Chirantan Chowhury (TU Darmstadt): Fundamental groups of proper algebraic stacks are finitely presented

The question of topological finite presentation of etale fundamental groups for proper schemes over algebraically closed fields of positive characteristic, raised by Grothendieck, remained open until recently. It was resolved for smooth projective varieties by Esnault, Shusterman and Srinivas. Lara, Srinivas and Stix have extended this result to connected proper schemes. In this talk, I present my joint work with Ludvig Modin, in which we extend this result to algebraic stacks. In particular, we show that for connected proper algebraic stacks with finite inertia over an algebraically closed field, the etale fundamental group, as introduced by Noohi, is topologically finitely presented.

Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl)