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UID:news1994@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260310T153719
DTSTART;TZID=Europe/Zurich:20260312T121500
SUMMARY:Bernoullis Tafelrunde: Alessio Cangini (Universität Basel)
DESCRIPTION:Abstract [t3://file?uid=4145]\\r\\nArithmetic Dynamics studies 
 number-theoretic properties of algebraic numbers under iteration of a poly
 nomial or rational function. The ideas and techniques in this field draw f
 rom both complex dynamics and number theory. Central to this theory are th
 e notions of local and global canonical heights\, which are functions that
  measure the arithmetic complexity of orbits.\\r\\nIn this talk\, we will 
 first introduce the necessary background from complex dynamics. Then we wi
 ll discuss the key properties of canonical heights. Finally\, we will pres
 ent ongoing work on establishing lower bounds for the global canonical hei
 ght in cyclotomic extensions.
X-ALT-DESC:<p><a href="t3://file?uid=4145">Abstract</a></p>\n<p>Arithmetic 
 Dynamics studies number-theoretic properties of algebraic numbers under it
 eration of a polynomial or rational function. The ideas and techniques in 
 this field draw from both complex dynamics and number theory. Central to t
 his theory are the notions of local and global canonical heights\, which a
 re functions that measure the arithmetic complexity of orbits.</p>\n<p>In 
 this talk\, we will first introduce the necessary background from complex 
 dynamics. Then we will discuss the key properties of canonical heights. Fi
 nally\, we will present ongoing work on establishing lower bounds for the 
 global canonical height in cyclotomic extensions.</p>
DTEND;TZID=Europe/Zurich:20260312T130000
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