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Series: Other Talks

In the lecture I will describe how several questions in geometric combinatorics translate into questions about graphs and hypergraphs. 1. Borsuk's problem. 2. Tverberg theorem and Tverberg's type problems. Tverberg's theorem asserts that (r-1)(d+1)+1 points in d-space can be divided into r parts whose convex hull intersect. I will discuss situations where less points admit such a partition and connections with graph theory. (For more background, look at this MO question Tverberg partitions with less than (r-1)(d+1)+1 points<http://mathoverflow.net/questions/88718/tverberg-partitions-with-less-than-r-1d11-points> ) 3. Helly type theorems and conditions on induced subgraphs and sub-hypergraphs. I will explain the origin to the following conjecture of Meshulam and me: There is an absolute upper bound for the chromatic number of graphs with no induced cycles of length divisible by 3. 4. Embedding of 2-dimensional complexes and high dimensional minors. I will discuss the following conjecture: A 2-dimensional simplicial complex with E edges and F 2-dimensional faces that can be embedded into 4-space satisfies F < 4e. (For more background see my post *F ≤ 4E*<http://gilkalai.wordpress.com/2013/02/01/f-4e/> )

Series: Other Talks

The purpose of the GSC Symposium is to provide an opportunity for professors, postdocs, and graduate students in the Atlanta area to meet in an informal setting, to exchange ideas, and to highlight local scientific computing research. Certainly, the symposium is open to whole mathematics and computer sciences communities.
The previous meetings were held at Emory University (2009), Georgia Institute of Technology (2010), Emory University (2011) and University of Georgia (2012). The 2013 GSC Symposium will be held at the Georgia State University campus and is organized by Alexandra Smirnova and Vladimir Bondarenko in the Department of Mathematics and Statistics, Georgia State.
The following researchers have agreed to give invited plenary lectures:
Hao Gao, Department of Mathematics and Computer Science, Department of Radiology and Imaging Sciences, Emory University;
Guillermo Goldsztein, School of Mathematics, Georgia Institute of Technology;
Yi Jiang, Department of Mathematics and Statistics, Georgia State University;
Caner Kazanci, Department of Mathematics, University of Georgia;
Brani Vidakovic, College of Engineering, Georgia Institute of Technology.
There will be poster sessions. Anyone attending this symposium may present a poster. We especially encourage graduate students and postdocs to use this opportunity displaying their research results. Please register at the Symposium
website.

Series: Other Talks

We will discuss the details of the Markov bases chapter not covered in the previous talks.(Algebraic statistics reading seminar)

Series: Other Talks

Hosted by the School of Computational Science and Engineering

As the term "big data'' appears more and more frequently in our daily life
and research activities, it changes our knowledge of how large the scale of
the data can be and challenges the application of numerical analysis for
performing statistical calculations. In this talk, I will focus on two basic
statistics problems sampling a multivariate normal distribution and maximum
likelihood estimation and illustrate the scalability issue that dense
numerical linear algebra techniques are facing. The large-scale challenge
motivates us to develop scalable methods for dense matrices, commonly seen
in statistical analysis. I will present several recent developments on the
computations of matrix functions and on the solution of a linear system of
equations, where the matrices therein are large-scale, fully dense, but
structured. The driving ideas of these developments are the exploration of
the structures and the use of fast matrix-vector multiplications to reduce
the general quadratic
cost in storage and cubic cost in computation. "Big data'' offers a fresh
opportunity for numerical analysts to develop algorithms with a central goal
of scalability in mind. It also brings in a new stream of requests to high
performance computing for highly parallel codes accompanied with the
development of numerical algorithms. Scalable and parallelizable methods are
key for convincing statisticians and practitioners to apply the powerful
statistical theories on large-scale data that they currently feel
uncomfortable to handle.

Series: Other Talks

(algebraic statistics reading seminar)

Series: Other Talks

Emory University, the Georgia Institute of Technology and Georgia State
University, with support from the National Security Agency and the
National Science Foundation, are hosting a series of mini-conferences.
The eighth in the series will be held at Georgia State University on
February 9 -10, 2013. This mini-conference's featured speaker is Dr.
Van Vu, who will give two one-hour lectures. There will be
five one-hour talks and a number of half-hour talks given by other
invited speakers.
For more info, check
titles, abstracts, and schedule.

Series: Other Talks

School of Computational Science and Engineering job candidate talk

Metallic glasses are a new type of alloy whose atoms have an amorphous
arrangement in contrast to most metals. They have many favorable properties
such as excellent wear resistance and high tensile strength, but are prone
to breakage in some circumstances, depending on their method of
preparation. The talk will describe the development of a quasi-static
projection method within an Eulerian finite-difference framework, for
simulating a new physical model of a metallic glass. The simulations are
capable of resolving the multiple timescales that are involved, and provide
an explanation of the experimentally observed differences in breakage
strength, which may aid in the use of these materials in practical
applications. The same Eulerian simulation framework can be adapted to
address a variety of other problems, such as fluid-structure interaction,
and the mechanical modeling of multicellular clusters.

Series: Other Talks

(algebraic statistics reading seminar)

Series: Other Talks

(algebraic statistics reading seminar)

Series: Other Talks

Mr. Crawford grew up near Philadelphia and has a B.S. in Applied Mathematics

from Georgia Tech. He served as an Air Force officer, retiring as a colonel in

1996. In addition to being a member of Georgia Battlefields Association and the

Civil War Round Table of Atlanta, Charlie is a life member of the Civil War

Trust.

Charlie Crawford, president of Georgia Battlefields Association, explores the
significance of the fall of Atlanta to Lincoln's re-election as President and
examines George Barnard's photographic documentation of the battlefields around
Atlanta. Crawford will discuss how land that is now a part of Georgia Tech's
campus was once the site of Confederate and Federal fortifications.
As president of Georgia Battlefields Association, a non-profit battlefield
preservation group, Mr. Crawford has made over 95 presentations and led over 35
tours relating to the Civil War in Georgia.