BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Adam Keilthy (University of Oxford) DTSTART:20200629T111500Z DTEND:20200629T121500Z DTSTAMP:20260423T022923Z UID:WarsawNT/5 DESCRIPTION:Title: The block filtration and motivic multiple zeta values\nby Adam Keilth y (University of Oxford) as part of Warsaw Number Theory Seminar\n\nLectur e held in room 403 at IMPAN.\n\nAbstract\nMultiple zeta values are a class of transcendental numbers\, going back to Euler in the 1700s\nand with ti es to the Riemann zeta function. They are found arising naturally in many areas of mathematics and physics\, from algebraic geometry to Feynman ampl itudes. Unlike in the case of single zeta values\, we know many algebraic relations satisfied by multiple zeta values: the double shuffle relations\ , the associator relations\, the confluence relations. However it is unkno wn if any of these sets of relations are complete. Assuming Grothendieck's period conjecture\, a complete set of algebraic relations are given by th e motivic relations\, arising from a connection to P^1 minus three points. However these relations are inexplicit.\n\nIn this talk\, we introduce a new filtration\, called the block filtration\, on the space of multiple ze ta values. By considering the associated graded\, we describe several new families of motivic relations\, that provide a complete description of rel ations in low block degree. A generalisation of these results would thus p rovide a complete description of relations among multiple zeta values and aid in settling several open problems about the motivic Galois group of mi xed Tate motives.\n LOCATION:https://researchseminars.org/talk/WarsawNT/5/ END:VEVENT END:VCALENDAR