Colloquium
3:00 p.m., Friday (November 3, 2006)
MATX 1100
Kalle Karu
UBC
Combinatorics of the blowupblowdown conjecture
The blowupblowdown conjecture asks if a birational map between algebraic varieties
can be factored into a sequence of elementary maps  blowups and blowdowns. In the case
of toric varieties the conjecture can be stated in a combinatorial form. The strong
version of this conjecture is still open in all dimensions above 2. In this talk I will
explain the algorithms that conjecturally solve the factorisation problem and discuss
the combinatorics involved.
Refreshments will be served at 2:45 p.m. (Lounge, MATX 1115).
