27 citations · 79 across the 14 of their papers we have counts for
18 papers
Quantum as a locally compact quantum group
K. De Commer, G. Schrader, A. Shapiro +1
We construct the first examples of purely continuous, -deformed Lie type locally compact quantum groups in higher rank. They arise from Drinfeld-Jimbo quantization, at unimodula…
The algebraic modular functor conjecture in type quantum Teichmüller theory
Gus Schrader, Alexander Shapiro
Fock and Goncharov introduced a quantization of higher Teichmüller theory using cluster Poisson varieties and their noncommutative deformations, associating to a complex semisimple…
Cluster structure on genus 2 spherical DAHA: seven-colored flower
Semeon Arthamonov, Leonid Chekhov, Philippe Di Francesco +4
We construct an embedding of the Arthamonov-Shakirov algebra of genus 2 knot operators into the quantized coordinate ring of the cluster Poisson variety of exceptional finite mutat…
Ruijsenaars wavefunctions as modular group matrix coefficients
Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin +2
We give a description of the Hallnäs--Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element $S\in SL(2,\mathbb{Z…
Skeins, clusters and wavefunctions
Mingyuan Hu, Gus Schrader, Eric Zaslow
In previous work of the second- and third-named authors with Linhui Shen, cluster theory was used to construct wavefunctions for branes in threespace and conjecturally relate them…
The Chromatic Lagrangian: Wavefunctions and Open Gromov-Witten Conjectures
Gus Schrader, Linhui Shen, Eric Zaslow
Inside a symplectic leaf of the cluster Poisson variety of Borel-decorated local systems on a punctured surface is an isotropic subvariety we will call the chromatic Lagran…
Quantum decorated character stacks
David Jordan, Ian Le, Gus Schrader +1
We initiate the study of decorated character stacks and their quantizations using the framework of stratified factorization homology. We thereby extend the construction by Fock and…
-theoretic Coulomb branches of quiver gauge theories and cluster varieties
Gus Schrader, Alexander Shapiro
For a quiver without 1-cycles, we show that the Braverman--Finkelberg--Najakima quantized -theoretic Coulomb branch algebra of the corresponding quiver gauge…
On -Whittaker functions
Gus Schrader, Alexander Shapiro
The -Whittaker functions are eigenfunctions of the modular -deformed open Toda system introduced by Kharchev, Lebedev, and Semenov-Tian-Shansky. Using the q…
Superintegrability of Generalized Toda Models on Symmetric Spaces
Nicolai Reshetikhin, Gus Schrader
In this paper we prove superintegrability of Hamiltonian systems generated by functions on , restriced to a symplectic leaf of the Poisson variety , where …
Continuous tensor categories from quantum groups I: algebraic aspects
Gus Schrader, Alexander Shapiro
We describe the algebraic ingredients of a proof of the conjecture of Frenkel and Ip that the category of positive representations of the quantum group $U_q(\mathfr…
A cluster realization of from quantum character varieties
Gus Schrader, Alexander Shapiro
We construct an injective algebra homomorphism of the quantum group into a quantum cluster algebra associated to the moduli space of frame…
Dual pairs of quantum moment maps and doubles of Hopf algebras
Gus Schrader, Alexander Shapiro
For any finite-dimensional Hopf algebra there exists a natural associative algebra homomorphism between its Drinfeld double and its Heisenberg double $H(…
Quantum groups, quantum tori, and the Grothendieck-Springer resolution
Gus Schrader, Alexander Shapiro
We construct an algebra embedding of the quantum group into the quantum coordinate ring of the reduced big double Bruhat cell in…
Algebraic integrability of the classical XXZ spin chain with reflecting boundary conditions
Gus Schrader
In this paper we analyze the classical XXZ spin chain with reflecting boundaries. We exhibit a system of log-canonical coordinates on the phase space generalizing Sklyanin's separa…
Integrable systems from the classical reflection equation
Gus Schrader
We construct integrable Hamiltonian systems on , where is a quasitriangular Poisson Lie group and is a Lie subgroup arising as the fixed point set of a group automorph…
The Universal Kummer Threefold
Qingchun Ren, Steven V Sam, Gus Schrader +1
The universal Kummer threefold is a 9-dimensional variety that represents the total space of the 6-dimensional family of Kummer threefolds in 7-dimensional projective space. We com…
XXZ scalar products, Miwa variables and discrete KP
O. Foda, G. Schrader
We revisit the quantum/classical integrable model correspondence in the context of inhomogeneous finite length XXZ spin-1/2 chains with periodic boundary conditions and show that t…