**abstract:**
In his 1995 talk at Santa Cruz, J.-P. Demailly discussed compactified quotient
jet spaces due originally to J. G. Semple and others. These correspond
to certain closed subspaces of the iterated space of lines in the
tangent bundle of a complex manifold: $X$, $\mathbb P(\Omega1_{{X\mathbb}* C})$,
$\mathbb P(\Omega1 _{{\mathbb} P(\Omega1_{{X}*\mathbb C})

*I tried to generalize the Semple-Demailly jet spaces to arbitrary
characteristic, but was not successful. Instead, though, I have found
another definition of jet space, isomorphic to the Semple-Demailly spaces
away from the ``vertical'' part, but which is generally nonisomorphic
for 3-jets and higher. This definition will be discussed.*

Tue 14 Jun, 10:00 - 11:00, Sala Conferenze Centro De Giorgi

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