

Iskovskikh Seminar
March 31, 2011 18:00, Moscow, Steklov Mathematical Institute, room 540






Continuation of the talk "Symplectic birational transformations of a plane"
(following J. Blank's paper and Usnich's papers)
K. Khrabrov^{} ^{} Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract:
We will talk about the group of transformations of a projective plane
that preserves differential form $\frac {dx \wedge dy}{xyz}$
(symplectic group $Symp$). We will see that it is generated by
$SL(2,Z)$, torus, and a special element $P$ of order 5.
We will observe a subgroup of $Symp$ generated by $SL(2,Z)$ and $P$ and show one presentation of it.
Also we will try to look at combinatorics related to $Symp$.
Series of reports

