BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lewis Combes (University of Sheffield) DTSTART:20240515T150000Z DTEND:20240515T160000Z DTSTAMP:20260418T065037Z UID:LNTS/128 DESCRIPTION:Title: P eriod polynomials of Bianchi modular forms\nby Lewis Combes (Universit y of Sheffield) as part of London number theory seminar\n\nLecture held in Room K0.18 King's Building\, King's College London (Strand Campus).\n\nAb stract\nBianchi modular forms (i.e. automorphic forms over imaginary quadr atic fields) share many similarities with their classical cousins. One suc h similarity is the period polynomial\, studied for classical modular form s by Manin\, Kohnen and Zagier\, as well as many others. In this talk we d efine period polynomials of Bianchi modular forms\, show how to compute th em in practice\, and use them to (conjecturally) extract information about congruences between Bianchi forms of various types (base-change and genui ne forms\; cusp forms and Eisenstein series). All of this is done through an example space of Bianchi forms\, from which we find new congruences mod ulo 43 and 173. Time permitting\, we will also describe some open problems relating to these methods\, and how these relate to the classical picture . No prior knowledge of Bianchi modular forms is assumed.\n LOCATION:https://researchseminars.org/talk/LNTS/128/ END:VEVENT END:VCALENDAR