# Upcoming Events

The Grothendieck ring of algebraic stacks was introduced by T. Ekedahl in 2009, following up on work of other authors. It is a generalization of the Grothendieck ring of varieties. For…

The Hilbert scheme of n points in P^2 is smooth of dimension 2n and the tangent space to any monomial subscheme admits a pleasant combinatorial description. On the other hand, the Hilbert scheme of n points in P^3 is almost always singular and there is a conjecture by Briançon and Iarrobino…

I will introduce a Grothendieck topology, the cdarc topology, discovered in joint work with Marc Hoyois, Ryomei Iwasa and Shane Kelly which is a completely decomposed counterpart to Bhatt and Mathew's arc topology. It is a non-noetherian analog of Suslin-Voevodsky's cdh topology and is thus…

In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss a new approach to the motivic spectral sequence for twisted K-theory, constructed earlier by Bruno Kahn and Marc…