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SUMMARY:Travis Mandel (Oklahoma)
DTSTART:20210505T140000Z
DTEND:20210505T150000Z
DTSTAMP:20260423T005757Z
UID:notts_ag/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/56/
 ">Quantum theta bases for quantum cluster algebras</a>\nby Travis Mandel (
 Oklahoma) as part of Online Nottingham algebraic geometry seminar\n\n\nAbs
 tract\nOne of the central goals in the study of cluster algebras is to bet
 ter understand various canonical bases and positivity properties of the cl
 uster algebras and their quantizations. Gross-Hacking-Keel-Kontsevich (GHK
 K) applied ideas from mirror symmetry to construct so-called "theta bases"
  for cluster algebras which satisfy all the desired positivity properties\
 , thus proving several conjectures regarding cluster algebras. I will disc
 uss joint work with Ben Davison in which we combine the techniques used by
  GHKK with ideas from the DT theory of quiver representations to quantize 
 the GHKK construction\, thus producing quantum theta bases and proving the
  desired quantum positivity properties.\n
LOCATION:https://researchseminars.org/talk/notts_ag/56/
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