5th may 2021: 1d and 2d adeles and their applications

Ivan Fesenko

Title: 1d and 2d adeles and their applications

Abstract: Adeles are complete topological objects that have usual (discrete) geometric objects such as divisors and cohomology groups as their 'shadows'.

Topological symmetries and self-dualities of adeles produce new proofs, which explain, of the duality and the Riemann-Roch theorem.

Harmonic analysis on adeles, using arithmetic Feynman integration in 2d, reveals fundamental properties of the zeta functions of 1d and 2d arithmetic schemes.

Zoom link: https://unige.zoom.us/j/729148170?pwd=cENIVW4wa2xybmM2YjhMNlREUTBuQT09

Meeting ID: 729 148 170

Password: Tortue

Wednesday 5th May 2021, 14:00