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Jun 17, 2024 · By Maxim Kontsevich A polynomial P in two variables defines a one-parameter family of spectral curves which are level sets of P, and the corresponding variation of Hodge structures on 1st cohomology groups of these curves.
Jun 20, 2024 · Maxim Kontsevich, plenary speaker. AXA-IHES Chair in Mathematics, Permanent Professor at IHES since 1995, member of the Académie des sciences; Winner: Fields Medal (1998), Crafoord Prize (2008), Shaw Prize (2012), Breakthrough Prize in Fundamental Physics (2012), Breakthrough Prize in Mathematics (2014)
Jun 16, 2024 · There are many conjectures due to Edward Witten; but by the Witten conjecture one usually refers to the statement proven in ( Kontsevich 92) with new proofs due to Mirzakhani 07a, Mirzakhani 07b and others.
Jun 21, 2024 · On quantum cohomology rings of flag varieties — “quantum Schubert calculus ”: Specifically the case of CPN \mathbb {C}P^N ( CPN \mathbb {C}P^N sigma-model ): And specifically the case of CP1 \mathbb {C}P^1:
Jun 15, 2024 · By Maxim Kontsevich Appears in collection : Physical Mathematics : Celebration of Albert Schwarz’s 70 Years in Science A polynomial P in two variables defines a one-parameter family of spectral curves which are level sets of P, and the corresponding variation of Hodge structures on 1st cohomology groups of these curves.
Jun 12, 2024 · Maxim Kontsevich and Anton Zorich, Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Invent. Math. Math. 153 (2003), no. 3, 631–678.
4 days ago · During his time at IHES, Alexander Goncharov particularly enjoyed discussing mathematics with many people at IHES, and especially Maxim Kontsevich, whom he first met as a student in Israel Gelfand’s seminar at Moscow State University.
