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Kirk Public Lecture: Stabilizing one arc at a time

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EHT - Equivariant homotopy theory in context

Homological stability has in recent years become a computational strategy: to compute the homology of certain types of objects, it can pay off to first stabilize, letting some rank associated to the object go to infinity, and then compute homology of the stable object instead. Standard examples would be letting the rank of a matrix, or the genus of a surface go to infinity. In this talk, I will give an introduction to these ideas, and explain two somewhat unusual examples of stabilizations, for mapping class groups of surfaces and for symplectic groups, one arc (or strip of paper!) at a time. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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