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.
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| 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) |
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| 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) |