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Many-body localization near the critical point

MATHEMATICAL PICTURE LANGUAGE

February 9, 2021      10:00 am
Speaker: John Imbrie - University of Virginia

I will examine the many-body localization (MBL) phase transition in one-dimensional quantum systems with quenched randomness. Having demonstrated the existence of the MBL phase at strong disorder, under a level-statistics...
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Some applications of Vojta’s conjecture to arithmetic dynamics

ALGEBRAIC DYNAMICS

February 5, 2021      10:00 am
Speaker: Yohsuke Matsuzawa - Brown University

I will discuss applications of Vojta's conjecture to some problems in arithmetic dynamics, concerning the growth of sizes of coordinates of orbits, greatest common divisors among coordinates, and prime factors of...
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