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Caltech

Algebra and Geometry Seminar

Monday, March 14, 2022
4:00pm to 5:00pm
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Online Event
Punctured log Gromov-Witten invariants
Mark Gross, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge,

I will discuss a generalization of stable log maps developed with Abramovich, Chen and Siebert. Punctured log maps are a slight modification of ordinary stable log maps which allow for negative contact orders with divisors. This is crucial if one would like to develop a gluing formalism for stable log maps, as a splitting of a stable log map obtained by partially normalizing a domain curve is not a stable log map, but rather a punctured log map. I will sketch the definitions, and highlight some intriguing aspects of the theory.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].