Friday, February 20th, 2015

Student Talk Series: Sam Gross, Bloomsburg University, February 26th in Olin 268 @ noon

Title: 49598666989151226098104244512918 Abstract: This seemingly random number answers a question investigated by A. Cohn circa 1909, and makes a connection between prime numbers and irreducible polynomials (although the number is obviously not prime itself!). Time permitting, we will discuss other potential connections between prime numbers and polynomials.

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Thursday, February 19th, 2015

Distinguished Visiting Professor Talk Series: Nicolas Sirolli, Universidad de Buenos Aires, Febuary 19th @4pm in Olin 372

Title: A Cohomological Interpretation of the Class Group Abstract: The celebrated Class Number Formula, which dates from the nineteenth century, relates the residue of the Dedekind Zeta function of a number field to the order of its class group, among its other main invariants. According to the Birch and Swinnerton-Dyer conjecture, one of the Millenium Problems, there should be a notably similar formula relating the main arithmetic invariants of an elliptic curve to a certain derivative of its L-function. One of these is the (conjecturally finite) order of its Tate-Shafarevich group, which arises from considering the cohomology of the Galois group acting […]

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Thursday, February 19th, 2015

Distinguished Visiting Professor Talk Series: Nicolas Sirolli, Universidad de Buenos Aires, Febuary 11th @4pm in Olin 372

Title: From Congruent Numbers to Modular Forms Abstract: A positive integer is called a congruent number if it is the area of a right triangle with rational sides. The problem of giving a criterion for deciding if a number is congruent has been open for hundreds of years. The best answer known was given by Tunnell in 1983, using many deep results from modern Number Theory. His work will give a completely satisfactory answer, once the Birch and Swinnerton-Dyer conjecture gets proved. In this talk we will introduce, in a way as friendly as possible, the main ingredients needed to understand Tunnell’s […]

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Monday, February 2nd, 2015

Student Talk Series: John Klobusicky, Geisinger Health Systems, February 5th, Olin 268 @ noon

Title: Piecewise Deterministic Markov Processes and Metal Grain Coarsening Abstract: In material science, individual metal grains obey surprisingly simple rules.  However, geometric considerations can create difficulties when attempting to analyze the bulk properties of metals.  In this talk, we’ll describe a mean field model using piecewise deterministic Markov processes which converts the geometric problem of grain evolution to one of analysis and stochastic processes.  In particular, we’ll show that densities of grains approach a law of large numbers described by a partial differential equation.

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Monday, February 2nd, 2015

Joint Talk with Management: Anne Robinson and John Williamson, Verizon Wireless, February 5th, Rooke CHEM 116 @ 3pm

Title: How Analytics Professionals Make the World Go Round Abstract: It’s hard to open a business magazine, walk through an airport or even participate in an executive meeting and NOT see or hear reference to analytics. Recognized as the currency of business, mathematics or analytics are empowering decision-making at new levels. A trend that started with CIOs is spreading throughout the C-Suite – Everyone wants ANALYTICS!   What exactly are these analytics professionals doing? What types of real-world problems are they solving? Are they actually applying the math, statistics and operations research tools they learned in their courses? What other skills […]

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