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{\Large Department of Mathematics, BGU}

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{\Huge Colloquium}\\[0.2\baselineskip]

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\textbf{On} \emph{Tuesday, January 14, 2020}
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\textbf{At} \emph{14:30 -- 15:30}
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\textbf{In} \emph{Math -101}

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{\large\scshape Michael Polyak 
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  (Technion)
}
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will talk about
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{\Large\bfseries Enumerative geometry and Lie (super)algebras\par}
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\textsc{Abstract:}
One of the classical enumerative problems in algebraic geometry is that of
counting of complex or real rational curves through a collection of points
in a toric variety.

We explain this counting procedure as a construction of certain cycles on
moduli of rigid tropical curves. Cycles on these moduli turn out to be
closely related to Lie algebras.

In particular, counting of both complex and real curves is related to the
quantum torus Lie algebra. More complicated counting invariants (the
so-called Gromov-Witten descendants) are similarly related to the
super-Lie structure on the quantum torus.

{[}No preliminary knowledge of tropical geometry or the quantum torus
algebra is expected.{]}








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