BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Min Lee DTSTART:20210310T160000Z DTEND:20210310T170000Z DTSTAMP:20260418T063712Z UID:LNTS/32 DESCRIPTION:Title: Li nnik problem for Maass-Hecke cusp forms and effective multiplicity one the orem\nby Min Lee as part of London number theory seminar\n\n\nAbstract \nThe strong multiplicity one theorem (for GL(2)\, proved by Jacquet and L anglands) implies that if two Maass-Hecke cuspforms share the same Laplaci an eigenvalue and the same Hecke eigenvalues for almost all primes then th e two forms must be equal up to a constant multiple. In this talk we cons ider the following question\, an analogue of Linnik’s question for Diric hlet characters: if the two forms are not equal up to a constant multiple\ , how large can the first prime p be\, such that the corresponding Hecke e igenvalues differ? Alternatively we can also ask: how large is the dimensi on of the joint eigenspace of the given finite set of Hecke operators and the Laplace operator? We approach these two questions with two different m ethods. This is a joint work with Junehyuk Jung.\n LOCATION:https://researchseminars.org/talk/LNTS/32/ END:VEVENT END:VCALENDAR