Past Events
I will outline a new algorithm for unknot recognition that runs in quasi-polynomial time. The input is a diagram of a knot with n crossings, and the running time is 2^{O((log n)^3)}. The algorithm uses hierarchies, normal surfaces and Heegaard splittings.
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Abstract: The classical theta correspondence establishes a relationship between automorphic representations on special orthogonal groups and automorphic representations on symplectic groups or their double covers. The correspondence is achieved by using as integral kernel a theta series on the…
I shall discuss sharp moment comparison inequalities (a.k.a. Khinchin inequalities) for weighted sums of i.i.d. random variables of type L (originating in statistical mechanics in Lee-Yang theorems).
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Let (X,D) be a pair of a smooth variety and a normal crossings divisor. The loci of curves that admit a map to X with prescribed tangency along D exhibitsome pathological behavior: for instance, the locus of maps to a product (X \times Y, D \times E) does not coincide with the intersection of…
This will be an introductory talk on a problem in financial mathematics that involves data analysis. Background material and terminology used will be provided and explained.
It is well known empirically that principal eigenportfolios are a good proxy for the market portfolio. I will…
Abstract: In this talk I will present some recent results about the decay of wave equations with visco-elastic dampings.
I will in particular highlight the convergences and differences between this kind of damping and the more classical ones, in terms of
— Propagation of…
In 1958, Blagovest Sendov made the following conjecture: if a polynomial $f$ of degree $n \geq 2$ has all of its zeroes in the unit disk, and $a$ is one of these zeroes, then at least one of the critical points of $f$ lies within a unit distance of $a$. Despite a large amount…
SSV polynomials are a new family of polynomials discovered by Sahi, Stokman, and Venkateswaran, generalizing both Macdonald polynomials and metaplectic Iwahori Whittaker functions. Similarly to both of these families, SSV polynomials satisfy a recursion coming from a Hecke algebra representation…
The Kompaneets equation describes energy transport in low-density (or
high temperature) plasmas where the dominant energy exchange mechanism
is Compton scattering. The equation itself is a one dimensional
non-linear parabolic equation with a diffusion coefficient that vanishes
at…
We define a new family of commuting operators F_k in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that F_2 satisfies "hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured…