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SUMMARY:The underlying topological nature of the Poincaré series of a pla
 ne  curve
DTSTART:20230418T151500
DTEND:20230418T170000
DTSTAMP:20260916T142245Z
UID:4ee771d8513fcaafbf2225329cb3108ebdd469bf9ba933bd7b716a44
CATEGORIES:Conferences - Seminars
DESCRIPTION:Patricio Almirón (IMAG)\nIn 2003\, Campillo\, Delgado and Gus
 ein-Zade show the equality between the Poincaré series of a reducible pla
 ne curve singularity $C$ and the Alexander polynomial $\\Delta_L$ of the c
 orresponding link $L$. However\,  their proof lacks of a conceptual expla
 nation for this coincidence. In this talk I will show some new theorems of
  factorization of the Poincaré series $P_C$ depending on some key values 
 of the semigroup of values of $C$ with purely algebraic methods. As a cons
 equence of these theorems\, we will show that our procedure supplies a new
  proof of the theorem of Campillo\, Delgado and Gusein-Zade. Moreconcretel
 y\, we will focus on the translation of our algebraic construction to the 
 iterated toric structure of the link $L$. This is a joint work with Julio 
 José Moyano-Fernández.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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