BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.5.8//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news1937@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20251029T091751 DTSTART;TZID=Europe/Zurich:20251211T141500 SUMMARY:Number Theory Seminar: Shaoshi Chen (Academy of Mathematics and Sys tems Science\, Chinese Academy of Sciences) DESCRIPTION:Arithmetic Dynamics around Linear Differential Equations\\r\\nA bstract: We will talk about two types of dynamical systems coming from lin ear differential equations. The first dynamical system is defined by the c oefficient sequence of a linear differential equation. We present a Skolem -Mahler-Lech type theorem on this dynamical system. The second dynamical s ystem is defined by iterated integration of solutions of a linear differen tial equation. We present some stability results on the order of linear di fferential equations satisfied by the iterated integrals of these solution s.  X-ALT-DESC:

Arithmetic Dynamics around Linear Differential Equations

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Abstract: We will talk about two types of dynamical systems coming f rom linear differential equations. The first dynamical system is defined b y the coefficient sequence of a linear differential equation. We present a Skolem-Mahler-Lech type theorem on this dynamical system. The second dyna mical system is defined by iterated integration of solutions of a linear d ifferential equation. We present some stability results on the order of li near differential equations satisfied by the iterated integrals of these s olutions. \;

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