Buongiorno,
Vi scrivo per ricordarvi che domani 16 Maggio, in Aula Seminari alle 14:30, Domenico Fiorenza (Sapienza Università di Roma) terrà il seminario dal titolo:
Projective 2-representations of linear Lagrangian correspondences
di cui riporto l'abstract:
As recently illustrated by Ludewig and Roos, second quantization of
fermions, i.e., the algebraic construction associating with a quadratic
vector space its Clifford algebra and to a Lagrangian relation its
exterior algebra (the Fock module) is an anomalous functor with values
in the 2-category of algebras, bimodules and bimodule morphisms, with
anomaly given by determinant lines. This can be equivalently seen as a
projective 2-representation of the category of Lagrangian relations. By
analogy to what happens with projective representations of groups, this
suggests that suitable 2-central extensions of the category of
Lagrangian relations should lift this projective 2-representation to an
actual, i.e., non-anomalous, 2-representation. This makes the
generalized Lagrangian relations considered by Stolz and Teichner
naturally appear. Based on joint work in progress with Chetan Vuppulury.
Per chi fosse interessato ad andare a pranzo con lo speaker ci troveremo per l'una e mezza in atrio.
A presto,
Carlo