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The Stark conjecture over the field of rational numbers: A new approach

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Speaker: 
Robert Sczech
Zugehörigkeit: 
Rutgers University
Datum: 
Mit, 31/05/2023 - 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (moree @ mpim-bonn.mpg.de)

 

We present a new proof for the algebraicity of the cyclotomic Stark units. These units are defined in a transcendental way, via the derivative at s=0 of a partial zeta function. The proof links these units to the special values of the Riemann zeta function at positive even integers. The rationality of these special values (modulo a power of pi) implies the algebraicity of the cyclotomic Stark units.

 

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