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SUMMARY:Anna Barbieri (University of Milano Statale)
DTSTART:20210309T160000Z
DTEND:20210309T170000Z
DTSTAMP:20260423T021136Z
UID:OCAS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/25/">Fr
 om special functions to stability conditions</a>\nby Anna Barbieri (Univer
 sity of Milano Statale) as part of Online Cluster Algebra Seminar (OCAS)\n
 \n\nAbstract\nThe Gamma function studied by Bernoulli appear all over math
 ematics and in particular whenever we study special contour integrals. We 
 will review a class of special functions called Barnes multiple Gamma func
 tions that generalize the Gamma function and we will see how they appear i
 n the study of a class of Bridgeland stability conditions with a very simp
 le Donaldson-Thomas (DT) theory. This goes through solving a Riemann-Hilbe
 rt-Birkhoff boundary value problem induced by the wall-crossing formula fo
 r DT counting invariants\, and involving factors that look like cluster tr
 ansformations. Based on a joint work with T. Bridgeland and J. Stoppa.\n
LOCATION:https://researchseminars.org/talk/OCAS/25/
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