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Archive : Departmental Colloquia

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Noga Alon, Princeton University and Tel Aviv UniversityNoga Alon, Princeton University and Tel Aviv UniversityGORE 104Title: List Coloring <br><br> Abstract: The list chromatic number of a graph G is the minimum k so that for every assignment of a list of k colors to any vertex of G there is a vertex coloring assigning to each vertex a color from its list, so that adjacent vertices get distinct colors. This notion was introduced by Vizing and by Erdos, Rubin and Taylor in the late 70s and its study combines combinatorial, probabilistic and algebraic techniques. Its natural extension to hypergraphs is closely related to questions in Euclidean Ramsey Theory. I will discuss several old and new problems and results in the area focusing on a recent work with Briceno, Chandgotia, Magazinov and Spinka motivated by questions in statistical physics regarding vertex colorings of the d-dimensional lattice.11/8/2019 8:30:00 PM11/8/2019 9:30:00 PMFalse
Ridgway Scott from University of ChicagoRidgway Scott from University of ChicagoGORE 104Title: Automated Modeling with FEniCS<br><br> Description: The FEniCS Project develops both fundamental software components and end-user codes to automate numerical solution of partial differential equations (PDEs). FEniCS enables users to translate scientific models quickly into efficient finite element code and also offers powerful capabilities for more experienced programmers. FEniCS and other automated software are catalyzing a change for PDEs similar to the one that Matlab did for linear algebra.<br><br> FEniCS uses the variational formulation of PDEs as a language to define models. We will explain the variational formulations for simple problems and then show how they can be extended to simulate fluid flow. The variational formulation also provides a firm theoretical foundation for understanding PDEs. We argue that combining the theory with practical coding provides a way to teach PDEs, their numerical solution, and associated modeling without requiring extensive mathematical prerequisites. We demonstrate that this approach requires no background in PDEs or finite elements, only multi-variate calculus.<br><br> FEniCS also provides a productive platform for research. We will present examples where it has been used to answer questions that would have required months of programming using traditional techniques. 10/18/2019 7:30:00 PM10/18/2019 8:30:00 PMFalse
Fan Chung, University of California, San DiegoFan Chung, University of California, San DiegoGORE 104Title: Many Facets of Hypercubes <br><br> Description: We will discuss several problems concerning the n-cube and briefly survey some recent developments. We will cover a variety of topics, including Ramsey and Turan problems for hypercubes, isoperimetric properties of hypercubes, routing in hypercubes, and algorithmic aspects. In particular, we will mention a number of unsolved problems and future directions in related areas on hypercubes. 10/4/2019 7:30:00 PM10/4/2019 8:30:00 PMFalse
Sebastian Roch, University of WisconsinSebastian Roch, University of WisconsinGOR 104<br> Title: From genomes to evolutionary trees and beyond <br><br> Abstract: The reconstruction of the Tree of Life is a classical problem in evolutionary biology that has benefited from numerous branches of mathematics, including probability, information theory, combinatorics, and geometry. Modern DNA sequencing technologies are producing a deluge of new genetic data -- transforming how we view the Tree of Life and how it is reconstructed. I will survey recent progress on some statistical questions that arise in this context. <br><br> Refreshments and reception in 536 Ewing Hall • 4:30pm5/10/2019 7:30:00 PM5/10/2019 8:30:00 PMFalse

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  • Department of Mathematical Sciences
  • University of Delaware
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  • Newark, DE 19716, USA
  • Phone: 302-831-2653
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