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SUMMARY:Basic Notions Seminar - On a problem of Polya and some of its evol
 utions
DTSTART;VALUE=DATE-TIME:20261124T130000Z
DTEND;VALUE=DATE-TIME:20261124T143000Z
DTSTAMP;VALUE=DATE-TIME:20261108T030128Z
UID:indico-event-11570@ictp.it
DESCRIPTION:\n	Abstract:\n\n	Around 1921 Polya asked about the algebraic
 ity of the indefinite integral of an algebraic function\, in terms of the 
 integrality of the coefficients in a power-series expansion. Polya nicel
 y answered the special case of rational functions\, using Fermat's congrue
 nce. \n	Though the formulation was very simple\, the general case was sol
 ved only much later by transcendence techniques. \n\n	The question is als
 o linked with a simply stated well-known local-global conjecture of Grothe
 ndieck on linear differential equations over polynomial rings\, and with o
 ther number-theoretical issues. \n\n	We shall survey on the topic\, also 
 illustrating a novel question arising from a different possible approach t
 o Polya's issue\, and some answers given recently by Katz.\nZoom:\nRegist
 er in advance for this meeting:https://zoom.us/meeting/register/v_yges3rRP
 ilJ0LZ3wS8AA \nAfter registering\, you will receive a confirmation email 
 containing information about joining the meeting.\n\n//indico.ictp.it/even
 t/11570/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL://indico.ictp.it/event/11570/
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