## Spring 2021

The seminar meets Fridays at 3pm, on Zoom. Email for information or to be added to the mailing list.

### Next talk

The seminar will resume in the Fall.

#### Ethan Shelburne Toward a holographic transform for the quantum Clebsch-Gordan formula

Abstract: A holographic transform is an equivariant map which increases the number of variables in its domain, a space of functions. The tensor product of two finite dimensional irreducible representations of the Lie algebra $\mathfrak{sl}(2)$ decomposes into a direct sum of irreducible modules. In fact, the tensor product of representations of $U_q(\mathfrak{sl}(2))$, the quantum analogue of $\mathfrak{sl}(2)$, decomposes in the same way. The purpose of this talk will be discussing the search for explicit holographic transforms associated with these decompositions.

 4/30 Ethan Shelburne'21 Toward a holographic transform for quantum Clebsch-Gordan (Notes) 4/23 Çisil Karagüzel (UC Santa Cruz) Fusion systems of blocks of finite groups over arbitrary fields (Notes) 4/16 Pierre Clare Von Neumann algebras, subfactors and knots, III (Notes) 3/26 Spencer Schrandt'21 Reality and strong reality in finite symplectic groups (Notes) 3/12 Pierre Clare Von Neumann algebras, subfactors and knots, II (Notes) 3/05 Pierre Clare Von Neumann algebras, subfactors and knots, I (Notes) 2/19 Olivia Ding'21 The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a tree (Notes) 2/12 Spring Break Day No Talk 2/05 Charles Johnson Topics on the nonnegative inverse eigenvalue problem (Notes), (Survey)