The investigation of the interactions of geometric, topological and algebraic structures has reiteratively led to new scientific advances within and beyond the realms of mathematics. A preeminent example being the geometrization of 3-manifolds.

Researchers from algebraic geometry, differential geometry, geometric analysis, geometric group theory, metric geometry, topology and number theory jointly constitute the research focus "Geometry, Groups and Topology". Their objective is to represent those interactions in both research and teaching.

- Participating researchers
- Research seminar
*Geometry, Groups and Topology* - Conferences and workshops
- PhD workshops

#### NEWS

**9th Geometry Day**

* Karlsruhe-Heidelberg-
Strasbourg*

Strasbourg, April 28th, 2017

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**Special RTG Day**

** in honor of Enrico Leuzinger’s 60th birthday**

Karlsruhe, May 30th, 2017

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**Talk at the GGT-Seminar**

** Dr. Anja Randecker **

University of Toronto

University of Toronto

Karlsruhe, June 13th, 2017

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#### Participating researchers

**PD Dr. Manuel Amann** (RG Topology)

**Dr. Fernando Galaz-Garcia** (RG Differentialgeometrie)

**Dr. Sebastian Grensing ** (RG Differential Geometry)

**Prof. Dr. Frank Herrlich** (RG Number Theory and Algebraic Geometry)

**PD Dr. Fabian Januszewski** (RG Number Theory and Algebraic Geometry)

**Dr. Holger Kammeyer** (RG Topology)

**Prof. Dr. Tobias Lamm** (RG Applied Analysis)

**Prof. Dr. Enrico Leuzinger** (RG Metric Geometry)

**PD Dr. Gabriele Link** (RG Metric Geometry)

**Prof. Dr. Roman Sauer** (RG Topology)

**JProf. Dr. Petra Schwer** (RG Metric Geometry)

**Prof. Dr. Wilderich Tuschmann** (RG Differential Geometry)

E-Mail to all.

#### Research seminar *Geometry, Groups and Topology*

Renowned external speakers are invited to the research seminar on a regular basis. The research seminar takes place in room SR 1.067 of the Mathe-Bau (20.30), tuesday 13:30h - 15:00h.

## SUMMER TERM 2017

13 June: **Anja Randecker** (University of Toronto)

*tba*

## WINTER TERM 2016/17

13 December: **Ghislain Fourier** (Leibniz Universität Hannover)

*Toric degenerations in Representation Theory*

29 November: **Lorenz Schwachhöfer** (TU Dortmund)

*Cohomological invariants on manifolds with special holonomy*

## SUMMER TERM 2016

31 May: **Romain Tessera** (Université Paris-Sud, Orsay)

*Local-to-Global rigidity for singular spaces*

7 June: **Seonhee Lim** (Seoul National University)

*Sturming Colorings of Trees*

5 July: **Peter H. Kropholler** (University of Southampton)

*Random walks in soluble group theory*

19 July: **Thibaut Dumont** (University of Utah)

*On the growth of Klingler’s cocycles and the geometry of Euclidean buildings of type Ã*

## WINTER TERM 2015/16

19 January: **Jan Swoboda** (Ruprecht-Karls-Universität Heidelberg)

*Geometric and analytic aspects of Higgs bundle moduli spaces*

8 December: **Pierre-Emmanuel Caprace** (Université catholique de Louvain)

*Building buildings by means of means *

17 November: **Christophe Pittet ** (Aix-Marseille Université)

*Ergodic properties of quasiregular representations of lattices of semisimple Lie groups*

27 October: **Conrad Plaut** (University of Tennessee)

*Applications of Discrete Homotopy Theory *

20 October: **Adrien Le-Boudec ** (Université Paris-Sud, Orsay)

*C*-simplicity and the amenable radical*

## SUMMER TERM 2015

7 July: **Olaf Müller ** (University of Regensburg)

*Conformal techniques, bounded geometry and the Yamabe flow*

16 June: **Olga Varghese** (WWU Münster)

*Actions of SAut(Fn) on manifolds*

9 June: **Johannes Ebert** (WWU Münster)

*Positive Scalar Curvature and Stable Homotopy Theory *

2 June: **Leticia Barchini** (Oklahoma State University)

*Geometric models of Cohomologically Induced Modules*

12 May: **Kazim Büyükboduk** (Koc University of Istanbul)

*On the exceptional zeros of non-$p$-ordinary $p$-adic $L$-functions*

5 May: **Ioannis Antoniadis** ( University of Crete, Heraklion)

*Über die Arithmetik der Heisenbergschen Kurve*

## WINTER TERM 2014/15

10 February: **Alexander Lytchak** (University of Cologne)

*Thin and large, thick and small*

3 February: **Anne Thomas** (University of Glasgow)

*Quasi-isometry and commensurability for right-angled Coxeter groups*

20 January: **Oliver Goertsches** (LMU Munich)

*Group actions on Sasakian manifolds*

13 January: **Claudio Gorodski ** (USP São Paulo)

*Isometric actions on spheres with an orbifold quotient*

16 December: **Alessandro Sisto** (ETH Zürich)

*Bounded cohomology of acylindrically hyperbolic groups*

25 November: **Ernst Kuwert** (University of Freiburg)

*Minimization problems for the Willmore functional*

## SUMMER TERM 2014

8 July: **Wolfgang Ziller** (University of Pennsylvania)

*Submanifolds of Euclidean space with nonnegative curvature*

27 May: **Karsten Grove** (University of Notre Dame)

*Maximal diameter rigidity for submetries in positive curvature*

## WINTER TERM 2013/14

21 January: **Esther Cabezas-Rivas** (Goethe-Universität Frankfurt)

*A generalization of Gromov's almost flat manifold theorem*

14 January: **Gregory Soifer** (Bar-Ilan University, Tel Aviv)

*The Auslander conjecture for dimension less than 7 *

## SUMMER TERM 2013

2 July: **Michael Puschnigg** (Heidelberg and Marseille)

*The Baum-Connes conjecture*

11 June: **Kevin Wortman** (University of Utah)

*Cohomology of arithmetic groups over function fields and related groups*

21 May: **Sara Maloni** (Université Paris-Sud 11)

*Plumbing construction and slices of Quasifuchsian groups*

14 May: **David Wraith** (National University of Ireland, Maynooth)

*Aspects of topology and geometry in cohomogeneity greater than one*

30 April: **Łukasz Grabowski** (University of Oxford)

*Some spectral computations of random walk operators*

#### Conferences and workshops

**Special RTG Day**in honor of Enrico Leuzinger's 60th birthday (2017)

**SWAS**- Südwest Arithmetik-Seminar (annually: Summer 2016)

- A conference in honor of Richard Weiss' 70th birthday:
**Group Theory, Geometry and the Influence of Jacques Tits**(2016)

- Heidelberg-Karlsruhe-Strasbourg
**Geometry Days**(semi-annually: Spring 2017)

- International conference
**Young Geometric Group Theory V**(2016)

- Karlsruher
**Weihnachtsworkshop**zur Geometrie und Zahlentheorie (annually: 2016)

- International conference
**Chinese-German Workshop on Metric Riemannian Geometry**(2015)

**GAFKA**- Geometrie und Analysis Frankfurt KArlsruhe-Seminar (quarterly: Summer 2016)