Sofia Kovalevskaya Lecturebaumeist/wop2017/kovalevskaya… · Sofia Kovalevskaya Lecture Speaker...

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Sofia Kovalevskaya Lecture Speaker April 5th 2018, 4:30 pm, Room H6 Prof. Dr. Alessandra Iozzi (ETH Zürich) Title: HIGHER TEICHMÜLLER THEORY AND GEODESIC CURRENTS Abstract: We start by recalling features of classical Teichmüller space of a topological surface. We explain the notion of "higher Teichmüller" by introducing the notion of maximal representations and of Hitchin component and we see how some of the classical features, such as the Thurston compactification, generalize to the "higher Teichmüller" setting. In the process we explain a structure theorem for geodesic currents. This is joint work with M. Burger, A. Parreau and B. Pozzetti. Fakultät für Mathematik Jury Barbara Baumeister (Bielefeld University) Bettina Eick (TU Braunschweig) Barbara Gentz (Bielefeld University)

Transcript of Sofia Kovalevskaya Lecturebaumeist/wop2017/kovalevskaya… · Sofia Kovalevskaya Lecture Speaker...

Page 1: Sofia Kovalevskaya Lecturebaumeist/wop2017/kovalevskaya… · Sofia Kovalevskaya Lecture Speaker April 5th 2018, 4:30 pm, Room H6 Prof. Dr.Alessandra Iozzi (ETH Zürich) Title: HIGHER

Sofia ­ Kovalevskaya ­ Lecture

Speaker

April 5th 2018, 4:30 pm,Room H6

Prof. Dr. Alessandra Iozzi(ETH Zürich)

Title:HIGHER TEICHMÜLLER THEORY ANDGEODESIC CURRENTS

Abstract:We start by recalling features of classicalTeichmüller space of a topological surface. Weexplain the notion of "higher Teichmüller" byintroducing the notion of maximalrepresentations and of Hitchin component andwe see how some of the classical features, suchas the Thurston compactification, generalize tothe "higher Teichmüller" setting.In the process we explain a structure theoremfor geodesic currents. This is joint work with M.Burger, A. Parreau and B. Pozzetti.

Fakultät fürMathematik

Jury

Barbara Baumeister (Bielefeld University)

Bettina Eick (TU Braunschweig)

Barbara Gentz (Bielefeld University)