BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Rainer Dietmann (Royal Holloway\, University of London)
DTSTART:20200506T131000Z
DTEND:20200506T141000Z
DTSTAMP:20260423T005840Z
UID:TAUFA/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TAUFA/4/">En
 umerative Galois theory for cubics and quartics</a>\nby Rainer Dietmann (R
 oyal Holloway\, University of London) as part of Tel Aviv field arithmetic
  seminar\n\n\nAbstract\nThis is joint work with Sam Chow. We consider moni
 c quartic polynomials with integer coefficients and growing box height at 
 most H. In this setting\, we exactly determine the order of magnitude (fro
 m above and below) of such polynomials whose Galois group is D_4. Moreover
 \, we show that C_4 and V_4 polynomials are less frequent that D_4 ones\, 
 and that D_4\, C_4\, V_4 and A_4 polynomials are together less frequent th
 an reducible quartics. Similarly\, for integer monic cubic polynomials we 
 show that A_3 cubics are less frequent than reducible cubics. In particula
 r\, irreducible non-S_n polynomials are less numerous than reducible ones 
 for n = 3 and n = 4\, for the first time solving two cases (namely degree 
 three and four) of a conjecture by van der Waerden from 1936.\n
LOCATION:https://researchseminars.org/talk/TAUFA/4/
END:VEVENT
END:VCALENDAR