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Algebraic Geometry Seminar | Complex cobordisms, theta divisors and permutohedra

来源: 05-16

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时间:Friday, 15:30-16:30 May 17, 2024

地点:Jingzhai 105 (静斋105); Zoom Meeting ID: 262 865 5007 Passcode: YMSC

组织者:Caucher Birkar, 曲三太,陈炳仪

主讲人:A.P. Veselov (Loughborough, UK)

Abstract:

From the work of S.P. Novikov’s school in 1960s it was known that the logarithm of the formal group in complex cobordisms can be written explicitly in terms of the complex projective spaces, but the algebro-geometric nature of the coefficients of the corresponding exponential was not clear until recently. In the talk I will explain that the answer can be given by the smooth theta divisors of principally polarised abelian varieties. We will see also interesting relations between the theta divisors, permutohedral varieties and Tomei manifolds from the integrable Toda lattice theory. The talk is based on joint works with V.M. Buchstaber.

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