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August

Modeling Large Credit Risk Portfolios and Stochastic Correlation

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Prof. Pablo Olivares, Ryerson University. Title: Modeling Large Credit Risk Portfolios and Stochastic Correlation Abstract: In the first part we study how to compute standard risk measures for credit portfolios with a large number of heterogeneous companies using Large Deviation approximation techniques.

September

An application of boundary control method to an inverse problem

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Prof. Julian Edward, Florida International University.   Abstract: Suppose a circular membrane in R^2 has an unknown density whichis radially dependent. Using the boundary control method, we show that this density can be recovered from certain boundary measurements.   Location: DM 409A

Harmonic functions and the geometry of level curves. Part 1 of 2

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Prof. Steve Hudson Abstract: Part I: A survey of geometric results about the zero set of a function u. We consider arc length, curvature and the area enclosed by these sets. We consider several cases, that u is harmonic, an eigenfunction of the Laplacian, or a solution of Schrodinger's equation. [Sept 20] Part II: This part may be more techincal and will focus on recent results of Hudson and De Carli related to area, including some proofs. [Sept 27] Location: DM 409A

Harmonic functions and the geometry of level curves. Part 2 of 2

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Prof. Steve Hudson Abstract: Part I: A survey of geometric results about the zero set of a function u. We consider arc length, curvature and the area enclosed by these sets. We consider several cases, that u is harmonic, an eigenfunction of the Laplacian, or a solution of Schrodinger's equation. [Sept 20] Part II: This part may be more techincal and will focus on recent results of Hudson and De Carli related to area, including some proofs. [Sept 27] Location: DM 409A

Promotion meeting 3:30pm

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Sep. 28, Tuesday, at 3:30 in DM 409. A promotion meeting [to full professor].

October

Seminar Talk by Prof Gueo Grantcharov

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"Quaternions, split quaternions and some geometry (applications)"Mon Oct 4, 1pm in DM409C

Math Club Meeting

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Tues Oct 19 in GC 314 at 3:30 PM.

Seminar talk by Wei Wang

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"An introduction to the discontinuous Galerkin method" by Wei Wang, Oct. 25, 1pm, DM 409C.Abstract: In this talk, I will first give you a background introduction of discontinuous Galerkin (DG) method. Then I will focus on how to apply DG method to a simple 1D hyperbolic equation and give you the analysis on stability and error estimate.

Lecture by J. N. Singh

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KARMARKAR'S ALGORITHM IN LINEAR PROGRAMMING AND IT'S CONTRIBUTIONS TO COMPUTATIONAL OPTIMIZATION - Oct. 26, 3pm, DM 409 B, J. N. Singh ( Barry University), Abstract: In this talk we present various results related to the convergence of iterates, termination of the algorithm and the choice of the step-length parameter of Karmarkar's polynomial-time algorithm in linear programming and indicate some of its recent contributions to computational optimization and computational complexity.

November

Seminar by Mirroslav Yotov

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"Homological Mirror Symmetry and Toric Varieties-Part II" by Mirroslav Yotov. Nov 1, 1pm, DM 409 CIn the talk, we give an overview of the mathematical phenomenon known as Homological Mirror Symmetry, emphasize on the ways one constructs mirror symmetric objects, and explain the role of toric varieties in those constructions.

Paradoxes, randomness, and short descriptions.

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Seminar by Prof D Roy, Nov 8, 2010 @1pm in DM409. Topic: Paradoxes, randomness, and short descriptions.Abstract: In Logic and the theory of computing, some paradoxes have been coded to yield deep results about unsolvable problems and a strong hierarchy of information content. The talk will describe some of these results.

Seminar - James Fullwood, FSU

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String Dualities and Geometry Monday, Nov 15, 1pm-2pm, in DM 409A Abstract: String theory has been physicists' most promising candidate thus far for a quantum theory of gravity. However, as of yet there have been no phenomenological consequences of the theory that can be tested by experiment. As such, many physicists view the theory more as "fancy mathematics" than a physical theory of reality.

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In this talk I will give the definition of Fourier multiplier and I will provide some basic example and counterexamples. In particular I will show that the characteristic function of the sphere is not a Fourier multiplier. This is a celebrated result of C. Fefferman (1971). Then I will define the Cauchy transform on a cone and I will show some new result on the L^p boundness of this operator. I will also present a number of open problems and possible direction of research in this fiel