Rachel Chaiser (CU Boulder) Hilbert C*-modules - Projections and Unitaries
Oct. 01, 2020 3pm (Zoom (vir…
Rep Theory
Reimundo Heluani (IMPA, Brazil)
X
We prove a new Fermionic quasiparticle sum expression for the character of the Ising model vertex algebra, related to the Jackson-Slater q-series identity of Rogers-Ramanujan type. We find, as consequences, an explicit monomial basis for the Ising model, and a description of its singular support. We find that the ideal sheaf of the latter, defining it as a subscheme of the arc space of its associated scheme, is finitely generated as a differential ideal. We prove three new q-series identities of the Rogers-Ramanujan-Slater type associated with the three irreducible modules of the Virasoro Lie algebra of central charge 1/2. This is joint work with G. E. Andrews and J. van Ekeren and is based on arxiv.org:2005.10769
Assume you attend one Fall 2020 Grad Student Seminar at random. Somehow you know there is at least a 1/20 chance the random talk is on the probabilistic method with examples in combinatorics and geometric functional analysis. This would imply there is at least one talk this semester with the above property, otherwise how could there possibly be any chance of such a thing happening? You now understand how the probabilistic method is used to prove the existence of mathematical objects. Since you are now an expert you know the probabilistic method is nonconstructive and the only way to find this talk is to show up every week.