Department of

Mathematics


Seminar Calendar
for events the day of Monday, November 3, 2014.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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                        30                                         

Monday, November 3, 2014

2:30 pm in 443 Altgeld Hall,Monday, November 3, 2014

Topology in Networks and Signal Processing

Harish Chintakunta (UIUC ECE)

Abstract: I will talk about a few applications where topological features play an important role, including emphasis on computational aspects. In sensor networks, I will show how combinatorial Laplacians can be effectively used to find coverage holes and compute persistence of homological features to improve robustness. I will then discuss the relation between restricted Delaunay triangulation and alpha complexes, and its implications in networks. I think Topology will play a major role in signal processing and social networks, and we are beginning to see these connections. In signal processing, the entry point for Topology is the delay embedding, where a signal is converted into a point cloud. I will talk about about a simple application of detecting wheezes in breathing signals using this approach, and then share my view of future of topology (and geometry) in signal processing. In social networks, I will present some of our recent findings on how topology influences the core periphery decomposition of a network, and helps in detecting communities.

3:00 pm in 341 Altgeld Hall,Monday, November 3, 2014

Poisson geometry and Lie theory of vector bundles

Henrique Bursztyn (IMPA)

Abstract: In this talk I will discuss vector bundles in the realm of Lie groupoids (resp. Lie algebroids), known as VB-groupoids (resp. VB-algebroids). Just as Lie groupoids are common generalizations of manifolds and Lie groups (often thought of as models for singular spaces), VB-groupoids encompass vector bundles and linear representations (and can be thought of as ``categorified'' vector bundles over singular spaces). I will explain the Lie theory relating VB-groupoids and VB-algebroids, including examples and applications. Poisson structures enter the picture as objects dual to Lie algebroids, and I will point out the role of this dual viewpoint in our results. This is joint work with A. Cabrera and M. del Hoyo.

4:00 pm in 243 Altgeld Hall,Monday, November 3, 2014

Snaith's Cheshire Cat

Sarah Yeakel (UIUC Math)

Abstract: 'Twill be brillig when we'll fall down a rabbit hole into the wonderland of stable splittings, first meeting various classical constructions of James and Boardman. We may encounter a spectral sequence as we investigate some exciting proofs from the 70s. If we're not too late, some slithy Goodwillie calculus may appear. We hope it will not be complete nonsense.

5:00 pm in Altgeld Hall,Monday, November 3, 2014

Free probability II

Wafaa (UIUC)