BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Khalef Yaddaden (Nagoya University) DTSTART:20250314T140000Z DTEND:20250314T150000Z DTSTAMP:20260423T004514Z UID:ACPMS/49 DESCRIPTION:Title: S chemes of double shuffle and distribution relations among cyclotomic multi ple zeta values\nby Khalef Yaddaden (Nagoya University) as part of Alg ebraic and Combinatorial Perspectives in the Mathematical Sciences\n\n\nAb stract\nWe are interested in two formal approaches reflecting the combinat orial properties of double shuffle relations between cyclotomic multiple z eta values of level \\(N \\ge 1\\). The first approach\, introduced by Rac inet\, considers cyclotomic multiple zeta values from the perspective of t he Drinfeld associator and provides a description based on Hopf algebra co products\, which he encodes in a scheme DMR(N). The second\, studied by Ho ffmann\, Ihara-Kaneko-Zagier (\\(N=1\\))\, Arakawa-Kaneko and Zhao (\\(N \ \ge 1\\))\, describes these relations through algebra products that we enc ode in a scheme EDS(N). When \\(N > 1\\)\, the cyclotomic multiple zeta va lues of level N also satisfy distribution relations that Racinet incorpora tes into a subscheme DMRD(N) of DMR(N). In this presentation\, we establis h an isomorphism between the schemes DMR(N) and EDS(N)\, then introduce a subscheme EDSD(N) of EDS(N) that we identify with DMRD(N). This identifica tion enables us to prove a conjecture of Zhao stating that the weight 2 di stribution relations are a consequence of double shuffle relations as well as weight 1 and depth 2 distribution relations (this talk is based on a j oint work with Henrik Bachmann).\n LOCATION:https://researchseminars.org/talk/ACPMS/49/ END:VEVENT END:VCALENDAR