Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Andreas Hohl
Katholische Universität Leuven, Belgien

 
spricht am
 
Donnerstag, 11. Januar 2024
 
um
 
12:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Nearby cycles for irregular D-modules via enhanced ind-sheaves«

Abstract:
In order to understand differential equations with irregular singularities, it is essential to study the growth behaviour of their solutions. By a result of D'Agnolo-Kashiwara, objects called "enhanced ind-sheaves" classify differential systems, and hence they encode in particular information about solutions which grow polynomially or decrease rapidly near a singularity. In this talk, I will first give a short introduction to irregular singularities and (enhanced) ind-sheaves. I will then present a joint work with Brian Hepler, where we show how to recover quite naturally classical objects and results related to such growth conditions from this general context.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Marco Hien



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