Wednesday, May 20, 2015
14:00 – 14:15  Opening 
14:15 – 15:15  Keynote I by Osamu Saeki, Kyushu University Slides Chair: Hamish Carr 
15:15 – 15:45  Coffee Break 
15:45 – 17:25  Papers I (Scalar Fields) Chair: Mario Hlawitschka

18:00  Dinner 
Thursday, May 21, 2015
09:00 – 10:00  Keynote II by Kathrin PadbergGehle, Technische Universität Dresden includes presentation of the paper
Chair: Tino Weinkauf 
10:00 – 10:30  Coffee Break 
10:30 – 12:00  Papers II (MorseSmale Complex) Chair: Christian Heine

12:00 – 13:30  Lunch 
13:30 – 15:10  Papers III (Vector Field Topology) Chair: Tino Weinkauf

15:10 – 15:40  Coffee Break 
15:40 – 17:20  Papers IV (HighDimensional and Multivariate Analysis) Chair: Christian Rössl

19:00  Dinner 
Friday, May 22, 2015
09:00 – 10:15  Papers V (Coherent Structures) Chair: Filip Sadlo

10:15 – 10:45  Coffee Break 
10:45 – 12:00  Papers VI (Multivariate Analysis) Chair: GeorgesPierre Bonneau

12:00 – 12:15  Closing Remarks 
12:15 – 13:30  Lunch (optional) 
13:30 – 18:00  Hike to Trifels Castle (optional) 
Invited Keynotes
TopoInVis 2015 will feature two invited keynote talks:
Topology of Singular Fibers for Visualization
Osamu Saeki, Kyushu University
Slides of the keynote
Classical Morse theory studies a single function, or a scalar field, given on a space, and is indispensable for data visualization. In this talk, we consider an analogue for handling several functions at a time, or in other words, a multivariate function. We first introduce such a theory from a mathematical viewpoint, putting emphasis on the theoretical side. The key ingredient is the socalled “singular fiber”, which is a natural counterpart of a level set containing a critical point of a Morse function. As topological change of level sets occurs near critical points, topological change of preimages is encoded in singular fibers. We will see that singular fibers help us to capture the global feature of a given set of multivariate data. Some algorithmic aspects are also presented in relation to joint contour nets. Many of the contents are a joint work with Shigeo Takahashi, Daisuke Sakurai, HsiangYun Wu, Keisuke Kikuchi, Hamish Carr, David Duke, and Takahiro Yamamoto.
Professor Osamu Saeki got his PhD in Mathematics from the University of Tokyo in 1992, by his thesis on 4dimensional topology. His main interest has been to investigate 3 and 4dimensional geometric objects by using differential topology, and in particular, singularity theory of differentiable maps. He is known to be one of the pioneers who established the theory of singular fibers of such maps. He is now a professor at the Institute of Mathematics for Industry, Kyushu University, and his recent main interest includes collaboration with computer scientists for enhancing visualization of multivariate data.
TransferOperator Methods for Analyzing Flow Data
Kathrin PadbergGehle, Technische Universität Dresden
In this talk we discuss the theory and application of transferoperator based methods for the numerical analysis of complex flows. Transfer operators describe the evolution of densities under the action of the flow. They can be efficiently approximated within a setoriented numerical framework and spectral properties of the resulting stochastic matrices are used to extract finitetime coherent sets. Also finitetime entropy, a densitybased stretching quantity similar to finitetime Lyapunov exponents, is conveniently approximated by means of the discretized transfer operator. Transfer operatorbased computational methods are purely probabilistic and derivativefree. Therefore they can also be applied in settings where derivatives of the flow map are hardly accessible. We demonstrate our approach in a number of example systems, in particular in the context of geophysical flow data.
Jun.Prof. Dr. Kathrin PadbergGehle obtained her PhD in Mathematics at the University of Paderborn (UPB), Germany, in 2005. She was a postdoctoral researcher in the DFG research training group “Scientific Computation” at UPB from 2005 to 2007 and at the Institute of Transport and Economics at Technische Universität Dresden (TUD), Germany, from 2007 to 2010. From 2008 to 2010 she was a visiting scientist at TUD’s Center for Information Services and High Performance Computing. Since 2010 she has been assistant professor for Applied Mathematics at the Institute for Scientific Computing at TUD. Dr. PadbergGehle’s research focuses on the development of setoriented methods for the numerical analysis of transport and mixing in complex systems and their applications in fluid dynamics.