Lectures on The interrelation between Hilbert’s Tenth Problem and arithmetic geometry

Speaker:

Carlo Pagano

Affiliation:

Concordia University/MPIM

Date:

Thu, 05/06/2025 - 10:30 - 12:00

Location:

MPIM Seminar Room [2]

Parent event:

IMPRS Mini course on "The interrelation between Hilbert’s Tenth Problem and arithmetic geometry" [3]

Lectures 3 & 4 by Carlo

Thursday 26 June, 10:30-12:00 & 13:00-14:30

These lectures focus on the use of elliptic curves in proving H10/R for any finitely generated ring R; using many existing reductions, one arrives at a problem of controlling Selmer groups of an analogue of the Manin elliptic curve, which is done by new tools using additive combinatorics.