2–5 Jul 2024
Osijek
Europe/Zagreb timezone

W-algebras and their hidden relations

2 Jul 2024, 16:45
20m
D8 (School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek)

D8

School of Applied Mathematics and Informatics, J. J. Strossmayer University of Osijek

Trg Ljudevita Gaja 6, Osijek
Talk ALG: Algebra Algebra

Speaker

Shigenori Nakatsuka (University of Alberta)

Description

We consider W-algebras, a class of vertex algebras that non-linearly generalize the affine Kac-Moody Lie algebras and the Virasoro Lie algebra. They are obtained from the affine Kac-Moody Lie algebras through quantum Hamiltonian reductions parameterized nilpotent orbits. In this talk, we discuss how W-algebras are related to each other, which is partially anticipated from their connections to four-dimensional physics and the Whittaker models of $p$-adic groups.

Primary author

Shigenori Nakatsuka (University of Alberta)

Co-authors

Prof. Andrew Linshaw (University of Denver) Dr Justine Fasquel (University of Melbourne) Prof. Thomas Creutzig (University of Alberta)

Presentation materials

There are no materials yet.