פעילויות השבוע
Arithmetic applications of o-minimality
On the Diophantine applications of the Pila Wilkie theorems Online
נוב 24, 10:10—12:00, 2020, online
מרצה
Kobi Peterzil (Haifa)
Jerusalem - Be'er Sheva Algebraic Geometry Seminar
Bad reduction and fundamental groups
נוב 25, 15:00—16:30, 2020,
מרצה
Netan Dogra (Oxford)
תקציר
This talk will be about two related results concerning Galois actions on pro-p fundamental groups of curves over mixed characteristic local fields, with applications to the algorithmic resolution of Diophantine equations. The first result is joint with Alex Betts, and gives a description of how the Galois action on the fundamental group varies with the choice of basepoint in terms of harmonic analysis on the dual graph of the special fibre of a stable model (when p is different from the residue characteristic). The second result is joint with Jan Vonk, and gives a description of how to compute the Galois action (in a p-adic Hodge theoretic sense) when the residue characteristic is p and the curve has semistable reduction.
BGU Probability and Ergodic Theory (PET) seminar
Is invariable generation hereditary? Online
נוב 26, 11:10—12:00, 2020, Online
מרצה
Gil Goffer (Weizmann Institute)
תקציר
I will discuss the notion of invariably generated groups and present a construction of an invariably generated group that admits an index two subgroup that is not invariably generated. The construction answers questions of Wiegold and of Kantor-Lubotzky-Shalev. This is a joint work with Nir Lazarovich.