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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240607T130000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-122
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:Speaker: Keira Gunn\, University of Calgary\n\n_\"Some Problem
 s on the Dynamics of Positive Characteristic Tori.\"_\n\nThe real (or char
 acteristic zero) torus is simply R/Z\, or the \"decimal\npart\" of any rea
 l number with operations of addition and integer\nmultiplication.  With t
 he positive characteristic integers defined to\nbe polynomials with coeffi
 cients from a finite field\, and the positive\ncharacteristic reals their 
 Laurent series counterparts\, we can\nsimilarly construct the positive cha
 racteristic tori (each torus\ndependent on the choice of field).  At firs
 t glance there are many\nsimilarities to how operations work in both posit
 ive and zero\ncharacteristic\, but these similarities break down quickly u
 pon further\ninspection\, particularly from a view of dynamics on the tori
 .\n\nIn this talk\, we will discuss results on some orbital sets and\ndyna
 mics formulae on the positive characteristic tori\, including the\nArtin-M
 azur zeta function and analogous hypothesis for Furstenberg's\nOrbital The
 orem.\n\nMC5403
DTSTAMP:20260512T220531Z
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