Date: Monday, January 14, 2013
Location: 3096 East Hall (4:00 PM to 5:00 PM)
Title: On automorphisms of blowups of projective manifolds
Abstract: In the talk, I will give a heuristic argument to show that for a "generic" compact K\"ahler manifold of dimension at least 3, its automorphism group Aut(X) has only finitely many connected components. In particular, any automorphism of X has topological entropy zero. Some general criteria will be introduced, and many explicit examples will be given in the case X--->X_0 is a finite composition of blowups along smooth centers. Here the projective manifold X_0 can be either of Picard number 1, or have anti-ample canonical divisor, or be a hyper-K\"ahler manifold. It seems from these examples that if X_0 has Picard number 1 and has dimension at least 3 and X--->X_0 is a finite blowup along smooth centers, then any automorphism of X has topological entropy zero.
Speaker: Tuyen Truong
Institution: Syracuse
Event Organizer:
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