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UID:58dfa0df0ebda6eafb7b7652390787a4
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20210211T120645
SUMMARY:Graph q-series, graph schemes, and 4d/2d correspondences
LOCATION:zoom
DESCRIPTION:<p><span style="font-family: 'Times New Roman',serif; font-size: 12pt; mso-
 fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-farea
 st-language: EN-US; mso-bidi-language: AR-SA;"><strong>Abstract</strong></s
 pan><span style="font-family: 'Times New Roman',serif; font-size: 12pt; mso
 -fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fare
 ast-language: EN-US; mso-bidi-language: AR-SA;"> To any graph with n nodes 
 we associate two n-fold q-series, <br /> with single and double poles, clos
 ely related to Nahm's sum associated <br /> to a positive definite symmetri
 c bilinear form. <br /> <br /> Quite remarkably series with "double poles" 
 sometimes capture Schur's <br /> indices of 4d N = 2 superconformal field t
 heories (SCFTs) and thus, under <br /> 2d/4d correspondence, they give new 
 character formulas of certain <br /> vertex operator algebras. <br /> <br /
 > If poles are simple, they arise in algebraic geometry as Hilbert-Poincare
  <br /> series of "graph" arc algebras. These q-series are poorly understoo
 d <br /> and seem to exhibit peculiar modular transformation behavior. In t
 his talk, <br /> we explain how these "counting" functions arise in differe
 nt areas of <br /> mathematics and physics. <br /> <br /> This talk will be
  fairly accessible, assuming minimal background. No <br /> familiarity with
  concepts like vertex algebras and 4d N=2 SCFT is needed. </span></p>
CONTACT:Antun Milas, SUNY-Albany
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/93921465287\nMeeting ID: 939 2146 5287
 \nPasscode: 196884
DTSTAMP:20260830T080134
DTSTART;TZID=America/New_York:20210219T120000
DTEND;TZID=America/New_York:20210219T130000
SEQUENCE:0
TRANSP:OPAQUE
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