
Explore recent developments in generalised norm resolvent convergence, focusing on operators in different Hilbert spaces with illustrative examples.

Explore canonical systems with 2p×2p Hamiltonians, solving direct and inverse problems using Titchmarsh-Weyl functions and S-nodes. Learn construction procedures and high energy asymptotics of Weyl functions.

Explore inverse spectral theory for generalized indefinite strings and its application to the conservative Camassa-Holm flow, focusing on characterizing spectral measures and Weyl-Titchmarsh functions.

Explore polaron models at weak coupling, focusing on the absence of excited eigenvalues below the essential spectrum in Fröhlich-type systems at zero total momentum.

Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.

Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.

Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into their intricate connections and applications in algebraic geometry and representation theory.

Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.

Explore numerical methods and quantum many-body dynamics with Frank Pollmann. Gain insights into advanced physics concepts and computational techniques for studying complex quantum systems.

Explore geometric and analytic aspects of the Quantum Hall effect, delving into chiral anomaly, topological field theory, and topological states of matter.

Explore integrability in condensed matter physics and quantum field theory through the quantum deformed Haldane Shastry model at q=i.

Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.

Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.

Explore axion insulators and their topological invariants with Bernardo Uribe, delving into advanced concepts in noncommutative geometry and condensed matter physics.

Explore q-analogues of Poincaré distributions on the upper half plane, delving into mathematical concepts and their applications in geometric analysis.

Explore GKP Codes for fault-tolerant quantum computation, examining logical Clifford gates, complex elliptic curves, and geometric understanding of fault-tolerance. Discover connections between physics and modern mathematics.

Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.

Explorez les différentes incarnations de la catégorie de Hecke affine dans le cadre de la théorie des représentations quantiques.

Explore quantum category O and affine Hecke category in representation theory with Yale University's I. Losev at the Quantum Topobology Biennial.

Explore categorified traces and colored SL_2 knot homology in quantum topology, focusing on representation theory applications.