Anna Wienhard (Heidelberg Universitaet)
Tuesday, April 20, 2021 - 14:00
Humboldt-Universitaet zu Berlin
Rudower Chaussee, 12489 Berlin, https://hu-berlin.zoom.us/j/61339297016
Higher Teichmueller theory emerged as a new field in mathematics about twenty years ago. It generalizes Thurston’s view on Teichmueller space, but also draws on new connections to representation theory, Higgs bundles, theoretical physics and cluster algebras. In this talk I will provide an overview of the different approaches to higher Teichmueller spaces, and explain how a generalization of total positivity provides a (conjectural) unifying framework. It also leads to new predictions and connections to Lie groups over non-commutative rings.
submitted by Gaetan Borot (gaetan.borot@hu-berlin.de)