EVENT DETAILS AND ABSTRACT

Title: Spaces of algebraic cobordism and derived algebraic geometry
Speaker: Elden Elmanto
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

In previous joint work with Hoyois, Khan, Sosnilo and Yakerson we obtained (up to group completion) a geometric description of the 0-th space of the motivic sphere spectrum in terms of a certain torsor over an open subscheme of the Hilbert scheme of points in infinite dimensional affine space. The base scheme is smooth and turns out to describe the 0-th space of Voevodsky's algebraic cobordism spectrum. The problem of describing the n-th space is currently in progress and the description involves the moduli of derived schemes of virtual dimension -n.

In this talk, I will discuss these results and some of its corollaries.