838/
LOCATION:M7-411 (ENS Lyon)
URL:https://indico.math.cnrs.fr/event/16838/
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