BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vassilis Dionyssis Moustakas (University of Crete) DTSTART:20251218T153000Z DTEND:20251218T163000Z DTSTAMP:20260423T021340Z UID:GANT/79 DESCRIPTION:Title: Fr om quasisymmetric functions to zeta functions through shuffle compatibilit y\nby Vassilis Dionyssis Moustakas (University of Crete) as part of Gr eek Algebra & Number Theory Seminar\n\n\nAbstract\nA permutation statistic $st$ is called shuffle compatible if\, for any two permutations $\\pi$ an d $\\sigma$ on disjoint sets of symbols\, its distribution over all shuffl es of $\\pi$ and $\\sigma$ depends only on $st(\\pi)$\, $st(\\sigma)$ and the lengths of $\\pi$ and $\\sigma$. It follows from Stanley’s work that the descent set constitutes the prototypical example of a shuffle-compati ble permutation statistic. Gessel and Zhuang formalized this notion by int roducing and studying the associated shuffle algebra. In this talk\, we ar e going to discuss a colored analogue of shuffle compatibility for colored permutation statistics and its connection with Poirier’s colored quasis ymmetric functions. Additionally\, we will present an application of color ed shuffle compatibility in computing Hadamard products of certain algebra ic zeta functions. This is based on joint work with Angela Carnevale and T obias Rossmann.\n LOCATION:https://researchseminars.org/talk/GANT/79/ END:VEVENT END:VCALENDAR