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On recent realizations of affine vertex algebras and their applications

Vrijeme: 27.1.2021
17:30
Predavaonica: vir
Predavač: Dražen Adamović, PMF-MO
Naziv: On recent realizations of affine vertex algebras and their applications
Opis:

The talk is scheduled in virtual setting, using Zoom platform. The talk will also be live-streamed via YouTube. During the meeting, the questions can be posed via chat or audio for participants in the meeting. Everybody interested is invited to participate in the Zoom meeting, with the limit of 100 participants, or to follow the live-broadcast.

Link to Zoom meeting will appear on this page few days before the talk.
Link to YouTube live broadcast will be put here 10 minutes before the talk.

The talk will be in English.

Abstract: Vertex-operator constructions of affine Kac-Moody Lie algebras, discovered around 1980, represent one of the most important motivations for the development of modern vertex-algebra theory.
In the last few years, new explicit realizations of affine vertex-algebras have been investigated, motivated by the study of modern physical theories and their correspondence with the theory of vertex-algebras.
We will present our discoveries in this direction, published in several articles, and discuss applications in the representation theory of infinite-dimensional Lie algebras and W-algebras.

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