Department of

# Mathematics

Seminar Calendar
for Mathematics in Science and Society events the year of Tuesday, November 14, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     October 2017          November 2017          December 2017
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6  7             1  2  3  4                   1  2
8  9 10 11 12 13 14    5  6  7  8  9 10 11    3  4  5  6  7  8  9
15 16 17 18 19 20 21   12 13 14 15 16 17 18   10 11 12 13 14 15 16
22 23 24 25 26 27 28   19 20 21 22 23 24 25   17 18 19 20 21 22 23
29 30 31               26 27 28 29 30         24 25 26 27 28 29 30
31


Wednesday, November 1, 2017

4:00 pm in 314 Altgeld Hall ,Wednesday, November 1, 2017

#### Lewis Carroll in Numberland

###### Robin Wilson   [email] (Open University and Gresham College)

Abstract: If Charles Dodgson (Lewis Carroll) hadn’t written Alice’s Adventures in Wonderland and Through the Looking-Glass, he’d probably be remembered as a pioneer photographer – and also as a mathematician? But what mathematics was he interested in? – and how good was he? In this talk I summarize his mathematical life and works in the context of the world of Victorian Oxford – with particular reference to his work in Euclidean geometry, algebra, the theory of voting, and logic.  Robin Wilson is an Emeritus Professor of Pure Mathematics at the Open University, Emeritus Professor of Geometry at Gresham College, London, and a former Fellow of Keble College, Oxford University. He is currently a Visiting Professor at the London School of Economics. A former President of the British Society for the History of Mathematics, he has written and edited about 40 books on the history of mathematics, including 'Lewis Carroll in Numberland', and also on graph theory, including 'Introduction to Graph Theory' and 'Four Colours Suffice'. Involved with the popularization and communication of mathematics and its history, he has been awarded the Mathematical Association of America’s Lester Ford award and Pólya prize for his ‘outstanding expository writing’.

Tuesday, November 14, 2017

4:00 pm in 245 Altgeld Hall,Tuesday, November 14, 2017

#### Nonlinear dispersive equations on large domains and wave turbulence

###### Zaher Hani   [email] (Georgia Institute of Technology)

Abstract: In this talk, we will be mainly concerned with the following question: Suppose we consider a nonlinear dispersive or wave equation on a large compact domain of characteristic size L. What is the effective dynamics when L is very large? This question is relevant for equations that are naturally posed on large domains (like the water waves equation on the ocean), and in turbulence theories for dispersive equations. It’s not hard to see that the answer is intimately related to the particular time scales at which we study the equation, as one often obtains different effective dynamics on different timescales. After discussing some relatively “trivial” time scales (and their corresponding effective dynamics), we shall attempt to access longer times scales and try to describe the effective equations that govern the dynamics there. The ultimate goal is to reach the so-called the “kinetic time scale” over which it is conjectured that the effective dynamics are described by a kinetic equation called the “wave kinetic equation”. This is the main claim of wave turbulence theory. We will discuss several results that are aimed at addressing the above problematic for the nonlinear Schrodinger equation. Recent results are joint works with Tristan Buckmaster, Pierre Germain, and Jalal Shatah.