Seminar on Pila–Wilkie point counting — WS 2020/21

Time
Mondays, 10:15 – 11:45
Place
SR318
Program
program.pdf
Mailing list
pila-wilkie-seminar[MONKEYTAIL]math.uni-freiburg.de
Organizers
Reid Barton, Johan Commelin
In this seminar, we will refine our understanding of o-minimal theory by studying in detail the proof of the Pila–Wilkie point counting theorem. After that, we will look at applications of this result in diophantine geometry.

Schedule

DateSpeakerTitle
24.10.22Johan CommelinIntroduction and Organization
31.10.22Charlotte BartnickO-minimality I: crash course on logic
07.11.22Francesco GallinaroO-minimality II: examples
14.11.22Annette HuberO-minimality III: cell decomposition
21.11.22Christoph BrackenhoferPila–Wilkie I: overview and structure of proof
28.11.22Francesco GallinaroPila–Wilkie II: parametrization theorem
05.12.22Reid BartonPila–Wilkie III: diophantine approximation
19.12.22Amador Martin-PizarroPila–Wilkie IV: end of proof, refinements
16.01.23Amador Martin-PizarroApplications I: Manin–Mumford for tori
23.01.23Johan CommelinApplications II: Manin–Mumford for abelian varieties