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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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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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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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Some congruences and consequences in number theory and beyond

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

November 14, 2019      4:00 pm
Speaker: Ellen Eischen - U Oregon

In the mid-1800s, Kummer observed some striking congruences between certain values of the Riemann zeta function, which have important consequences in algebraic number theory, in particular for unique factorization in...
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