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Topological nodal line semimetals can host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this talk, I will show how to use the Jones polynomial (wh...
Hermitian forms for Sp(4, R)     Hermitian forms  Sp(4, R)       2015/9/28
Basic references are Vogan’s notes on Sp(4, R): [?] (branching) and [?] (Hermitian forms). In fact these notes are largely a rewriting of [?] in more explicit atlas terms.
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. In the case of real groups, the results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. This conforms to the Lefschetz principle which states that what is true for real groups is al...
It is a classical result of Ginibre that the normalized bulk $k$-point correlation functions of a complex $n \times n$ gaussian matrix with independent entries of mean zero and unit variance are asymp...
We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least ...
Abstract: This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated func...
Abstract: Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entir...
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.
Abstract: We formulate six-dimensional Euclidean gravity as SU(4)=SO(6) Yang-Mills gauge theory. For that purpose we devise a six-dimensional version of the 't Hooft symbols which realizes the isomorp...
Abstract: Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermit...
Abstract: A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of mult...
We consider the limiting location and limiting distribution of the largest eigenvalue in real symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models with rank 1 e...
A class of non-Hermitian quadratic su(2) Hamiltonians that ful l an anti-linear symmetry is constructed. If unbroken this anti-linear symmetry leads to a purely real spectrum and the Hamiltonian can b...

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