BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Johannes Sprang (Universität Duisburg-Essen) DTSTART:20211007T130000Z DTEND:20211007T140000Z DTSTAMP:20260423T005843Z UID:UCDANT/22 DESCRIPTION:Title: Algebraicity of critical Hecke L-values\nby Johannes Sprang (Universit ät Duisburg-Essen) as part of Dublin Algebra and Number Theory Seminar\n\ n\nAbstract\nIn 1735\, Euler discovered his well-known formula for the val ues of the Riemann zeta function at the positive even integers. In particu lar\, Euler's result shows that all these values are rational up to multip lication with a particular period\, here the period is a power of 2πi. Co njecturally this is expected to hold for all critical L-values of motives. In this talk\, we will focus on L-functions of number fields. In the firs t part of the talk\, we will discuss the 'critical' and 'non-critical' L-v alues exemplary for the Riemann zeta function. Afterwards\, we will head o n to more general number fields and explain a joint result with Guido Kin gs on the algebraicity of critical Hecke L-values for totally imaginary fi elds up to explicit periods.\n LOCATION:https://researchseminars.org/talk/UCDANT/22/ END:VEVENT END:VCALENDAR