Speaker: Professor Gordon Heier (University of Houston)
Title: Essentially large divisors and degeneracy of integral points
Time: 2011-07-21 (Thu.)  15:00 - 16:00
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: We will discuss higher dimensional generalizations of Siegel's classical finiteness theorem for integral points on affine curves. A class of divisors on projective manifolds, called essentially large divisors, will be introduced. This notion allows us to make precise the idea that a divisor with sufficiently many ample components should force sets of integral points in the complement of the divisor to be degenerate. For projective manifolds of Picard number one, a necessary and sufficient criterion for a divisor to be essentially large will be established. This is joint work with Min Ru.
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