Elise LePage (Columbia University) “Categorified representations of quantum groups from Fukaya-Seidel categories of Coulomb branches”
Abstract: Cyclotomic KLRW algebras are known to categorify tensor products of irreducible representations of quantum groups. I will explain how these algebras arise as endomorphism algebras of Lagrangians in additive Coulomb branches. There are generalizations of KLRW algebras that categorify arbitrary tensor products of Verma modules and irreducible representations of quantum groups. I will define these algebras (which were previously … Read More
Rob Myers (Perimeter Institute) “Flat Space Entanglement: A Coulomb Branch Perspective”
We revisit Dp-brane holography, constructing Coulomb-branch solutions that describe a spherical shell of Dp-branes. The resulting throat geometries contain a flat-space bubble in the infrared region, providing a concrete framework for exploring entanglement in flat-space holography. We argue that the presence of the flat-space bubble leads to an overall reduction in entanglement and a corresponding decrease in the effective number … Read More
Vivian Gao (UCSB) “Monopole phenomenology from the electroweak anomaly”
Abstract: Magnetic monopoles are well known to catalyze baryon number violating processes in grand unified theories through the Callan–Rubakov effect. More generally, however, monopoles participating in the electroweak anomaly can catalyze processes with ΔB=ΔL=3. In this talk, I will present a first phenomenological exploration of such monopole-induced processes in different physical settings. I will highlight the experimental signatures that arise … Read More
Andrew Hanlon (U. Oregon) “Derived categories of toric varieties via mirror symmetry”
Abstract: Beilinson’s resolution and full strong exceptional collection of line bundles for the derived category of projective space are incredibly useful computational tools. In recent work with many collaborators, we have shown that much of this structure persists for more general toric varieties. Namely, they admit short explicit resolutions of the diagonal by direct sums of line bundles and their derived … Read More
Joey Takach (UCB) “Continuous Quantum Measurement of Axions”
Abstract: If we model the axion field quantum mechanically, how do the statistics of a continuous readout from a resonant detector change? In this talk, I demonstrate how to approach this question with the use of phase space representations, and show that the deviation from a classical treatment depends on both the DM state and the type of measurements being … Read More
Vivek Shende (UCB) “Fukaya categories and higher representation theory”
Abstract: I’ll explain how the Fukaya categories of Zastava organize many old and new structures of the representation theory of categorified quantum groups. This is a report on joint work with Mina Aganagic, Elise LePage, and Peng Zhou.
Pavlos Vranas (LLNL) “Hyper Stealth Dark Matter, a Composite Particle at a Few GeV, and Lattice Simulations on Exascale Supercomputers”
The Hyper Stealth Dark Matter model extends the Standard Model by a confining SU(ND) force to U(1) × SU(2) × SU(3) × SU(ND). The new sector equilibrates with the Standard Model only through electroweak interactions and without any mediator fields. The dark matter particle is the lightest SU(ND) baryon, is almost an electroweak singlet, and can have a surprising low … Read More