Seminar in Real and Complex Geometry

Thursday, December 9, 2021, 16:00-17:30, online (via zoom)

Dan Abramovich
(Brown University)

Punctured logarithmic maps


Gromov-Witten theory revolves around the enumerative question of counting algebraic curves in a smooth algebraic variety X meeting n given cycles - the utmost generalization of the question "how many lines pass through two given points". Enumerative geometry, degeneration techniques, and mirror symmetry lead us to consider the analogous question where one also imposes contact orders with a suitable divisor. I will introduce our work laying general foundations for such a theory.
This is joint work with Q. Chen, M. Gross, and B. Siebert.