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SUMMARY:Matthew Faust (Texas A&M University)
DTSTART:20230330T141500Z
DTEND:20230330T160000Z
DTSTAMP:20260422T065352Z
UID:CJCS/111
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/111/">O
 n Irreducibility of the Bloch Variety</a>\nby Matthew Faust (Texas A&M Uni
 versity) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\n\nAbstra
 ct\nGiven a ZZ^2 periodic graph G\, the Schrodinger operator associated to
  G is a graph Laplacian with a potential. After a Fourier transform we can
  represent our operator as a finite matrix whose entries are Laurent polyn
 omials. The vanishing set of this characteristic polynomial is the Bloch v
 ariety. Questions regarding the algebraic properties of this object are of
  interest in mathematical physics. We will focus our attention on the irre
 ducibility of this variety.  Understanding the irreducibility of the Bloch
  variety is important in the study of the spectrum of periodic operators\,
  providing insight into quantum ergodicity.   In this talk we will present
  results on preserving irreducibility of the Bloch variety after changing 
 the period lattice. This is joint work with Jordy Lopez.\n
LOCATION:https://researchseminars.org/talk/CJCS/111/
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