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.



4/30Ethan Shelburne'21Toward a holographic transform for quantum Clebsch-Gordan (Notes)
4/23Çisil Karagüzel (UC Santa Cruz)Fusion systems of blocks of finite groups over arbitrary fields (Notes)
4/16Pierre ClareVon Neumann algebras, subfactors and knots, III (Notes)
3/26Spencer Schrandt'21Reality and strong reality in finite symplectic groups (Notes)
3/12Pierre ClareVon Neumann algebras, subfactors and knots, II (Notes)
3/05Pierre ClareVon Neumann algebras, subfactors and knots, I (Notes)
2/19Olivia Ding'21The minimum number of multiplicity 1 eigenvalues among
real symmetric matrices whose graph is a tree (Notes)
2/12Spring Break DayNo Talk
2/05Charles JohnsonTopics on the nonnegative inverse eigenvalue problem (Notes), (Survey)