In this talk, we will present some initial work on planning using topological abstraction. We will consider a multi-pursuer multi-evader problem as a case study to ground the discussion. We will describe how we can cast the abstraction problem as a topological problem and by leveraging sheaf theoretic methods develop a framework to search for st...
Creator:
Speranzon, Alberto (United Technologies Corporation)
Created:
2015-10-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Breast cancer is a complex genetic set of diseases that remains to be understood. It is widely believed that for initiation and progression of each of these diseases a number of genes need to be missregulated. Gene missregulation may occur through gains or losses of the genome, commonly termed DNA copy number abnormalities (CNAs). CNAs are routi...
Creator:
Arsuaga, F. Javier (San Francisco State University)
Created:
2013-10-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Living nematic is a realization of an active matter combining a nematic liquid crystal with swimming bacteria. The material exhibits a remarkable tendency towards spatio-temporal self-organization manifested in the creation of dynamic textures of self-propelled half-integer topological defects (disclinations or vortices). The well-established a...
Creator:
Aronson, Igor (The Pennsylvania State University)
Created:
2018-01-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
To understand the function of neurons, as well as other types of cells in the brain, it is essential to analyze their shape. Perhaps unsurprisingly, topology provides us with tools ideally suited to performing such an analysis. In this talk I will present a selection of the results of a long-standing collaboration with Lida Kanari of the Blue Br...
Creator:
Kathryn Hess-Bellwald, Kathryn (École Polytechnique Fédérale de Lausanne (EPFL))
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In the first lecture, we will provide an overview of the various ways that topological informationis used in signal detection problems in functional MRI (fMRI) and otherimaging applications. The principal tool used involves computing the expectednumber of critical points of various types of a smooth random field undersome predetermined null hypo...
Creator:
Taylor, Jonathan (Stanford University)
Created:
2013-10-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Over the last ten years, a number of methodologies have been developed which leverage topological techniques and ways of thinking to provide understanding of point cloud data. These include ways of 'measuring' shape via homological signatures, topological mapping techniques, and applications of certain kinds of diagram constructions to collectio...
Creator:
Carlsson, Gunnar (Stanford University)
Created:
2012-03-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
DNA replication in bacteria yields two interlinked circular chromosomes. Returning the chromosomes to an unlinked monomeric state is essential to cell survival. Simplification of DNA topology is mediated by enzymes, such as recombinases and topoisomerases. We here focus on site-specific recombinases that recognize two short segments of DNA (the ...
Creator:
Vazquez, Mariel (University of California, Davis)
Created:
2019-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We propose topological one-way fibers enabled by the recently discovered Weyl points in a double- gyroid (DG) photonic crystal. By annihilating two Weyl points by supercell modulation in a mag- netic DG, we obtain the photonic analogue of the 3D quantum Hall phase with a non-zero first Chern number (C1). When the modulation becomes helixes, one-...
Creator:
Lu, Ling (Chinese Academy of Sciences)
Created:
2017-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The discovery of quantum spin Hall effect engendered a new chapter of topological materials research in condensed matter physics and materials science. In this talk, I will introduce some of our recent theoretical works about the topological phases in 2D and 3D transition metal chalcogenides. Based on first-principles calculations, we predict mo...
Creator:
Liu, Junwei (Massachusetts Institute of Technology)
Created:
2017-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we discuss the simplest model of a random graph embedding: the edge vectors are multivariate Gaussians conditioned on the topological constraints implied by the graph type. We will show that this model has a surprisingly rich and appealing theory, and allows for a variety of exact calculations for particular network types. This tal...
Creator:
Cantarella, Jason (University of Georgia)
Created:
2019-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we introduce the basic construction of topological RNA structures.We introduce shapes and the associated shape polynomial and its connection toRNA folding. We then establish the connection to unicellular maps and outlinethe combinatorial constructions that facilitate genus induction. We furthermoreshow applications of this framework...
Creator:
Reidys, Christian M. (Syddansk Universitet (University of Southern Denmark))
Created:
2013-12-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Distributed sensing, information and computation based on sensor networks comprise a new frontier in engineering and science. Cheap, easily available sensors performing collectively complicated tasks are forthcoming, and in security and other applications involving sensor networks the coverage of a region of interest is of a high importance. In ...
Creator:
Dlotko, Pawel (University of Pennsylvania)
Created:
2014-03-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Understanding of complicated spatial patterns emerging from wave interference, scattering and diffraction is frequently aided by insight from topology: the isolated places where some fundamental physical quantity -- such as optical phase in a complicated light field -- is undefined (or singular) organize the rest of the field. In scalar wave pat...
Creator:
Dennis, Mark (University of Bristol)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The hippocampus plays an important role in representing space (for spatial navigation) and time (for episodic memory). Spatial representation of the environment is pivotal for navigation in rodents and primates. Two types of maps, topographical and topological, may be used for spatial representation. Rodent hippocampal place cells exhibit spatia...
Creator:
Chen, Zhe (Sage) (Massachusetts Institute of Technology)
Created:
2013-12-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.