Seminars

Markus Spitzweck (Universität Osnabrück) will present the talk «Representation categories and motives».

In 80s Weibel observed that K-theory is homotopy invariant on F_p-schemes up to p-torsion. His main tool was the action of the ring Witt vectors on nil-K-groups: NK_i(R) = Ker(K_i(R[t]) → K_i(R)). We will revisit the proof and check that the same result holds for all finitary localizing invariants.

I will explain how motivic homotopy theory can be used to attack problems regarding finite projective modules over smooth affine k-algebras. I will recall in particular the foundational theorem of Morel and Asok-Hoyois-Wendt, and the construction of the Barge-Morel Euler class. Time permitting, I will explain recent progress on Murthy's splitting conjecture.

Second of two lectures on constructing non-Fourier-Mukai functors

First of two lectures on constructing non-Fourier-Mukai functors

Alberto Merici will present his paper (joint with Frederico Binda and Shuji Saito) "Derived log Albanese sheaves".