Miroslav Rapcak (Perimeter) “Vertex Operator Algebras via Topological Vertex Like Construction”
ABSTRACT: Y-algebras form a four parameter family of vertex operator algebras associated to Y-shaped junctions of interfaces in N=4 super Yang-Mills theory. One can glue such Y-shaped junctions into the more complicated webs of interfaces. Corresponding vertex operator algebras can be identified with conformal extensions of tensor products of Y-algebras associated to the trivalent junctions of the web by fusions … Read More
Piotr Sulkowski (U. of Warsaw, Caltech) “Knots-quivers correspondence”
ABSTRACT: I will present a surprising relation between knot invariants and quiver representation theory, motivated by various string theory constructions involving BPS states. Consequences of this relation include the proof of the famous Labastida-Marino-Ooguri-Vafa conjecture (at least for symmetric representations), explicit (and unknown before) formulas for colored HOMFLY polynomials for various knots, new viewpoint on knot homologies, a novel type … Read More
Pietro Longhi (Uppsala U.), “BPS Graphs of Class S Theories”
ABSTRACT: BPS quivers and Spectral Networks are two powerful tools for computing BPS spectra in 4d N=2 theories. On the Coulomb branches of these theories, the BPS spectrum is well-defined only away from walls of marginal stability, where wall-crossing phenomena take place. Surprisingly, while BPS spectra are ill-defined, there is a lot of information hidden in spectral networks at maximal … Read More
Vasily Pestun (IHES), “Periodic monopoles and qOpers”
ABSTRACT: I will discuss quantization of integrable system of periodic monopoles, or equivalently group valued Higgs bundles on a curve, and construction of q-oper Lagrangian variety in the special coordinates.
Special Semester Seminar: Nora Ganter (The University of Melbourne), “The Geometry of equivariant elliptic cohomology”
Abstract: I will give an introduction to the construction of equivariant elliptic cohomology and then talk about some recent geometric approaches to the subject. SPECIAL SEMINAR AT SPECIAL LOCATION: MSRI
Roman Bezrukavnikov (Massachusetts Institute of Technology), “Quantization in positive characteristic, canonical bases and central charge”
SPECIAL SEMESTER SEMINAR AT SPECIAL LOCATION: MSRI
Bernd Siebert (Universität Hamburg), “Some enumerative problems in toric degenerations”
SPECIAL SEMESTER SEMINAR AT SPECIAL LOCATION: MSRI
Sergei Gukov (California Institute of Technology), “Characters, Categorification, Curve Counting”
SPECIAL SEMESTER SEMINAR AT SPECIAL LOCATION: MSRI
Joerg Teschner (Universität Hamburg), “From quantum curves to partition functions”
Alexei Oblomkov (University of Massachusetts Amherst), “Virasoro constraints for Pandharipande-Thomas theory”
ABSTRACT: Talk is based on the joint work with Okounkov and Pandharipande. In my talk I will state conjectural Virasoro constraints for PT theory. For toric varieties the stationary version of the constraint is derived from the Gromov-Witten constraints. I will explain the GW/PT correspondence that relates the constraints.