タイトル：Quiver Quantum Toroidal Algebra and Crystal Representations
アブストラクト：This talk is based on arxiv:2101.03953, 2108.07104, and 2109.02045.

We propose a new class of algebras, Quiver Quantum Toroidal Algebra, a generalization of Quantum Toroidal $gl_1$. It is known that Quantum Toroidal $gl_1$ has representations by 1d, 2d, and 3d Young diagrams. (Shifted) Quiver Quantum Toroidal Algebra acts on more general  1d, 2d, and 3d crystals. We study the way of constructing 2d crystals representations from 1d crystals representations.