# Jerusalem Mathematics Colloquium

Thursday, 12th January 2006, 4:00 pm

Mathematics Building, Lecture Hall 2

##

David Lehavi

(Princeton University)

"A_6 is of general type"

** Abstract: **
We construct new effective geometric divisors on the moduli spaces
A_g of principally polarized complex abelian varieties. For
g >= 5 we obtain a divisor of slope smaller than the currently
known minimum. This in particular allows us to prove that A_g is
of general type for g >= 6, thus settling the case of the Kodaira
dimension of A_6 --- since the 1980s the only dimension for
which it has been unknown.

This is joint work with S. Grushevsky.

Light refreshments will be served in the faculty lounge at 3:30.

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