BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Eleftherios Chatzitheodoridis (VCU)
DTSTART:20260904T170000Z
DTEND:20260904T175000Z
DTSTAMP:20260919T094950Z
UID:vcugeomandtop/159
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/vcugeomandto
 p/159/">Betti numbers of nilmanifolds associated with path graphs</a>\nby 
 Eleftherios Chatzitheodoridis (VCU) as part of VCU Geometry and Topology S
 eminar\n\nLecture held in Harris Hall 4145.\n\nAbstract\nGiven a finite gr
 aph G\, Dani and Mainkar associate with it a two-step nilpotent Lie algebr
 a L(G)\, as well as a compact nilmanifold N(G). By a theorem of Nomizu\, t
 he de Rham cohomology of N(G) is isomorphic to the Lie algebra cohomology 
 of L(G). In joint work with Marco Aldi\, Samuel Bevins\, Sergio Da Silva\,
  Quincy Frias\, and Tomás Mejía Gómez\, we use Lie-algebraic methods to
  calculate the Betti numbers of all Dani-Mainkar nilmanifolds associated w
 ith path graphs. To assist with our computations\, we develop a graphical 
 calculus for the Chevalley-Eilenberg complex of the Lie algebra associated
  with any path graph.\n
LOCATION:https://researchseminars.org/talk/vcugeomandtop/159/
END:VEVENT
END:VCALENDAR