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Many-body localization near the critical point


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


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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Analytic geometry


February 3, 2021      3:00 pm
Speaker: Peter Scholze - University of Bonn

We will outline a definition of analytic spaces that relates to complex- or rigid-analytic varieties in the same way that schemes relate to algebraic varieties over a field. Joint with...
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CMSA Strongly Correlated Quantum Materials and High-Temperature Superconductors Series: Beyond BCS: An Exact Model for Superconductivity and Mottness


February 3, 2021      10:30 am
Speaker: Philip Phillips - University of Illinois Urbana-Champaign

High-temperature superconductivity in the cuprates remains an unsolved problem because the cuprates start off their lives as Mott insulators in which no organizing principle such a Fermi surface can be invoked to treat ...
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CMSA Computer Science for Mathematicians: Counting cliques in real-world graphs


February 2, 2021      11:30 am
Speaker: Shweta Jain - University of Illinois, Urbana-Champaign

Cliques are important structures in network science that have been used in numerous applications including spam detection, graph analysis, graph modeling, community detection among others. Obtaining the counts of k-cliques in real-world graphs with millions of nodes and edges is a...
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