Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Georgian Sarghi
Affiliation:

Universität Bonn
Date:

Wed, 15/06/2022 - 13:00 - 14:15 Contact: Nitin Chidambaram (kcnitin@mpim-bonn.mpg.de)

Virasoro constraints are often satisfied by generating functions appearing in enumerative geometry. The most famous example is the Witten-Kontsewich partition function, for which one can explicitly write a family of differential operators L_k forming a representation of the Virasoro algebra and such that they annihilate the partition function. One approach to formally study such constraints (and their generalization W-constraints) can be found in the (higher) quantum Airy structures introduced by Kontsevich and Soibelman. In this talk, I will present a family of higher quantum Airy structures coming from the W-algebra of gl_n at the self-dual level found in the work of Borot, Bouchard, Chidambaram, Creuzig and Noshchenko. We will see some applications in Witten r-spin theory and in the open intersection theory of Pandharipande, Solomon and Tessler.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/11448