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Mirror symmetry and K-theoretic Coulomb branches

Mathematical Physics Seminar

Speaker: Benjamin Gammage, Berkeley
Location: 2112 MSB
Start time: Thu, May 2 2019, 3:30PM

Focusing on the example of multiplicative hypertoric varieties, we explain features of homological mirror symmetry expected for multiplicative Coulomb branches. The Fukaya categories of these spaces should be generated by holomorphic Lagrangian branes transverse to the components of a singular Hitchin fiber, and the mirror BBB-branes produced via quantization in characteristic p. If time permits, we will also discuss the case of the Springer resolution. This is based on joint work with Michael McBreen and Ben Webster.