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SUMMARY:Eleftherios Chatzitheodoridis (VCU)
DTSTART:20260904T170000Z
DTEND:20260904T175000Z
DTSTAMP:20260827T112721Z
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\nInteractive livestream: https://vcu.zoom.us/j/96499775895?pwd=Q1
 IrcVlGdk1GRUt5TUdRdFZjWCtodz09\nLecture held in Harris Hall 4145.\n\nAbstr
 act\nGiven a finite graph G\, Dani and Mainkar associate with it a two-ste
 p nilpotent Lie algebra L(G)\, as well as a compact nilmanifold N(G). By a
  theorem of Nomizu\, the de Rham cohomology of N(G) is isomorphic to the L
 ie algebra cohomology of L(G). In joint work with Marco Aldi\, Samuel Bevi
 ns\, Sergio Da Silva\, Quincy Frias\, and Tomás Mejía Gómez\, we use Li
 e-algebraic methods to calculate the Betti numbers of all Dani-Mainkar nil
 manifolds associated with path graphs. To assist with our computations\, w
 e 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/
URL:https://vcu.zoom.us/j/96499775895?pwd=Q1IrcVlGdk1GRUt5TUdRdFZjWCtodz09
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