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Steffen Marcus

2013-06-18
11:00:00 - 12:00:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

We will outline the current state of logarithmic Gromov-Witten (GW) theory in the sense of Abramovich—Chen and Gross—Siebert. This is a recent development extending relative GW theory to degenerations and pairs relative to simple normal crossings divisors.

References:

[1] K. Kato, Logarithmic structures of Fontaine—Illusie

[2] Q. Chen, Logarithmic stable maps to Deligne—Faltings pairs I

[3] D. Abramovich and Q. Chen, Logarithmic stable maps to Deligne-Faltings pairs II

[4] M. Gross and B. Siebert, Logarithmic Gromov-Witten invariants I