Department of Mathematics,
University of California San Diego
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Math 292
Sihao Ma
University of Notre Dame
The Borel and genuine $C_2$-equivariant Adams spectral sequences
Abstract:
The Segal conjecture suggests that the 2-completed $C_2$-equivariant sphere is equivalent to its homotopy completion. However, the genuine $C_2$-equivariant Adams spectral sequence for the $C_2$-equivariant sphere is not isomorphic to the Borel one. In this talk, I will show that the Borel $C_2$-equivariant Adams spectral sequence can be obtained from the genuine one through a degree shifting of the negative cone with connecting differentials shortened. I will also show that the Borel $C_2$-equivariant Adams spectral sequence is related to some classical Adams spectral sequences, whose $E_2$-terms are computable through the Curtis algorithm.
Host: Zhouli Xu
March 14, 2023
4:30 PM
APM 7218
Research Areas
Geometry and Topology****************************
