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Stable maps to quotient stacks with a properly stable point

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If you have a question about this talk, please contact Dhruv Ranganathan .

Finding nice compactifications of moduli stacks of maps from smooth curves to a fixed target X is a central problem in enumerative geometry. Over the years, this problem has been solved in several degrees of generality, depending on what kind of object the target X is. I will present a way to compactify the stack of maps to quotient stacks having an integral, projective good moduli space and a properly stable point. This construction applies for instance when X is the GIT compactification of stacks of binary forms of even degree, of plane cubics, and also when X is a quotient of a Deligne-Mumford stack by a torus. This is a joint work with Giovanni Inchiostro.

This talk is part of the Algebraic Geometry Seminar series.

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