Difference sheaves and torsors

Seminarium: 
Teoria modeli
Osoba referująca: 
Piotr Kowalski (University of Wrocław)
Data: 
środa, 22. Styczeń 2020 - 16:15
Sala: 
602
Opis: 
I will describe some results from the joint paper with Marcin Chałupnik "Difference sheaves and torsors" (available at https://arxiv.org/abs/1912.06886). This work is not about model theory, but it is partially motivated by model theory of difference fields.

We develop sheaf theory in the context of difference algebraic geometry. We introduce categories of difference sheaves and develop the appropriate cohomology theories. As specializations, we get difference Galois cohomology, difference Picard group and a good theory of difference torsors.