AMR-RMA
Recent Mathematical Advances Distinguished Lecture Series
March 30, 2023
9:00 AM (Los Angeles), 12:00 PM (Montreal, New York), 5:00 PM (London) 6:00 PM (Madrid, Paris) 7:00 PM (Tel-Aviv)
Svetlana Jitomirskaya
UC Irvine & Georgia Tech
Multiplicative Jensen's formula, dual Lyapunov exponents, and global theory of one-dimensional analytic quasiperiodic operators
Abstract
We will briefly review the main concepts and fascinating physics background of one-dimensional analytic quasiperiodic operators and related cocycles. We will then present the highlights of our joint work with Lingrui Ge, Jiangong You, and Qi Zhou on a non-commutative generalization of the classical Jensen’s formula, and explain how it helps us to uncover the mystery of Avila’s global theory and prove a number of global spectral corollaries.
About the speaker
Svetlana Jitomirskaya, Distinguished Professor of mathematics at the University of California, Irvine, and Hubbard Chair Professor at Georgia Tech, was born in Kharkiv in a family of mathematicians. She received her Ph.D. in Moscow in 1991 under the supervision of Yakov Sinai. She is famous for her contributions to the spectral theory of almost-periodic Schrödinger operators and related questions in dynamical systems, including a solution (with Avila) of the Ten Martini problem. Prof. Jitomirskaya was an invited speaker at ICM 2002 and a plenary speaker at ICM 2022. She is a member of the American Academy of Arts and Sciences (2018) and the National Academy of Sciences (2022). She was awarded the Ruth Lyttle Satter Prize in Mathematics (2005), Dannie Heineman Prize for Mathematical Physics (2020), and the Ladyzhenskaya Prize in Mathematical Physics (2022)
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