This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $144,469 to the University of Washington from February 1, 2023 through July 31, 2024. The grant supports research exploring connections between equivariant and chromatic homotopy theory to produce computations in chromatic homotopy theory.
Specifically, the Principal Investigator will study periodicity phenomena in the stable homotopy groups of spheres through the lens of equivariant and chromatic homotopy theory. Using a newly discovered connection between obstruction-theoretic actions and complex conjugations, the PI will analyze Lubin-Tate theories as equivariant spectra and apply equivariant machinery to produce higher chromatic height computations at prime 2. Overall, the grant aims to deepen the relationship between the two theories by proving theorems and carrying out additional chromatic computations related to norms, fixed points, and patterns in slice spectral sequences.
Generated 1/6/24, 10:30 PM