Seminars and Colloquia by Series

Wednesday, October 1, 2014 - 12:00 , Location: Skiles 005 , Ionel Popescu , Georgia Tech Math Department , Organizer: Alexander Hoyer
This talk is intended to be a cocktail of many things.  I will start with standard random matrices (called GUE in the slang) and formal computations which leads one to the main problem of counting planar diagrams.  This was done by physicists, though the main computation of generating functions for such planar diagrams go through an analytic tools.  Here I will change the topic to analysis, and get through with the help of Chebyshev polynomials and how these can be used to solve a minimization problem and then from there to compute several generating functions of planar diagrams.   Then I will talk about tridiagonalization which is a main tool in matrix analysis and point out an interesting potential view on this subject.
Wednesday, September 17, 2014 - 12:00 , Location: Skiles 005 , D. Lubinsky , Georgia Tech Math Department , Organizer: Alexander Hoyer
There is a long standing asymptotic relationship in several areas of analysis, between polynomials and entire functions of exponential type. Many extremal problems for polynomials of degree n turn into analogous extremal problems for entire functions of exponential type, as the degree n approaches infinity. We discuss some of the old such as Bernstein's constant on approximation of |x|, and recent work on Plancherel-Polya and Nikolskii inequalities.
Wednesday, September 3, 2014 - 12:00 , Location: Skiles 005 , Dr. Dan Margalit , Georgia Tech Math Department , Organizer: Alexander Hoyer
Here is a classical theorem.  Consider a bijection (just a set map!) from the Euclidean plane to itself that takes 0 to 0 and takes the points on an arbitrary line to the points on a (possibly different line).  The theorem is that such a bijection always comes from a linear map.  I'll discuss various generalizations of this theorem in geometry, topology, and algebra, ending with a discussion of some recent, related research on the topology of surfaces.
Wednesday, August 27, 2014 - 12:00 , Location: Skiles 005 , Dr. Matthew Clark , Northrop Grumman, Future Technical Leaders (FTL) Program , Organizer: Alexander Hoyer
Have you heard the urban legend that an experienced college recruiter can make an initial decision on whether or not to read your resume in less than six seconds? Would you like to see if your current resume can survive the six-second glance? Would you like to improve your chances of surviving the initial cut? Do you know what happens to your resume once you hand it to the recruiter? Should you have different resumes for online submission and handing to decision makers? How many different resumes should you prepare before you go to the career fair? Does it really take 30 revisions of your resume before it is ready to be submitted? Dr. Matthew Clark has supported college recruiting efforts for a variety of large corporations and is a master at sorting resumes in six seconds or under. Join us for a discussion of how most industry companies handle resumes, what types of follow up activities are worth-while, and, how to improve your chances of having your resume pass the “six second glance”.
Thursday, May 1, 2014 - 13:00 , Location: Skiles 006 , Dr. Gunnar Carlsson , Stanford University , Organizer:

Note: This is a special time for Research Horizons.

Special seminar title: The idea of studying the geometry and topology of finite metric spaces has arisen due to the fact that almost all kinds of data sets arising in science or the commercial world are equipped with a metric. This has led to the development of cohomology theories applicable to finite metric spaces, which allow one to construct "measurements" of the shape of the data sets. We will define these theories and discuss their properties. We will also describe their applications, and suggest directions of future research on them.
Wednesday, April 16, 2014 - 12:00 , Location: Skiles 005 , Dr. Laguna , School of Physics , Organizer:
Numerical relativity has opened the door to unveil phenomena associated with strong dynamical gravity. I will present results from three studies of black holes that have been only possible thanks to state of the art computational tools and powerful computer hardware.
Wednesday, April 9, 2014 - 12:00 , Location: Skiles 005 , Dr. Wick , School of Math , Organizer:
An important question in modern complex analysis is to obtain a characterization of the sequence of points in the disc {z_j} that interpolates any given target sequence {a_j} with an element of a space of analytic functions. In this talk we will discuss this question and reformulate it as a problem in linear algebra and then show how this can be solved with relatively straightforward tools. Connections to open questions will also be given.
Wednesday, April 2, 2014 - 12:05 , Location: Skiles 005 , Dr. Kang , School of Mathematics , Organizer:
This talk is an introduction to mathematical approaches to image processing: using variational approaches and PDE based method. Various problems and a few different approaches will be introduced.
Wednesday, March 12, 2014 - 12:00 , Location: Skiles 005 , Dr. Sal Barone , School of math , Organizer:
We will discuss a few introductory results in real algebraic geometry concerning semi-algebraic sets. A semi-algebraic subset of R^k is the set of solutions of a boolean combination of finitely many real polynomial equalities and inequalities. These sets arise naturally in many areas of mathematics as well as other scientific disciplines, such as discrete and computational geometry or the configuration spaces in robotic motion planning. After providing some basic definitions and examples, we will outline the proof of a fundamental result, the Oleinik-Petrovsky-Thom-Milnor bound of d(2d-1)^{k-1} on the sum of the Betti numbers of a real algebraic variety, as well as indicate the direction of recent and ongoing research generalizing this result.
Wednesday, March 5, 2014 - 12:00 , Location: Skiles 005 , Dr. Bickel , School of Math , Organizer:
The classic Pick Interpolation Problem asks: Given points z_1, z_n and w_1, w_n in the unit disk, is there a function f(z) that (1) is holomorphic on the unit disk, (2) satisfies f(z_i)=w_i, and (3) satisfies |f(z)|=1 In 1917, Pick showed that such a function f(z) exists precisely when an associated matrix is positive semidefinite. In this talk, I will translate the Pick problem to the language of Hilbert function spaces and present a more modern proof of the Pick problem. The benefit of this approach is that, as shown by J. Agler in 1989, it generalizes easily to the two-variable setting. At the heart of the proof is a method of representing bounded analytic one and two-variable functions using Hilbert space operators. Time-permitting, I will discuss recent results concerning the structure of such representations for bounded two-variable analytic functions, which is joint work with G. Knese.

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