Geometry and representation theory of symplectic singularities in the context of symplectic duality by Krylov, Vasily

“…This thesis studies the geometry and representation theory of various symplectic resolutions of singularities from different perspectives. Specifically, following the ideas of Bellamy, Hilburn, Kamnitzer, Tingley, Webster, Weekes, and Yacobi, we establish a general approach to attack the Hikita-Nakajima conjecture and illustrate this approach in the example of ADHM spaces. …”
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Integrating LFG’s binding theory with PCDRT by Dalrymple, M, Haug, D, Lowe, J

“…We integrate PCDRT into the constraint-based grammatical framework of Lexical-Functional Grammar (LFG), and show how it is possible to state syntactic constraints on the pragmatic resolution of singular and plural anaphora within this framework.…”

Box graphs and resolutions II: From Coulomb phases to fiber faces by Braun, A, Schäfer-Nameki, S

“…Box graphs, or equivalently Coulomb phases of three-dimensional N= 2 supersymmetric gauge theories with matter, give a succinct, comprehensive and elegant characterization of crepant resolutions of singular elliptically fibered varieties. Furthermore, the box graphs predict that the phases are organized in terms of a network of flop transitions. …”

Stability Conditions for Slodowy Slices and Real Variations of Stability by Mirkovic, Ivan, Anno, Irina, Bezrukavnikov, Roman

“…Okounkov on examples of this structure arising from symplectic resolutions of singularities and its relation to equivariant quantum cohomology. …”
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