Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Special Lecture Series: Alain Connes

Alain Connes
May 4, 2016
10:30 am - 11:25 am
Cockins 240

May 5, 2016
10:30 am - 11:25 am
Cockins 240

May 6, 2016
10:30 am - 11:25 am
Cockins 240

May 9, 2016
10:30 am - 11:25 am
Cockins 240

Title: The scaling site and Rieman-Roch of type II

Speaker: Alain Connes (College de France, IHES, and OSU)

 

Abstract: I will explain the joint work with C. Consani in which we develop algebraic geometry in characteristic one using the « scaling site » as a tropical curve which allows us to transpose the basic step of the geometric proof of RH for curves in finite characteristic. The frontier of the subject is the Riemann-Roch theorem, and I will discuss the RR in tropical geometry and the type II Riemann-Roch for the periodic orbits associated to primes as analogues of the Jacobi elliptic curves, as well as the analogues of theta functions.

Events Filters:

Department Event