BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Sabre//Sabre VObject 4.5.8//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:Europe/Zurich
X-LIC-LOCATION:Europe/Zurich
TZURL:http://tzurl.org/zoneinfo/Europe/Zurich
BEGIN:DAYLIGHT
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
DTSTART:19810329T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
DTSTART:19961027T030000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
UID:news1790@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250417T181133
DTSTART;TZID=Europe/Zurich:20250424T141500
SUMMARY:Number Theory Seminar: Rosa Winter	(UniDistance Suisse)
DESCRIPTION:Title: Many rational points on del Pezzo surfaces of low degre
 e\\r\\nAbstract: Let $X$ be an algebraic variety over a number field $k$. 
 In arithmetic geometry we are interested in the set $X(k)$ of $k$-rational
  points on $X$. Questions one might ask are\, is $X(k)$ empty or not? And 
 if it is not empty\, how `large' is $X(k)$? Del Pezzo surfaces are surface
 s classified by their degree~$d$\, which is an integer between 1 and 9 (fo
 r $d\\geq3$\, these are the smooth surfaces of degree $d$ in $\\mathbb{P}^
 d$). The lower the degree\, the more complex del Pezzo surfaces are. I wil
 l give an overview of different notions of `many' rational points\, and go
  over several results for rational points on del Pezzo surfaces of degree 
 1 and 2. I will then focus on work in progress joint with Julian Demeio an
 d Sam Streeter on the so-called \\textsl{Hilbert property} for del Pezzo s
 urfaces of degree 1.\\r\\nSpiegelgasse 5\, Seminarraum 05.002
X-ALT-DESC:<p>Title:&nbsp\;Many rational points on del Pezzo surfaces of lo
 w degree</p>\n<p>Abstract: Let $X$ be an algebraic variety over a number f
 ield $k$. In arithmetic geometry we are interested in the set $X(k)$ of $k
 $-rational points on $X$. Questions one might ask are\, is $X(k)$ empty or
  not? And if it is not empty\, how `large' is $X(k)$? Del Pezzo surfaces a
 re surfaces classified by their degree~$d$\, which is an integer between 1
  and 9 (for $d\\geq3$\, these are the smooth surfaces of degree $d$ in $\\
 mathbb{P}^d$). The lower the degree\, the more complex del Pezzo surfaces 
 are. I will give an overview of different notions of `many' rational point
 s\, and go over several results for rational points on del Pezzo surfaces 
 of degree 1 and 2. I will then focus on work in progress joint with Julian
  Demeio and Sam Streeter on the so-called \\textsl{Hilbert property} for d
 el Pezzo surfaces of degree 1.</p>\n<p>Spiegelgasse 5\, Seminarraum 05.002
 </p>
DTEND;TZID=Europe/Zurich:20250424T151500
END:VEVENT
END:VCALENDAR