Zoom Meeting - ICTP Mathematics Seminar - Thursday 9 April, at 14:00 (Anton Mellit)

[ICTP/math - Mabilo Koutou]

ICTP Mathematics Seminar (Zoom Meeting)


Thursday 9 April, at 14:00


Address: Please note that the best option is that participants download
the Zoom Application from the link http://www.zoom.us/download and join
the meeting with the provided ID Join Zoom Meeting
https://zoom.us/j/749-725-833


Title: Cell decompositions of character varieties


Speaker: Anton Mellit (University of Vienna)
Email: anton.mellit at univie.ac.at
https://www.mellit.org/


Zoom Meeting
Meeting ID: 749-725-833


Abstract: Character variety is a variety parameterizing representations of
the fundamental group of a Riemann surface, or equivalently flat
connections, up to equivalence. First examples go back to Fricke and Klein
and give rise to the Markov surface. I will talk about a general way to
decompose a character variety into simple pieces thus connecting its
geometry to interesting combinatorics. Some theorems and conjectures of
Hausel, Letellier and Rodriguez-Villegas can be proved using this
approach.