Lectures

RTG Lecture

Summer Semester 2021

James Farre: Aspects of Teichmüller-Thurston Theory

This will be a crash course in some aspects of the theory of surfaces including an overview of the classical complex analytic theory and Thurston’s work incorporating hyperbolic geometry which revolutionized the field of low dimensional topology and geometry.  Throughout, we will emphasize essential differences and similarities between the two theories.  Near the end of the course, we will explain some recent work that relates the dynamics of several well studied (and less well studied) flows on certain bundles over the moduli space of surfaces.  

Georg Frenck: Cobordism theory

In this course we will explore the classification of manifolds up to the equivalence relation of being cobordant.

 

Past RTG Lectures

Winter Semester 2020/21
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces" Kähler groups and Geometric Group Theory (Claudio Llosa), Surgery theory and the Farrell-Jones conjecture (Carmen Rovi)

Summer Semester 2020
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces" A short introduction to amenable groups (Alessandro Carderi), The top Lyapunov exponent (Thi Ndang)

Winter Semester 2019/20
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces" Filling arithmetic groups (Enrico Leuzinger), Controlled topology applied to study aspherical manifolds (Tom Farrell)

Summer Semester 2019
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
Gromov's nonsqueezing theorem (Urs Fuchs), CAT(0) cube complexes and applications to group theory and low-dimensional topology (Jonas Beyrer)

Winter Semester 2018/19
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
Intoduction to arithmetic groups and their cohomology (Steffen Kionke), An introduction to geometric representation theory (Andrew Sanders)

Summer Semester 2018
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
Geometric Convergence and Finiteness Theorems and their Applications (Wilderich Tuschmann), Coxeter Groups and Geometry (Gye-Seon Lee)

Winter Semester 2017/18
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
The Willmore functional (Tobias Lamm), Thurston's theory of surfaces (Daniele Alessandrini)

Summer Semester 2017
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
Introduction to parabolic geometries (Karin Melnick), Incidence structures on flag varieties and rigidity (Beatrice Pozzetti), CAT(0) groups and geometry (Petra Schwer)

Winter Semester 2016/17
RTG Lecture "Asymptotic Invariants and Limits of Groups and Spaces"
Torsion Invariants (Roman Sauer), Harmonic Maps (Andy Sanders)

 

Research Seminars

 

Topology (KA)

Differential Geometry (KA)

Geometry (HD)

Geometric Analysis (KA)

Symplectic Geometry (HD)