19 September 2023
King's Buildings
UTC timezone

Symplectic geometry of Coulomb branches

19 Sep 2023, 13:00
50m
5323 (JCMB)

5323

JCMB

Speaker

Gwyn Bellamy (University of Glasgow)

Description

In their landmark paper in 2016, Braverman-Finkelberg-Nakajima gave a mathematically rigour definition of the Coulomb branch of 3d N=4 supersymmetric gauge theories (of cotangent type). This broad class of spaces have many remarkable properties and are expected to play a key role in developing a geometric representation theory around "double affine Grassmannians". In particular, they conjectured that these spaces should be examples of symplectic singularities. In this talk I'll describe some of the basic properties of these spaces and outline a simple proof of the fact that they have do indeed have symplectic singularities.

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