We are now about 200 years since the introduction of Fourier transform (for functions on the real line). This has become one of the most important tools not only in pure mathematics but also in applied math and engineering. In this talk we will discuss some of its analogues when the real line is replaced by something finite. The two main topics of the talk are: 1) How to write Fourier transform over a symplectic vector space over the field with two elements as a triangular matrix? 2) A nonabelian analogue of Fourier transform (related to representation theory).

George Lusztig, Abdun Nur Professor at the Massachusetts Institute of Technology (MIT). He has made fundamental contributions to representation theory and its interaction with algebraic geometry and algebraic topology. In 1983, Prof. Lusztig was elected as a fellow of the Royal Society. In 1985 He won the Cole Prize (Algebra). He was elected to the National Academy of Sciences in 1992, received the Brouwer Medal in 1999 and received the Leroy P. Steele Prize for Lifetime Achievement in Mathematics in 2008. In 2012 he became a fellow of the American Mathematical Society and in 2014 he received the Shaw Prize in Mathematics.

Zoom Meeting ID：849 963 1368 
Passcode：YMSC

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