Lunch Seminar, Fall 2023
Time: Mondays, 1pm
Location: Manchester, faculty lounge
Organizers: Ari Shnidman, Borys KadetsTopics:
- Integral points and Runge’s method
- Skolem’s method and the Skolem-Mahler-Lech theorem
- Chabauty’s theorem and the Chabauty-Coleman method
- Siegel’s theorem on integral points
- Belyi’s theorem
- Davenport-Zannier polynomials, dessins, and Hall’s conjecture
- Hasse-Minkowski theorem
- Failures of the local-global principle and Cassels-Tate pairings
Talks:
January 1 Organizational meeting + Borys Kadets Solving equations in roots of unity
January 8 Ari Shnidman The Chebotarev density theorem
January 15 Noam Zimhoni The theorem of Skolem-Mahler-Lech
January 22 Guy Sapire Chabauty's method
January 29 Amit Bar The Hasse-Minkowski theorem
February 5 Zev Rosengarten The circle method
February 12 Eden Granot Belyi's theorem
February 19 Matthias Hippold Davenport-Zannier polynomials
February 26 Gali Maman The Schneider-Lang theorem
March 4 Andreas Wieser Composition of binary quadratic forms via planes and applications to knots
March 11 Asvin G Summing divergent series while preserving (arithmetic) symmetry