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Texas A&M University
Mathematics

Events for 04/17/2019 from all calendars

Number Theory Seminar

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Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Rizwan Khan, University of Mississippi

Title: Non-vanishing of Dirichlet L-functions

Abstract: L-functions are fundamental objects in number theory. At the central point s = 1/2, an L-function L(s) is expected to vanish only if there is some deep arithmetic reason for it to do so (such as in the Birch and Swinnerton-Dyer conjecture), or if its functional equation specialized to s = 1/2 implies that it must. Thus when the central value of an L-function is not a "special value", and when it does not vanish for trivial reasons, it is conjectured to be nonzero. In general it is very difficult to prove such non-vanishing conjectures. For example, nobody knows how to prove that L(1/2, chi) is nonzero for all primitive Dirichlet characters chi. In such situations, analytic number theorists would like to prove 100% non-vanishing in the sense of density, but achieving any positive percentage is still valuable and can have important applications. In this talk, I will discuss recent work on establishing such positive proportions of non-vanishing for Dirichlet L-functions.

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Committee P Meeting

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Time: 4:00PM - 5:00PM

Location: BLOC 220


AMUSE

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Time: 6:00PM - 7:00PM

Location: BLOC 220

Speaker: Todd Schrader, Department of Mathematics, TAMU

Title: All About Actuaries

Abstract: Whether helping plan for a foreseeable event such as retirement, or a surprise cost such as a hospitalization or environmental catastrophe, actuaries measure risk and help companies prepare for the future. In this talk we will look into the various roles actuaries play, as well as the path to becoming an actuary and the math you need to learn along the way.