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Loop-erased random walk—a random fractal

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

April 1, 2021      4:30 pm
Speaker: Greg Lawler - University of Chicago

Many models in equilibrium statistical physics produce random fractal curves “at criticality.”  I will discuss one particular model, the loop-erased random walk, which is closely related to uniform spanning trees...
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Special Colloquium

COLLOQUIUMS

March 22, 2021      3:00 pm
Speaker: Anna Gilbert - Yale University

Title: Metric representations: Algorithms and Geometry Abstract: Given a data set or a set of distances amongst data points, determining what combinatorial representation is most “consistent” with the input distances or...
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Special Colloquium

COLLOQUIUMS

March 16, 2021      3:00 pm
Speaker: Jian Ding - University of Pennsylvania, Wharton

Title: Recent progress on random field Ising model Abstract: Random field Ising model is a canonical example to study the effect of disorder on long range order. In 70's, Imry-Ma...
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Special Colloquium

COLLOQUIUMS

March 8, 2021      3:00 pm
Speaker: Melissa (Chiu-Chu) Liu - Columbia University

Title: Topological Recursion and Enumerative Geometry Abstract: Given a holomorphic curve in the complex 2-plane together with a suitably normalized symmetric meromorphic bilinear differential, the Chekhov-Eynard-Orantin Topological Recursion defines an infinite sequence of symmetric...
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Special Colloquium

COLLOQUIUMS

March 1, 2021      3:00 pm
Speaker: Ankur Moitra - MIT

Title: Robustness Meets Algorithms Abstract: Starting from the seminal works of Tukey (1960) and Huber (1964), the field of robust statistics asks: Are there estimators that probably work in the...
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Special Colloquium

COLLOQUIUMS

February 23, 2021      3:00 pm
Speaker: Allan Sly - Princeton University

Title: Replica Symmetry Breaking for Random Regular NAESAT Abstract: Ideas from physics have predicted a number of important properties of random constraint satisfaction problems such as the satisfiability threshold and...
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Positive solutions of sparse polynomial systems

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

November 12, 2020      4:30 pm
Speaker: Alicia Dickenstein - Universidad de Buenos Aires

A multidimensional polynomial system is said to be sparse when the monomials present in the polynomials are fixed a priori. I will present classic and recent upper and lower bounds...
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Large deviations for lacunary trigonometric sums

COLLOQUIUMS

November 5, 2020      4:30 pm
Speaker: Kavita Ramanan, Roland George Dwight Richardson University Professor of Applied Mathematics - Brown University

Lacunary trigonometric sums are known to exhibit several properties that are typical of sums of iid random variables such as the central limit theorem, established by Salem and Zygmund, and...
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Galois symmetries of the stable homology of integer symplectic groups

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

October 22, 2020      4:30 pm
Speaker: Akshay Venkatesh - Institute for Advanced Study

There are many natural sequences of moduli spaces in algebraic geometry whose homology approaches a "limit", despite the fact that the spaces themselves have growing dimension.  If these moduli spaces...
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Structure theorems for actions of diffeomorphism groups

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

February 27, 2020      4:30 pm
Speaker: Kathrynn Mann - Cornell University

The groups of homeomorphisms or diffeomorphisms of a manifold have many striking parallels with finite dimensional Lie groups. In this talk, I'll describe some of these, and explain new work,...
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