Alexander Neshitov - Fibrant Resolutions of Motivic Thom Spectra

This is a joint work with G. Garkusha. In the talk I will discuss the construction of fibrant replacements for spectra consisting of Thom spaces (suspension spectra of varieties and algebraic cobordism 𝑀𝐺𝐿 being the motivating examples) that uses the theory of framed correspondences. As a consequence we get a description of the infinite loop space of 𝑀𝐺𝐿 in terms of Hilbert schemes.