Past Events
I will present recent progress on the structure of the derived category of the moduli space of stable vector bundles on a curve. This talk is based on ongoing joint work with Kyoung-Seog Lee.
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 Levine…
Infinite dimensional analogues of classical formulas from the theory of p-adic groups give rise to a certain correction factor. For example, Macdonald's formula for the spherical function and the Casselman-Shalika…
The commutative (trigonometric) shuffle algebra is known to be isomorphic to the ring of symmetric functions (arxiv.org/abs/0904.2291v1). In this isomorphism one writes an integral operator where the shuffle algebra…
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…
To attend the talk, please, send an email to naprienko [at] stanford.edu (naprienko[at]stanford[dot]edu).
The…
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…
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…