BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Adam Keilthy (Max-Planck-Institut für Mathematik) DTSTART:20210521T100000Z DTEND:20210521T110000Z DTSTAMP:20260423T040004Z UID:RSVP/12 DESCRIPTION:Title: Bl ock graded relations among motivic multiple zeta values\nby Adam Keilt hy (Max-Planck-Institut für Mathematik) as part of Rendez-vous on special values and periods\n\n\nAbstract\nMultiple zeta values\, originally consi dered by Euler\, generalise the Riemann zeta function to multiple variable s.\n\nWhile values of the Riemann zeta function at odd positive integers a re conjectured to be algebraically independent\, multiple zeta values sati sfy many algebraic and linear relations\, even forming a $\\mathbb{Q}$-alg ebra. While families of well understood relations are known\, such as the associator relations and double shuffle relations\, they only conjecturall y span all algebraic relations. Since multiple zeta values arise as the pe riods of mixed Tate motives\, we obtain further algebraic structures\, whi ch have been exploited to provide spanning sets by Brown. In this talk we will aim to define a new set of relations\, known to be complete in low bl ock degree.\n\nTo achieve this\, we will first review the necessary algebr aic set up\, focusing particularly on the motivic Lie algebra associated t o the thrice punctured projective line. We then introduce a new filtration on the algebra of (motivic) multiple zeta values\, called the block filtr ation\, based on the work of Charlton. By considering the associated grade d algebra\, we quickly obtain a new family of graded motivic relations\, w hich can be shown to span all algebraic relations in low block degree. We will also touch on some conjectural ungraded "lifts" of these relations\, and if we have time\, compare to similar approaches using the depth filtra tion.\n LOCATION:https://researchseminars.org/talk/RSVP/12/ END:VEVENT END:VCALENDAR