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SUMMARY:Mima Stanojkovski (University of Trento)
DTSTART:20240516T090000Z
DTEND:20240516T095000Z
DTSTAMP:20260416T215501Z
UID:GiG2024/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GiG2024/1/">
 Studying p-groups via their Pfaffians: isomorphism testing and the PORC co
 njecture</a>\nby Mima Stanojkovski (University of Trento) as part of Group
 s in Galway 2024\n\nLecture held in McMunn lecture theatre.\n\nAbstract\nG
 iven a field $K$\, to each alternating $n \\times n$ matrix of linear form
 s in $K[y_1\,\\dots \,y_d]$ one can associate a group scheme $\\mathrm{G}$
  over $K$. In particular\, when $K$ is the field of rationals and $F$ is t
 he field of $p$ elements\, the $F$-points $\\mathrm{G}(F)$ of $\\mathrm{G}
 $ form a group of order $p^{n+d}$ and so\, as $p$ varies\, one obtains an 
 infinite family of $p$-groups from $\\mathrm{G}$. In this talk\, I will pr
 esent joint work with Josh Maglione and Christopher Voll\, as well as ongo
 ing work with Eamonn O'Brien\, on the geometric study of automorphisms and
  isomorphism types of groups associated to small values of the parameters 
 $n$ and $d$. I will also explain the implications of our work in connectio
 n to claims made around Higman's famous PORC conjecture.\n
LOCATION:https://researchseminars.org/talk/GiG2024/1/
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