## String-Math Seminar: Geometry of bow varieties

Seminar | March 20 | 2-3 p.m. | 402 LeConte Hall

Hiraku Nakajima, Kyoto University

Department of Mathematics

Bow varieties were introduced by Cherkis as analog of ADHM type description of instanton moduli spaces on the Taub-NUT space ( $\mathbb C^2$ with a hyper-Kaehler metric, not an Euclidean one.) We study these varieties from more algebro-geometric point of view, and introduce their `multiplicative' analog. Applications are their identifications with Coulomb branches of 3d and 4d gauge theories respectively. The first part is joint work with Y.Takayama, while the second is with D.Yamakawa.

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