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DTSTART:20230312T070000
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-116
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:PETER OBERLY\, UNIVERSITY OF ROCHESTER\n\n\"SOME BOUNDS ON THE 
 ARAKELOV-ZHANG PAIRING\"\n\nThe Arakelov-Zhang pairing (also called the dy
 namical height pairing)\nis a kind of dynamical distance between two ratio
 nal maps defined over\na number field. This pairing has applications in ar
 ithmetic dynamics\,\nespecially as a tool to study the preperiodic points 
 common to two\nrational maps. We will discuss some bounds on the Arakelov-
 Zhang\npairing of f and g in terms of the coefficients of f and investigat
 e\nsome simple consequences of this result.   \n\nMC 5417
DTSTAMP:20260507T170714Z
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