Kyle Ormsby, University of Washington / Reed College

PDL C401
We identify the motivic \$KGL/2\$local sphere as the fiber of \$\psi^31\$ on \$(2,\eta)\$completed Hermitian \(K\)theory, over any base scheme containing 1/2. This is a motivic analogue of the classical \$K(1)\$local sphere, and extends to a description of the \$KGL/2\$localization of any motivic spectrum. Our proof relies on a novel conservativity argument that should be of broad utility in stable motivic homotopy theory. This is joint work with William Balderrama and J.D. Quigley.
There will also be a pretalk aimed at graduate students 2:303:20pm in PDL C401.