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UNIVERSITY OF CALIFORNIA, SANTA BARBARA BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
 

Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
BERKELEY DAVIS IRVINE LOS ANGELES MERCED RIVERSIDE SAN DIEGO SAN FRANCISCO
CSANTA BARBARA SANTA CRUZ
Geometry, Topology, and Physics Seminar
The Sarkisov program
James McKernan
UCSB
Friday, June 1, 2007, 4:00 p.m.
Room 6635 South Hall
Note Unusual Time
Abstract: The conjectural output of the minimal model program is either a minimal
model or a Mori fibre space. Unfortunately the output in neither case is unique.
Kawamata has recently shown that any two minimal models are connected by
a sequence of flops. The Sarkisov program aims to factorise any birational map
between two Mori fibre spaces into a sequence of elementary links. In the case of
surfaces, an elementary transformation of P1
-bundles is an example of such a link,
and the Sarkisov program provides a natural framework to prove that the birational
automorphism group of P2
is generated by a Cremona transformation and PGL(3).

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics