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Mini-course by Karen Vogtmann (University of Warwick)

26 Sep 2024

Moduli spaces of graphs Mini-course by Karen Vogtmann (University of Warwick) at UNIGE 8-10 October.

Place:

Section de mathématiques, rue du Conseil-Général 7-9 1205, Genève Switzerland.

Time:

Tuesday 8.10.24 at 10:30, room 1-05

Tuesday 8.10.24 at 15:30, room 1-07

Wednesday 9.10.24 at 11:00, room 6-13

Thursday 10.10.24 at 16:15, room 1-15

 

Abstract

This minicourse will be an introduction to the study of moduli spaces of finite metricgraphs. Motivation for understanding these spaces comes from many areas ofmathematics and science, including geometric group theory, the classical moduli spaceof Riemann surfaces, Kontsevich's graph complexes, perturbative quantum field theoryand even phylogenetics. I will focus on explaining what is known about topologicalinvariants of these spaces, such as Euler characteristics and cohomology.

Phase III direction(s)

  • Spectral gap problems in non-perturbative quantum theory
  • Holography and bulk-boundary correspondence
  • From Field Theory to Geometry and Topology

Exhibition - The mathematical world of M.C. Escher

Open Position: PhD in Mathematical and Theoretical High Energy Physics

  • Leading house

  • Co-leading house
The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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