Data evento: 
Giovedì, 17 Luglio, 2014 - 16:15

Aula 1B1

Cristiano Husu (University of Connecticut)

From partitions to the Jacobi identity for vertex operators: a (very brief) sketch of Lie algebra structures and combinatorial analysis


There is a "long journey" that begins with the formal calculus of the Jacobi identities for vertex operator algebras and modules, passes through complex analysis, Galois theory, generalized commutators and anticommutators for standard representations of affine Lie algebras, and leads to partition identities in which the parts are restricted by differences and congruences. The similar nature of the combinatorial analysis of the Jacobi identity, at the beginning, and the combinatorics of the partitions, at the end, suggests that part of this journey may be circular.