Seminar Calendar
for events the day of Tuesday, January 17, 2012.

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Questions regarding events or the calendar should be directed to Tori Corkery. 
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Tuesday, January 17, 2012

Ergodic Theory
11:00 am   in 347 Altgeld Hall,  Tuesday, January 17, 2012
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Submitted by jathreya.
Bill Mance (Ohio State)
Explicit constructions of $\mu$-normal numbers
Abstract: While there are examples of normal numbers with respect to the b-ary expansions and continued fraction expansion, it has been an open problem to construct normal numbers with respect to many other series expansions. In joint work with Manfred Madritsch we obtain a result that admits explicit constructions of numbers normal with respect to the continued fraction expansion, Luroth series expansion, b-ary expansions, and others.

Harmonic Analysis and Differential Equations
1:00 pm   in 347 Altgeld Hall,  Tuesday, January 17, 2012
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Submitted by tzirakis.
Xuwen Chen (University of Maryland)
The Rigorous Derivation of the 2d Cubic NLS with Anisotropic Switchable Quadratic Traps
Abstract: In this talk, we will explain how the nonlinear Schroedinger equations arises from an experimentally observed phenomenon called Bose-Einstein condensation. We will also present a rigorous derivation of the 2d cubic nonlinear Schroedinger equation with anisotropic switchable quadratic traps from a N-body linear Schroedinger equation.

Logic Seminar
1:00 pm   in 345 Altgeld Hall,  Tuesday, January 17, 2012
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Submitted by phierony.
Michael Tychonievich (Ohio State University)
Metric Properties of Sets Definable in the Expansion of the Real Field by a Logarithmic Spiral
Abstract: We discuss some metric properties of sets definable in certain expansions of the real field, including expansions of the real field by logarithmic spirals. For example, in these structures each bounded definable curve has finite length if and only if the dimension of its frontier is 0.

Mathematics Colloquium - Special Lecture 2011-12
2:00 pm   in 345 Altgeld Hall,  Tuesday, January 17, 2012
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Submitted by kapovich.
Yiqing Chen (University of Liverpool)
Interplay of Dependent Insurance and Financial Risks
Abstract: Consider a discrete-time insurance risk model in which the surplus process incorporates both insurance and financial risks. I will look into the stochastic structure of this surplus process and analyze the interplay of the two types of risks. A brief review of extreme value theory in the actuarial context will be included. This talk is based on my recent paper Chen (2011, Journal of Applied Probability).

Mathematics Colloquium - Special Lecture 2011-12
4:00 pm   in 245 Altgeld Hall,  Tuesday, January 17, 2012
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Submitted by kapovich.
David Treumann (Northwestern University)
Mirror symmetry and constructible sheaves
Abstract: I will give an introduction to the "microlocal" theory of constructible sheaves in the sense of Kashiwara and Schapira, and discuss some recent applications of this theory to Kontsevich's homological mirror symmetry (HMS) conjectures. HMS seeks to relate symplectic geometric objects (such as Lagrangian submanifolds) attached to a symplectic manifold X to complex geometric objects (such as holomorphic vector bundles) attached to a complex manifold Y. The symplectic objects can be described in microlocal terms when X is a cotangent bundle; the cotangent bundle of a compact torus is especially relevant for mirror symmetry. I will discuss the "coherent-constructible correspondence" which matches these objects to coherent sheaves on toric varieties, and an extension of this correspondence to hypersurfaces.