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  1. Vasily Krylov. E-mail: krylovasya@gmail.com, krvas@mit.edu. Website: https://web.mit.edu/krvas/www/Index.html. Research interests: representation theory, algebraic geometry. Education: 2013-2017 B.S. National Research University Higher School of Economics, Faculty of Mathematics.

  2. Feb 20, 2022 · Hikita-Nakajima conjecture for the Gieseker variety. Vasily Krylov, Pavel Shlykov. Let M0 be an affine Nakajima quiver variety, and M is the corresponding BFN Coulomb branch. Assume that M0 can be resolved by the (smooth) Nakajima quiver variety M.

  3. Vasily Krylov, Pavel Shlykov. Hikita-Nakajima conjecture is a general conjecture about the relation between the geometry of symplectically dual varieties. In this paper, we prove Hikita-Nakajima conjecture for the ADHM spaces (also known as Gieseker varieties).

  4. Vasily Shlykov was born on 22 November 1953. He is an actor and writer, known for Risk bez kontrakta (1992), Savoy (1990) and A Man from Boulevard des Capucines (1987).

  5. Theorem [K-Shlykov] Hikita-Nakajima conjecture holds for ADHM spaces i.e. for X = M(n,r),Y! = Sn(A2/(Z/rZ)). Vasily Krylov Hikita-Nakajima conjecture for ADHM spaces Based on the joint work with Pavel Shlykov: arXiv:2202.09934 9/14

  6. Risk bez kontrakta: Directed by Igor Murugov. With Vasily Shlykov, Tatyana Skorokhodova, Lidiya Velezheva, Valeri Poroshin. Sergey Gromov is professional stuntman. While accepting easy-to-done job for good money, he finds himself involved in dangerous game of some mafiosi.

  7. Mar 31, 2023 · Abstract. Symplectic duality predicts that symplectic singularities should come in pairs. For example, Nakajima quiver varieties are conjecturally dual to BFN Coulomb branches (of the corresponding quiver theories).