Algebraic Topology Seminar

Building on the work of Voevodsky and Ananyevskiy, Druzhinin, Garkusha, Neshitov and Panin, an analog of May's recognition principle in algebraic geometry was discovered in an older joint work with Hoyois, Khan, Sosnilo and Yakerson (HKSY). Three years on, I will make a progress report on what theory has been used to prove focusing on two results: a universal homeomorphism invariance property of stable motivic homotopy (with Khan) and a new proof of Voevodsky's conjectures on slices of the motivic K-theory spectrum (with Bachmann). Time permitting, I will also say something about what the future might hold for the theory. Speaker(s): Elden Elmanto (Harvard)