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SUMMARY:Nicholas Ramsey (University of Notre Dame)
DTSTART:20231214T190000Z
DTEND:20231214T200000Z
DTSTAMP:20260423T052836Z
UID:OLS/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/139/">Mo
 del theory and the Lazard Correspondence</a>\nby Nicholas Ramsey (Universi
 ty of Notre Dame) as part of Online logic seminar\n\n\nAbstract\nThe Lazar
 d Correspondence is a characteristic $p$ analogue of the correspondence be
 tween nilpotent Lie groups and Lie algebras\, associating to every nilpote
 nt group of exponent $p$ and nilpotence class $c$ a Lie algebra over $F_p$
  with the same nilpotence class (assuming $c < p$). We will describe the r
 ole that this translation between nilpotent group theory and linear algebr
 a has played in an emerging program to understand the first order properti
 es of random nilpotent groups.  In this talk\, we will focus on connection
 s to neostability theory\, highlighting the way that nilpotent groups furn
 ish natural algebraic structures in surprising parts of the SOP$_n$ and $n
 $-dependence hierarchies.  This is joint work with Christian d'Elbée\, Is
 abel Müller\, and Daoud Siniora.\n
LOCATION:https://researchseminars.org/talk/OLS/139/
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