## 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__) |