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DTSTAMP:20190322T202007Z
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DTSTART:20180315T151500
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DESCRIPTION:We will describe an approach to studying meromorphic connection
s on vector bundles of higher rank in terms of simpler objects: meromorphic
connections on line bundles (aka abelian connections). Roughly speaking\,
given a connection on a vector bundle over a complex curve X\, we extract t
he asymptotic information at the poles and encode it in a flat line bundle
over another complex curve Σ which is an appropriate cover Σ -> X. This app
roach is called abelianisation\, because the nonabelian holonomy data of a
connection on X of higher rank is put in equivalence with abelian holonomy
data of an abelian connection on Σ. We will explain how abelianisation sets
up an equivalence of categories.
LOCATION:ETH Zürich\, Zentrum HG G 43
ORGANIZER:
SUMMARY:Abelianisation of logarithmic connections
URL:https://www.math.ethz.ch/news-and-events/events/research-seminars/talks
-in-mathematical-physics.html
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