Periods in Number Theory, Algebraic Geometry and Physics

ag.algebraic-geometry mp.mathematical-physics nt.number-theory
Start Date
2018-01-03 
End Date
2018-04-20 
Institution
Hausdorff Research Institute for Mathematics 
City
Bonn 
Country
Germany 
Meeting Type
conference 
Homepage
https://www.him.uni-bonn.de/programs/future-programs/future-trimester-programs/periods-2018/description/ 
Contact Name
 

Description

he word "period" is used to designate any number represented by the integral of an algebraic differential form over a cycle in an algebraic variety over \mathbb{Q} (or \overline{\mathbb{Q}}). These include many numbers of interest in number theory and mathematical physics (multiple zeta values, Mahler measures, superstring amplitudes, ...), and also have deep connections with special values of motivic L-functions.

The trimester will be divided into five "activities", each concentrating on one topic and including one or several introductory courses, and also three one-week workshops featuring lectures on current work:

Motives and Periods (Jan 3 - Jan 14)
Workshop: Periods and Regulators (Jan 15 - Jan 19)
Regulators (Jan 20 - Feb 4)
Amplitudes (Feb 5 - Feb 25)
Workshop: Amplitudes and Periods (Feb 26 - Mar 2)
Picard-Fuchs Equations and Geometry (Mar 3 - Mar 25)
Workshop: Picard-Fuchs Equations and Hypergeometric Motives (Mar 26 - Mar 30)
Hypergeometric Motives (Mar 31 - Apr 20)

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