[Topology.beta] AG 2025!

[Rot, T.O. (Thomas)]

Dear all,

Tomorrow we have Aaron Gootjes Dreesbach in the AG at 11:00 in Maryam. Title and abstract below.

See you tomorrow,

Thomas


14-01-2025 Aaron Gootjes-Dreesbach
Jet configuration spaces and weightings
Blowing up the diagonal of $M^2$ for a manifold $M$ yields a configuration space that remembers the collision axis of collided configurations. Fulton and MacPherson famously generalized this construction to configurations of more than two points. In joint work with A. del Pino, we build configuration spaces for jets of maps $M\to N$ in the same spirit, but adapted to the main structure on jet space: The Cartan distribution and the Lie filtration it generates. Higher jet orders necessitate the use of \textit{weighted} blow-ups, which we tackle within the recent differential-geometric framework of \textit{weightings} due to Loizides and Meinrenken. In this talk, I first intuitively illustrate this motivation and our construction. I will then give an introduction to weightings and discuss how we use them as far as time allows.





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