HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN, COLLOQUIUMS
December 9, 2021 4:30 pmThe dynamical degree of an invertible self-map of projective space is an asymptotic measure of the algebraic complexity of the iterates of the map. This numerical invariant controls many aspects...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN, COLLOQUIUMS
October 7, 2021 4:30 pmFor a fixed prime p and large n, what is the largest size of a subset of \mathbb{F}_p^n which does not contain a non-trivial solution to some given linear equation...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN, COLLOQUIUMS
September 30, 2021 4:30 pmThe field of Geometric Set Theory studies structures on sets of countable objects (typically Polish spaces) by considering virtual objects, typically uncountable sets representing members of the space under consideration...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
April 15, 2021 4:30 pmI’ll discuss recent work using tropical techniques to find new rational cohomology classes in moduli spaces A_g of abelian varieties, building on previous joint work with Galatius and Payne on M_g. I...
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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
April 1, 2021 4:30 pmMany 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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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
November 12, 2020 4:30 pmA 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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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
October 22, 2020 4:30 pmThere 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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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
February 27, 2020 4:30 pmThe 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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HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN
November 14, 2019 4:00 pmIn 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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