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UID:news1859@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250408T151512
DTSTART;TZID=Europe/Zurich:20250414T121500
SUMMARY:Bernoullis Tafelrunde: Federico Accossato (Turin)
DESCRIPTION:The existence of transcendental numbers was probably first conj
 ectured by Euler in the 18th century\, but it was Liouville who\, in 1844\
 , provided the first explicit example of such numbers. Since then\, brilli
 ant mathematicians have developed numerous methods either to establish the
  transcendence of famous mathematical constants\, most notably $\\pi$ and 
 $e$\, or to construct new transcendental numbers from scratch. In particul
 ar\, continued fractions have emerged as a powerful tool for this latter p
 urpose.\\r\\nIn this talk\, after recalling some fascinating properties of
  continued fractions and their deep connections to Diophantine Approximati
 on\, we will highlight how they have been used to construct explicit examp
 les of transcendental numbers. Time permitting\, we will also touch upon r
 ecent advances in the generalization of these techniques to multidimension
 al continued fractions. Such results are a joint work with Nadir Murru and
  Giuliano Romeo.\\r\\nabstract [t3://file?uid=3879]
X-ALT-DESC:<p>The existence of transcendental numbers was probably first co
 njectured by Euler in the 18th century\, but it was Liouville who\, in 184
 4\, provided the first explicit example of such numbers. Since then\, bril
 liant mathematicians have developed numerous methods either to establish t
 he transcendence of famous mathematical constants\, most notably $\\pi$ an
 d $e$\, or to construct new transcendental numbers from scratch. In partic
 ular\, continued fractions have emerged as a powerful tool for this latter
  purpose.</p>\n<p>In this talk\, after recalling some fascinating properti
 es of continued fractions and their deep connections to Diophantine Approx
 imation\, we will highlight how they have been used to construct explicit 
 examples of transcendental numbers. Time permitting\, we will also touch u
 pon recent advances in the generalization of these techniques to multidime
 nsional continued fractions. Such results are a joint work with Nadir Murr
 u and Giuliano Romeo.</p>\n<p><a href="t3://file?uid=3879">abstract</a></p
 >
DTEND;TZID=Europe/Zurich:20250414T130000
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