Modul:   MAT770  Oberseminar: Algebraische Geometrie

Unipotent homotopy theory of schemes

Vortrag von Dr. Emanuel Reinecke

Sprecher eingeladen von: Prof. Dr. Joseph Ayoub

Datum: 17.04.23  Zeit: 13.15 - 14.45  Raum: Y27H25

In this talk, I will present a notion of unipotent homotopy theory for schemes, which is based on Toen's work on affine stacks. I will discuss some general properties of the resulting unipotent homotopy group schemes and explain how over a field of characteristic p>0, they often recover the unipotent completion of the Nori fundamental group scheme, p-adic etale homotopy groups, and Artin-Mazur formal groups. As examples, we will see computations in the case of curves, abelian varieties, and Calabi-Yau varieties. Joint work with Shubhodip Mondal.