Algebraic Geometry Seminar: Brendan Hassett (Rice University)

  • Date: 04/11/2011
  • Time: 15:00
Lecturer(s):

Brendan Hassett, Rice University

Location: 

University of British Columbia

Topic: 

Birational geometry of holomorphic symplectic varieties

Description: 

We propose a general framework governing the intersection
properties of extremal rays of irreducible holomorphic
symplectic manifolds under the Beauville-Bogomolov form.
Our main thesis is that extremal rays associated to
Lagrangian projective subspaces control the behavior of
the cone of curves. We explore implications of this
philosophy for examples like Hilbert schemes of points
on K3 surfaces and generalized Kummer varieties. We also
present evidence supporting our conjectures in specific
cases. (joint with Y. Tschinkel)

Schedule: 

3:00pm-4:30pm, WMAX 110

Sponsor: 

pims