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UID:news1916@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20251012T193333
DTSTART;TZID=Europe/Zurich:20251118T103000
SUMMARY:Seminar Algebra and Geometry: Elvira Pérez Callejo (Universidad de
  Valladolid)
DESCRIPTION:In this talk\, we present an algorithmic criterion for determin
 ing when\, if the foliation is given by polynomials\, it admits a polynom
 ial first integral whose associated algebraic curve has genus $g\\neq 1$.
  We explore the restrictions that arise when considering a rational first
  integral that is not necessarily polynomial\, how the algorithm works in
  practice\, and some illustrative examples.\\r\\nThis talk is based on joi
 nt work with Carlos Galindo and Francisco Monserrat.
X-ALT-DESC:<p>In this talk\, we present an algorithmic criterion for determ
 ining when\, if the foliation is given by polynomials\, it admits a&nbsp\;
 polynomial&nbsp\;first integral whose associated algebraic curve has genus
  $g\\neq 1$. We explore the restrictions that arise when considering a rat
 ional&nbsp\;first&nbsp\;integral that is not necessarily polynomial\, how 
 the algorithm works in practice\, and some illustrative examples.</p>\n<p>
 This talk is based on joint work with Carlos Galindo and Francisco Monserr
 at.</p>
DTEND;TZID=Europe/Zurich:20251118T120000
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