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4:00 pm Tuesday, February 22, 2011 Algebraic Geometry Seminar: Logarithmic stable maps to Deligne-Faltings pairsby
Qile Chen (Brown) in HB 227- For the purpose of computing Gromov-Witten invariants, the compactification of the space of relative stable maps with respect to a smooth divisor was introduced and studied using expanded degeneration during the past decade. Starting from the backgrounds and basic definitions, I will introduce a new way of compactification using logarithmic structures in the sense of Kato-Fontaine-Illusie. In particular, this covers many interesting cases, such as the target variety with a simple normal crossings divisor, or a simple normal crossings degeneration of a variety with simple normal crossings singularities. This is in part joint work with Dan Abramovich.
Submitted by evanmb@rice.edu |